936 lines
44 KiB
HTML
936 lines
44 KiB
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<a href="#pub-methods">Public Member Functions</a> |
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<a href="#pri-attribs">Private Attributes</a> |
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<p>Simulate the evolution of a wave packet in 2 + 1 domensions.
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<a href="classWaveSimulation.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:acb9ed0a8b77ef23ad8682fdef00b5076"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#acb9ed0a8b77ef23ad8682fdef00b5076">WaveSimulation</a> (double <a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>, double <a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>, double <a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y, double thickness, double pos_x, double ap_sep, double ap, uint32_t slits)</td></tr>
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<tr class="memdesc:acb9ed0a8b77ef23ad8682fdef00b5076"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class. <br /></td></tr>
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<tr class="separator:acb9ed0a8b77ef23ad8682fdef00b5076"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a94cf5bb27a79ceefdcc1456704ba17e4"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a94cf5bb27a79ceefdcc1456704ba17e4">WaveSimulation</a> (double <a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a>, double <a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a>, double <a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a>, double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</td></tr>
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<tr class="memdesc:a94cf5bb27a79ceefdcc1456704ba17e4"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class with no wall. <br /></td></tr>
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<tr class="separator:a94cf5bb27a79ceefdcc1456704ba17e4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af9d988b741c59e6de3a32d506538019f"><td class="memItemLeft" align="right" valign="top"><a id="af9d988b741c59e6de3a32d506538019f" name="af9d988b741c59e6de3a32d506538019f"></a>
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void </td><td class="memItemRight" valign="bottom"><b>step</b> ()</td></tr>
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<tr class="memdesc:af9d988b741c59e6de3a32d506538019f"><td class="mdescLeft"> </td><td class="mdescRight">Evolve a step forward in time. <br /></td></tr>
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<tr class="separator:af9d988b741c59e6de3a32d506538019f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a82742cffc7c344d705c6a532ed605b0c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a82742cffc7c344d705c6a532ed605b0c">simulate</a> (std::string outfile, bool write_each_step=false)</td></tr>
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<tr class="memdesc:a82742cffc7c344d705c6a532ed605b0c"><td class="mdescLeft"> </td><td class="mdescRight">Evolve the wave packet until the time T has been reached and write U to file. <br /></td></tr>
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<tr class="separator:a82742cffc7c344d705c6a532ed605b0c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab142a9563a302f6cd4b015e3a388c1a4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#ab142a9563a302f6cd4b015e3a388c1a4">simulate</a> (std::string outfile, std::vector< double > &steps)</td></tr>
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<tr class="memdesc:ab142a9563a302f6cd4b015e3a388c1a4"><td class="mdescLeft"> </td><td class="mdescRight">Evolve the wave packet and write U to fileto file at each time step in the vector given. <br /></td></tr>
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<tr class="separator:ab142a9563a302f6cd4b015e3a388c1a4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af0752a10a110644d99ef5c6cab7421c9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#af0752a10a110644d99ef5c6cab7421c9">probability_deviation</a> (std::string outfile, bool write_each_step=false)</td></tr>
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<tr class="memdesc:af0752a10a110644d99ef5c6cab7421c9"><td class="mdescLeft"> </td><td class="mdescRight">Write the deviation of the sum of the probability of U from 1. <br /></td></tr>
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<tr class="separator:af0752a10a110644d99ef5c6cab7421c9"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-methods" name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:aed4433e3c80ceaad874471a994b6bf0e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#aed4433e3c80ceaad874471a994b6bf0e">initialize_U</a> (double x_c, double y_c, double sigma_x, double sigma_y, double p_x, double p_y)</td></tr>
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<tr class="memdesc:aed4433e3c80ceaad874471a994b6bf0e"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the U matrix using an unormalized Gaussian wave packet. <br /></td></tr>
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<tr class="separator:aed4433e3c80ceaad874471a994b6bf0e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a657df266bf09298fcb1b901b25fb2498"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a657df266bf09298fcb1b901b25fb2498">initialize_V</a> (double thickness, double pos_x, double aperture_separation, double aperture, uint32_t slits)</td></tr>
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<tr class="memdesc:a657df266bf09298fcb1b901b25fb2498"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the V matrix. <br /></td></tr>
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<tr class="separator:a657df266bf09298fcb1b901b25fb2498"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aad9e34b8466636b0a346dd30aef35eca"><td class="memItemLeft" align="right" valign="top"><a id="aad9e34b8466636b0a346dd30aef35eca" name="aad9e34b8466636b0a346dd30aef35eca"></a>
