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@ -2450,9 +2450,152 @@ parallelized and the operator() is expected to evaluate to reasonable values for
In case this cannot be ensured, the parallelization can be disabled by <em>&#8211;disable-omp</em> on the configure level of the program installation.</p> In case this cannot be ensured, the parallelization can be disabled by <em>&#8211;disable-omp</em> on the configure level of the program installation.</p>
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<div class="section" id="rge-file-handler-for-low-energy-mgrsr">
<span id="rge-handler"></span><span id="index-78"></span><h3>rge-file handler for Low-Energy μSR<a class="headerlink" href="#rge-file-handler-for-low-energy-mgrsr" title="Permalink to this headline"></a></h3>
<p>In the case of LE-μSR, the muon stopping distribution might have a profound impact on the muon polarization function <span class="math">\(P(t)\)</span>. In case of transverse field μSR measurements it can be written as</p>
<div class="math">
\[P(t) = \int_0^\infty n(z) \cos(\gamma_\mu B(z) t + \varphi) \, dz\]</div>
<p>where <span class="math">\(n(z)\)</span> is the normaized muon stopping distribution obtained from the Monte-Carlo code <tt class="docutils literal"><span class="pre">TRIM.SP</span></tt>. Normalized means</p>
<div class="math">
\[\int_0^\infty n(z) \, dz = 1.\]</div>
<p><span class="math">\(\gamma_\mu = 2 \pi \times 135.54\)</span> MHz/T is the gyromagnetic ratio of the muon and <span class="math">\(\varphi\)</span>
is the initial phase of the muon spins with respect to the positron detector. Typically <span class="math">\(B(z)\)</span> is the function which needs to be dealt with in a specific user function. A simple example would be the Meissner screening of a superconductor, for which</p>
<div class="math">
\[B(z) = B_0\, \exp(-z/\lambda),\]</div>
<p>with <span class="math">\(B_0\)</span> being the applied magnetic field, and <span class="math">\(\lambda\)</span> is the magnetic penetration depth.</p>
<p>This means that one needs to deal with the <span class="math">\(n(z)\)</span> objects in all these user functions. <span class="math">\(n(z)\)</span> does not only depend on the depth, but also on the implantation energy <span class="math">\(E_{\rm impl}\)</span>. For a real experiment this means that one is calculating a collection (various energies) of muon stopping distribution profiles with <tt class="docutils literal"><span class="pre">TRIM.SP</span></tt>. In the language of <tt class="docutils literal"><span class="pre">TRIM.SP</span></tt>, these files are called rge-files.</p>
<p>Since this is often needed in a detailed analysis of LE-μSR spectra, there is a special rge-file handler class implemented which deals with the loading, normalization and interpolation of these <span class="math">\(n(z, E_{\rm impl})\)</span> objects. The essential user-interface of this class with the name <tt class="docutils literal"><span class="pre">PRgeHandler</span></tt> is given
here:</p>
<div class="highlight-c++"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">PRgeHandler</span> <span class="o">:</span> <span class="k">public</span> <span class="n">TObject</span>
<span class="p">{</span>
<span class="k">public</span><span class="o">:</span>
<span class="n">PRgeHandler</span><span class="p">(</span><span class="n">std</span><span class="o">::</span><span class="n">string</span> <span class="n">fln</span><span class="o">=</span><span class="s">&quot;&quot;</span><span class="p">);</span>
<span class="k">virtual</span> <span class="o">~</span><span class="n">PRgeHandler</span><span class="p">()</span> <span class="p">{}</span>
<span class="k">virtual</span> <span class="kt">bool</span> <span class="n">IsValid</span><span class="p">()</span> <span class="p">{</span> <span class="k">return</span> <span class="n">fValid</span><span class="p">;</span> <span class="p">}</span>
<span class="k">virtual</span> <span class="n">PRgeDataList</span> <span class="n">GetRgeData</span><span class="p">()</span> <span class="p">{</span> <span class="k">return</span> <span class="n">fData</span><span class="p">;</span> <span class="p">}</span>
