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<p>Import <code>GWSurrogate</code> and other useful modules:</p>
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<div class=" highlight hl-ipython2"><pre><span class="kn">import</span> <span class="nn">gwsurrogate</span> <span class="kn">as</span> <span class="nn">gws</span> <span class="c"># import gwsurrogate package</span>
<span class="kn">import</span> <span class="nn">gwtools</span> <span class="c"># import gwtools (a collection of useful python functions included with gwsurrogate)</span>
<span class="o">%</span><span class="k">matplotlib</span> inline
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span><span class="o">,</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span>
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<p>One can load only some modes of the surrogate data or all modes. Here, the (2,2) and (3,3) mode data is loaded from the full surrogate file.</p>
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<div class=" highlight hl-ipython2"><pre><span class="c"># Surrogate data located at http://www.black-holes.org/surrogates/</span>
<span class="n">spec</span> <span class="o">=</span> <span class="n">gws</span><span class="o">.</span><span class="n">EvaluateSurrogate</span><span class="p">(</span><span class="s">'SpEC_q1_10_NoSpin_nu5thDegPoly_exclude_2_0.h5'</span><span class="p">,</span> <span class="n">ell_m</span><span class="o">=</span><span class="p">[(</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">)])</span>
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<pre>loading surrogate mode... l2_m2
loading surrogate mode... l3_m3
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<p>Generating a waveform mode is easy. For example, the (2,2) mode produced by a binary black hole coalescence with mass ratio 1.7 is:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">modes</span><span class="p">,</span> <span class="n">times</span><span class="p">,</span> <span class="n">hp</span><span class="p">,</span> <span class="n">hc</span> <span class="o">=</span> <span class="n">spec</span><span class="p">(</span><span class="n">q</span><span class="o">=</span><span class="mf">1.7</span><span class="p">,</span> <span class="n">ell</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> <span class="n">m</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> <span class="n">mode_sum</span><span class="o">=</span><span class="bp">False</span><span class="p">,</span> <span class="n">fake_neg_modes</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
<span class="c"># Plot the (2,2) mode</span>
<span class="n">gwtools</span><span class="o">.</span><span class="n">plot_pretty</span><span class="p">(</span><span class="n">times</span><span class="p">,</span> <span class="p">[</span><span class="n">hp</span><span class="p">,</span> <span class="n">hc</span><span class="p">],</span><span class="n">fignum</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">times</span><span class="p">,</span><span class="n">gwtools</span><span class="o">.</span><span class="n">amp</span><span class="p">(</span><span class="n">hp</span><span class="o">+</span><span class="mi">1j</span><span class="o">*</span><span class="n">hc</span><span class="p">),</span><span class="s">'r'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s">'The (</span><span class="si">%i</span><span class="s">,</span><span class="si">%i</span><span class="s">) mode'</span><span class="o">%</span><span class="p">(</span><span class="n">modes</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span><span class="n">modes</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">1</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s">'t/M '</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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>
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<p>Other waveform harmonics are easy to generate as well. For example, the (3,3) and (3,-3) modes produced by the same binary are:</p>
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<div class="prompt input_prompt">In [8]:</div>
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<div class=" highlight hl-ipython2"><pre><span class="n">modes</span><span class="p">,</span> <span class="n">times</span><span class="p">,</span> <span class="n">hp</span><span class="p">,</span> <span class="n">hc</span> <span class="o">=</span> <span class="n">spec</span><span class="p">(</span><span class="n">q</span><span class="o">=</span><span class="mf">1.7</span><span class="p">,</span> <span class="n">ell</span><span class="o">=</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span> <span class="n">m</span><span class="o">=</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span> <span class="n">mode_sum</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
<span class="c"># Plot the (3,3) and (3,-3) modes</span>
<span class="n">gwtools</span><span class="o">.</span><span class="n">plot_pretty</span><span class="p">(</span><span class="n">times</span><span class="p">,</span> <span class="p">[</span><span class="n">hp</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span> <span class="n">hc</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]],</span><span class="n">fignum</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">times</span><span class="p">,</span><span class="n">gwtools</span><span class="o">.</span><span class="n">amp</span><span class="p">(</span><span class="n">hp</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="mi">1j</span><span class="o">*</span><span class="n">hc</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]),</span><span class="s">'r'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s">'t/M '</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s">'The (</span><span class="si">%i</span><span class="s">,</span><span class="si">%i</span><span class="s">) mode'</span><span class="o">%</span><span class="p">(</span><span class="n">modes</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span><span class="n">modes</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">1</span><span class="p">]))</span>
<span class="n">gwtools</span><span class="o">.</span><span class="n">plot_pretty</span><span class="p">(</span><span class="n">times</span><span class="p">,</span> <span class="p">[</span><span class="n">hp</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span> <span class="n">hc</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]],</span><span class="n">fignum</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">times</span><span class="p">,</span><span class="n">gwtools</span><span class="o">.</span><span class="n">amp</span><span class="p">(</span><span class="n">hp</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="mi">1j</span><span class="o">*</span><span class="n">hc</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]),</span><span class="s">'r'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s">'The (</span><span class="si">%i</span><span class="s">,</span><span class="si">%i</span><span class="s">) mode'</span><span class="o">%</span><span class="p">(</span><span class="n">modes</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span><span class="n">modes</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s">'t/M '</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
</div>
</div>
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<p>All modes can be generated by default when excluding the <code>ell</code> and <code>m</code> options. All requested modes can be summed with their respective spin-weighted -2 spherical harmonics by default (<code>mode_sum=True</code>).</p>
<p>See the <code>GWSurrogate</code> documentation and IPython notebook tutorials for more features. <code>GWSurrogate</code> can be downloaded from <a href="https://pypi.python.org/pypi/gwsurrogate/">https://pypi.python.org/pypi/gwsurrogate/</a>.</p>
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