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void </td><td class="memItemRight" valign="bottom"><b>initialize_V</b> ()</td></tr>
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<tr class="memdesc:aad9e34b8466636b0a346dd30aef35eca"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the V matrix with no wall. <br /></td></tr>
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<tr class="separator:aad9e34b8466636b0a346dd30aef35eca"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6c1e7fb0526a7f7947beaedeb383d4c0"><td class="memItemLeft" align="right" valign="top"><a id="a6c1e7fb0526a7f7947beaedeb383d4c0" name="a6c1e7fb0526a7f7947beaedeb383d4c0"></a>
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void </td><td class="memItemRight" valign="bottom"><b>initialize_A</b> ()</td></tr>
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<tr class="memdesc:a6c1e7fb0526a7f7947beaedeb383d4c0"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the A matrix according to the Crank-Nicolson method. <br /></td></tr>
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<tr class="separator:a6c1e7fb0526a7f7947beaedeb383d4c0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a25100ad1ffbb0ba16e4928f0c2d58ae7"><td class="memItemLeft" align="right" valign="top"><a id="a25100ad1ffbb0ba16e4928f0c2d58ae7" name="a25100ad1ffbb0ba16e4928f0c2d58ae7"></a>
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void </td><td class="memItemRight" valign="bottom"><b>initialize_B</b> ()</td></tr>
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<tr class="memdesc:a25100ad1ffbb0ba16e4928f0c2d58ae7"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the B matrix according to the Crank-Nicolson method. <br /></td></tr>
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<tr class="separator:a25100ad1ffbb0ba16e4928f0c2d58ae7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acb893267a27945645510d736cba2939d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#acb893267a27945645510d736cba2939d">write_U</a> (std::ofstream &ofile)</td></tr>
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<tr class="memdesc:acb893267a27945645510d736cba2939d"><td class="mdescLeft"> </td><td class="mdescRight">Write the U matrix in a single line to the file buffer given. <br /></td></tr>
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<tr class="separator:acb893267a27945645510d736cba2939d"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a2e7becba595a864b5754be9e858ac3e9"><td class="memItemLeft" align="right" valign="top">int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a2e7becba595a864b5754be9e858ac3e9">M</a></td></tr>
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<tr class="memdesc:a2e7becba595a864b5754be9e858ac3e9"><td class="mdescLeft"> </td><td class="mdescRight">The size. <br /></td></tr>
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<tr class="separator:a2e7becba595a864b5754be9e858ac3e9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a36dda9ea37cc41e36c27f9729831786d"><td class="memItemLeft" align="right" valign="top">int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a36dda9ea37cc41e36c27f9729831786d">N</a></td></tr>
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<tr class="memdesc:a36dda9ea37cc41e36c27f9729831786d"><td class="mdescLeft"> </td><td class="mdescRight">The size of the inner part. <br /></td></tr>
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<tr class="separator:a36dda9ea37cc41e36c27f9729831786d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac40056e5c4b7ae3a022195cb447439b6"><td class="memItemLeft" align="right" valign="top">arma::cx_mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#ac40056e5c4b7ae3a022195cb447439b6">V</a></td></tr>
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<tr class="memdesc:ac40056e5c4b7ae3a022195cb447439b6"><td class="mdescLeft"> </td><td class="mdescRight">The potential matrix. <br /></td></tr>
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<tr class="separator:ac40056e5c4b7ae3a022195cb447439b6"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a02052a447cf7fb49001e231d3a856814"><td class="memItemLeft" align="right" valign="top">arma::cx_mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a02052a447cf7fb49001e231d3a856814">U</a></td></tr>
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<tr class="memdesc:a02052a447cf7fb49001e231d3a856814"><td class="mdescLeft"> </td><td class="mdescRight">The particle wave matrix. <br /></td></tr>
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<tr class="separator:a02052a447cf7fb49001e231d3a856814"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3e7fa7128020c39d51fa933aa7706fd1"><td class="memItemLeft" align="right" valign="top">arma::sp_cx_mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a3e7fa7128020c39d51fa933aa7706fd1">B</a></td></tr>
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<tr class="memdesc:a3e7fa7128020c39d51fa933aa7706fd1"><td class="mdescLeft"> </td><td class="mdescRight">The B matrix. <br /></td></tr>
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<tr class="separator:a3e7fa7128020c39d51fa933aa7706fd1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a09e997b44ad67b6e3497d77704cd47e7"><td class="memItemLeft" align="right" valign="top">arma::sp_cx_mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a09e997b44ad67b6e3497d77704cd47e7">A</a></td></tr>
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<tr class="memdesc:a09e997b44ad67b6e3497d77704cd47e7"><td class="mdescLeft"> </td><td class="mdescRight">The A matrix. <br /></td></tr>