<span class="k">virtual</span> <span class="n">Double_t</span> <span class="n">GetZmax</span><span class="p">(</span><span class="k">const</span> <span class="n">Double_t</span> <span class="n">energy</span><span class="p">);</span>
<span class="k">virtual</span> <span class="n">Double_t</span> <span class="nf">GetZmax</span><span class="p">(</span><span class="k">const</span> <span class="n">Int_t</span> <span class="n">idx</span><span class="p">);</span>
<span class="k">virtual</span> <span class="n">Double_t</span> <span class="nf">Get_n</span><span class="p">(</span><span class="k">const</span> <span class="n">Double_t</span> <span class="n">energy</span><span class="p">,</span> <span class="k">const</span> <span class="n">Double_t</span> <span class="n">z</span><span class="p">);</span>
<span class="k">virtual</span> <span class="n">Double_t</span> <span class="nf">Get_n</span><span class="p">(</span><span class="k">const</span> <span class="n">Int_t</span> <span class="n">idx</span><span class="p">,</span> <span class="k">const</span> <span class="n">Double_t</span> <span class="n">z</span><span class="p">);</span>
<span class="k">virtual</span> <span class="n">Int_t</span> <span class="nf">GetEnergyIndex</span><span class="p">(</span><span class="k">const</span> <span class="n">Double_t</span> <span class="n">energy</span><span class="p">);</span>
<span class="k">private</span><span class="o">:</span>
<span class="kt">bool</span> <span class="n">fValid</span><span class="p">{</span><span class="nb">false</span><span class="p">};</span>
<span class="n">PRgeDataList</span> <span class="n">fData</span><span class="p">;</span>
<span class="k">virtual</span> <span class="kt">bool</span> <span class="nf">ReadRgeFile</span><span class="p">(</span><span class="k">const</span> <span class="n">std</span><span class="o">::</span><span class="n">string</span> <span class="n">fln</span><span class="p">,</span> <span class="n">PRgeData</span> <span class="o">&amp;</span><span class="n">data</span><span class="p">);</span>
<span class="p">};</span>
</pre></div>
</div>
<p>The rge-file objects are loaded internally (see below) and can easily be accessed via this interface. The <span class="math">\(n(z, E_{\rm impl})\)</span> data can either be accessed via <tt class="docutils literal"><span class="pre">Get_n(const</span> <span class="pre">Double_t</span> <span class="pre">energy,</span> <span class="pre">const</span> <span class="pre">Double_t</span> <span class="pre">z)</span></tt>, i.e. via the implantation energy (given in eV), or via <tt class="docutils literal"><span class="pre">Get_n(const</span> <span class="pre">Int_t</span> <span class="pre">idx,</span> <span class="pre">const</span> <span class="pre">Double_t</span> <span class="pre">z)</span></tt> with the index <tt class="docutils literal"><span class="pre">idx</span></tt> which is the energy index of the collection. Both this routines deliver <span class="math">\(n(z, E_{\rm impl})\)</span> in normalized form. The on via the energy index is slightly more efficient. The routine <tt class="docutils literal"><span class="pre">GetEnergyIndex(const</span> <span class="pre">Double_t</span> <span class="pre">energy)</span></tt> allows the get the proper energy index of the collection.</p>
<p>In order that class can find the rge-files at runtime, a xml-file is needed when calling the constructor. Very often, specific user-function need some additional input which is not delivered via the msr-files, but via a startup xml-file. In this case the rge-file will be just a part of the startup xml-file. For instance in the case of the Nonlocal Meissner screening user-function class, this looks like this</p>
<div class="highlight-xml"><div class="highlight"><pre><span></span><span class="cp">&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;</span>
<span class="nt">&lt;nonlocal</span> <span class="na">xmlns=</span><span class="s">&quot;http://nemu.web.psi.ch/musrfit/nonlocal&quot;</span><span class="nt">&gt;</span>
<span class="nt">&lt;comment&gt;</span>
Fourier and TrimSp information
