Project-3/docs/plot__single__particle_8py_source.html
2023-10-19 18:37:42 +02:00

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<div id="projectname">Penning Trap Simulation
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<div id="projectbrief">Simulate particle behavior inside a Penning Trap</div>
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<div class="headertitle"><div class="title">plot_single_particle.py</div></div>
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="keyword">import</span> matplotlib.pyplot <span class="keyword">as</span> plt</div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="keyword">import</span> numpy <span class="keyword">as</span> np</div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="keyword">def </span>z(t):</div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span> V_0 = 25.*9.64852558 * 10**4</div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> m = 40.</div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> d = 500.</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> w_z = np.sqrt((2.*V_0)/(m*d*d))</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> <span class="keywordflow">return</span> 20.*np.cos(w_z*t)</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="keyword">def </span>main():</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> filename = <span class="stringliteral">&quot;output/simulate_single_particle/particle_0_r.txt&quot;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> r = t = []</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> <span class="keyword">with</span> open(filename) <span class="keyword">as</span> f:</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> lines = f.readlines()</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> t = np.linspace(0, 50, len(lines))</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> r = np.array([list(map(float, line.strip().split(<span class="stringliteral">&quot;,&quot;</span>))) <span class="keywordflow">for</span> line <span class="keywordflow">in</span> lines])</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> plt.plot(t, r[:, 2], label=<span class="stringliteral">&quot;approximation&quot;</span>)</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> plt.plot(t, z(t), label=<span class="stringliteral">&quot;analytical&quot;</span>)</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> plt.xlabel(<span class="stringliteral">r&quot;time $(\mu s)$&quot;</span>)</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> plt.ylabel(<span class="stringliteral">r&quot;z $(\mu m)$&quot;</span>)</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> plt.title(<span class="stringliteral">r&quot;Movement of a single particle in the x direction&quot;</span>)</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> plt.legend()</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="comment"># plt.savefig(&quot;../latex/images/single_particle.pdf&quot;)</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> plt.show()</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keywordflow">if</span> __name__ == <span class="stringliteral">&quot;__main__&quot;</span>:</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> main()</div>
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