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<tr class="separator:a09e997b44ad67b6e3497d77704cd47e7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a66f2d3a7d278888687822bc20df97f38"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a66f2d3a7d278888687822bc20df97f38">h</a></td></tr>
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<tr class="memdesc:a66f2d3a7d278888687822bc20df97f38"><td class="mdescLeft"> </td><td class="mdescRight">The step size in both x and y direction. <br /></td></tr>
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<tr class="separator:a66f2d3a7d278888687822bc20df97f38"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a07dbefef86c9ed894d526eea4b039be6"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#a07dbefef86c9ed894d526eea4b039be6">dt</a></td></tr>
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<tr class="memdesc:a07dbefef86c9ed894d526eea4b039be6"><td class="mdescLeft"> </td><td class="mdescRight">The step size int the time direction. <br /></td></tr>
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<tr class="separator:a07dbefef86c9ed894d526eea4b039be6"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aebd53edf928035c7a2438cdd3b1d7d7e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWaveSimulation.html#aebd53edf928035c7a2438cdd3b1d7d7e">T</a></td></tr>
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<tr class="memdesc:aebd53edf928035c7a2438cdd3b1d7d7e"><td class="mdescLeft"> </td><td class="mdescRight">The end time. <br /></td></tr>
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<tr class="separator:aebd53edf928035c7a2438cdd3b1d7d7e"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Simulate the evolution of a wave packet in 2 + 1 domensions. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00022">22</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<a id="acb9ed0a8b77ef23ad8682fdef00b5076" name="acb9ed0a8b77ef23ad8682fdef00b5076"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#acb9ed0a8b77ef23ad8682fdef00b5076">◆ </a></span>WaveSimulation() <span class="overload">[1/2]</span></h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">WaveSimulation::WaveSimulation </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>h</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>dt</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>T</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>x_c</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>y_c</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>sigma_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>sigma_y</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>p_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>p_y</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>thickness</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>pos_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>ap_sep</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>ap</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">uint32_t </td>
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<td class="paramname"><em>slits</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">h</td><td>The step size in the x and y direction. </td></tr>
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<tr><td class="paramname">dt</td><td>The step size in the temporal dimension. </td></tr>
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<tr><td class="paramname">T</td><td>The total time to simulate. </td></tr>
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<tr><td class="paramname">x_c</td><td>The center of the packet in the x direction. </td></tr>
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<tr><td class="paramname">y_c</td><td>The center of the packet in the y direction. </td></tr>
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<tr><td class="paramname">sigma_x</td><td>The The initial width in the x direction. </td></tr>
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<tr><td class="paramname">sigma_y</td><td>The The initial width in the y direction. </td></tr>
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<tr><td class="paramname">p_x</td><td>The wave packet momentum in the x direction. </td></tr>
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<tr><td class="paramname">p_y</td><td>The wave packet momentum in the y direction. </td></tr>
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<tr><td class="paramname">thickness</td><td>The thickness of the wall in the x direction. </td></tr>
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<tr><td class="paramname">pos_x</td><td>The center of the wall in the x direction. </td></tr>
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<tr><td class="paramname">ap_sep</td><td>The separation between each aperture. </td></tr>
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<tr><td class="paramname">ap</td><td>The aperture width. </td></tr>
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<tr><td class="paramname">slits</td><td>The number of slits. </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<a id="a94cf5bb27a79ceefdcc1456704ba17e4" name="a94cf5bb27a79ceefdcc1456704ba17e4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a94cf5bb27a79ceefdcc1456704ba17e4">◆ </a></span>WaveSimulation() <span class="overload">[2/2]</span></h2>
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<td class="memname">WaveSimulation::WaveSimulation </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>h</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>dt</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>T</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>x_c</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>y_c</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>sigma_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>sigma_y</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>p_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>p_y</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Constructor for the <a class="el" href="classWaveSimulation.html" title="Simulate the evolution of a wave packet in 2 + 1 domensions.">WaveSimulation</a> class with no wall. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">h</td><td>The step size in the x and y direction. </td></tr>
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<tr><td class="paramname">dt</td><td>The step size in the temporal dimension. </td></tr>
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<tr><td class="paramname">T</td><td>The total time to simulate. </td></tr>
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<tr><td class="paramname">x_c</td><td>The center of the packet in the x direction. </td></tr>
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<tr><td class="paramname">y_c</td><td>The center of the packet in the y direction. </td></tr>
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<tr><td class="paramname">sigma_x</td><td>The The initial width in the x direction. </td></tr>
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<tr><td class="paramname">sigma_y</td><td>The The initial width in the y direction. </td></tr>
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<tr><td class="paramname">p_x</td><td>The wave packet momentum in the x direction. </td></tr>
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<tr><td class="paramname">p_y</td><td>The wave packet momentum in the y direction. </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<a id="aed4433e3c80ceaad874471a994b6bf0e" name="aed4433e3c80ceaad874471a994b6bf0e"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aed4433e3c80ceaad874471a994b6bf0e">◆ </a></span>initialize_U()</h2>
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<div class="memitem">
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<table class="mlabels">
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<td class="memname">void WaveSimulation::initialize_U </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>x_c</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>y_c</em>, </td>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>sigma_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>sigma_y</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>p_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>p_y</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">private</span></span> </td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Initialize the U matrix using an unormalized Gaussian wave packet. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">x_c</td><td>The center of the packet in the x direction. </td></tr>
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<tr><td class="paramname">y_c</td><td>The center of the packet in the y direction. </td></tr>
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<tr><td class="paramname">sigma_x</td><td>The The initial width in the x direction. </td></tr>
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<tr><td class="paramname">sigma_y</td><td>The The initial width in the y direction. </td></tr>
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<tr><td class="paramname">p_x</td><td>The wave packet momentum in the x direction. </td></tr>
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<tr><td class="paramname">p_y</td><td>The wave packet momentum in the y direction. </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<a id="a657df266bf09298fcb1b901b25fb2498" name="a657df266bf09298fcb1b901b25fb2498"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a657df266bf09298fcb1b901b25fb2498">◆ </a></span>initialize_V()</h2>
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<td class="memname">void WaveSimulation::initialize_V </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>thickness</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>pos_x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>aperture_separation</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>aperture</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">uint32_t </td>
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<td class="paramname"><em>slits</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</table>
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</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">private</span></span> </td>
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</table>
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</div><div class="memdoc">
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<p>Initialize the V matrix. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">thickness</td><td>The thickness of the wall in the x direction. </td></tr>
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<tr><td class="paramname">pos_x</td><td>The center of the wall in the x direction. </td></tr>
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<tr><td class="paramname">ap_sep</td><td>The separation between each aperture. </td></tr>
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<tr><td class="paramname">ap</td><td>The aperture width. </td></tr>
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<tr><td class="paramname">slits</td><td>The number of slits. </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<a id="af0752a10a110644d99ef5c6cab7421c9" name="af0752a10a110644d99ef5c6cab7421c9"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af0752a10a110644d99ef5c6cab7421c9">◆ </a></span>probability_deviation()</h2>
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<td class="memname">void WaveSimulation::probability_deviation </td>
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<td>(</td>
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<td class="paramtype">std::string </td>
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<td class="paramname"><em>outfile</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">bool </td>
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<td class="paramname"><em>write_each_step</em> = <code>false</code> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Write the deviation of the sum of the probability of U from 1. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">outfile</td><td>The name of the file to write to to file </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<a id="a82742cffc7c344d705c6a532ed605b0c" name="a82742cffc7c344d705c6a532ed605b0c"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a82742cffc7c344d705c6a532ed605b0c">◆ </a></span>simulate() <span class="overload">[1/2]</span></h2>
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<td class="memname">void WaveSimulation::simulate </td>
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<td>(</td>
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<td class="paramtype">std::string </td>
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<td class="paramname"><em>outfile</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">bool </td>
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<td class="paramname"><em>write_each_step</em> = <code>false</code> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Evolve the wave packet until the time T has been reached and write U to file. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">outfile</td><td>The name of the file to write to </td></tr>
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<tr><td class="paramname">write_each_step</td><td>Boolean for deciding to write each step to file or just the last step </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab142a9563a302f6cd4b015e3a388c1a4">◆ </a></span>simulate() <span class="overload">[2/2]</span></h2>
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<td class="memname">void WaveSimulation::simulate </td>
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<td class="paramname"><em>outfile</em>, </td>
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<td class="paramtype">std::vector< double > & </td>
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<td class="paramname"><em>steps</em> </td>
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<td>)</td>
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<p>Evolve the wave packet and write U to fileto file at each time step in the vector given. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">outfile</td><td>The name of the file to write to </td></tr>
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<tr><td class="paramname">steps</td><td>What time steps to write U to file. </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#acb893267a27945645510d736cba2939d">◆ </a></span>write_U()</h2>
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<td class="memname">void WaveSimulation::write_U </td>
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<p>Write the U matrix in a single line to the file buffer given. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">ofile</td><td>The file buffer to write to </td></tr>
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<h2 class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a09e997b44ad67b6e3497d77704cd47e7">◆ </a></span>A</h2>
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<span class="mlabels"><span class="mlabel">private</span></span> </td>
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<p>The A matrix. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00029">29</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3e7fa7128020c39d51fa933aa7706fd1">◆ </a></span>B</h2>
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<p>The B matrix. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00028">28</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a07dbefef86c9ed894d526eea4b039be6">◆ </a></span>dt</h2>
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<p>The step size int the time direction. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00031">31</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a66f2d3a7d278888687822bc20df97f38">◆ </a></span>h</h2>
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<p>The step size in both x and y direction. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00030">30</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2e7becba595a864b5754be9e858ac3e9">◆ </a></span>M</h2>
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<p>The size. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00024">24</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a36dda9ea37cc41e36c27f9729831786d">◆ </a></span>N</h2>
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<p>The size of the inner part. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00025">25</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<p>The end time. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00032">32</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a02052a447cf7fb49001e231d3a856814">◆ </a></span>U</h2>
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<p>The particle wave matrix. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00027">27</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac40056e5c4b7ae3a022195cb447439b6">◆ </a></span>V</h2>
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<p>The potential matrix. </p>
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<p class="definition">Definition at line <a class="el" href="WaveSimulation_8hpp_source.html#l00026">26</a> of file <a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>include/<a class="el" href="WaveSimulation_8hpp_source.html">WaveSimulation.hpp</a></li>
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