<span class="nt">&lt;/comment&gt;</span>
<span class="nt">&lt;nonlocal_par&gt;</span>
<span class="nt">&lt;fourier_points&gt;</span>262144<span class="nt">&lt;/fourier_points&gt;</span>
<span class="nt">&lt;/nonlocal_par&gt;</span>
<span class="nt">&lt;trim_sp&gt;</span>
<span class="nt">&lt;data_path&gt;</span>./profiles/<span class="nt">&lt;/data_path&gt;</span>
<span class="nt">&lt;rge_fln_pre&gt;</span>Sn_E<span class="nt">&lt;/rge_fln_pre&gt;</span>
<span class="nt">&lt;energy_list&gt;</span>
<span class="nt">&lt;energy&gt;</span>1000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>2000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>4000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>6000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>8000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>10000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>12000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>14100<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>18000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>22000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>25000<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;energy&gt;</span>27300<span class="nt">&lt;/energy&gt;</span>
<span class="nt">&lt;/energy_list&gt;</span>
<span class="nt">&lt;/trim_sp&gt;</span>
<span class="nt">&lt;/nonlocal&gt;</span>
</pre></div>
</div>
<p>The relevant portion for the rge-file handler class is starting with the xml tag <tt class="docutils literal"><span class="pre">&lt;trim_sp&gt;</span></tt> and contains four further tags:</p>
<ul class="simple">
<li><tt class="docutils literal"><span class="pre">&lt;data_path&gt;</span></tt>: Here the path where to find the rge-files needs to be given</li>
<li><tt class="docutils literal"><span class="pre">&lt;rge_fln_pre&gt;</span></tt>: Start portion of the rge-file name.</li>
<li><tt class="docutils literal"><span class="pre">&lt;energy_list&gt;</span></tt>: This will embrace all the implantation energies available.</li>
<li><tt class="docutils literal"><span class="pre">&lt;energy&gt;</span></tt>: A single energy (in eV)</li>
</ul>
<p>In the given example the files are searched for in the sub-directory call <tt class="docutils literal"><span class="pre">profiles</span></tt> of the current directory. The rge-files have file names like
<tt class="docutils literal"><span class="pre">Sn_E1000.rge</span></tt>, <tt class="docutils literal"><span class="pre">Sn_E2000.rge</span></tt>, etc.</p>
<p>In the aforementioned Nonlocal Meissner screening class, in the constructor you will find the following invocation of the rge-handler object:</p>
<div class="highlight-c++"><div class="highlight"><pre><span></span><span class="n">PNL_PippardFitterGlobal</span><span class="o">::</span><span class="n">PNL_PippardFitterGlobal</span><span class="p">()</span>
<span class="p">{</span>
<span class="p">...</span>
<span class="c1">// load all the TRIM.SP rge-files</span>
<span class="n">fRgeHandler</span> <span class="o">=</span> <span class="k">new</span> <span class="n">PRgeHandler</span><span class="p">(</span><span class="s">&quot;./nonlocal_startup.xml&quot;</span><span class="p">);</span>
<span class="k">if</span> <span class="p">(</span><span class="o">!</span><span class="n">fRgeHandler</span><span class="o">-&gt;</span><span class="n">IsValid</span><span class="p">())</span> <span class="p">{</span>
<span class="n">std</span><span class="o">::</span><span class="n">cout</span> <span class="o">&lt;&lt;</span> <span class="n">std</span><span class="o">::</span><span class="n">endl</span> <span class="o">&lt;&lt;</span> <span class="s">&quot;&gt;&gt; PNL_PippardFitterGlobal::PNL_PippardFitterGlobal **PANIC ERROR**&quot;</span><span class="p">;</span>
<span class="n">std</span><span class="o">::</span><span class="n">cout</span> <span class="o">&lt;&lt;</span> <span class="n">std</span><span class="o">::</span><span class="n">endl</span> <span class="o">&lt;&lt;</span> <span class="s">&quot;&gt;&gt; rge data handler too unhappy. Will terminate unfriendly, sorry.&quot;</span><span class="p">;</span>
<span class="n">std</span><span class="o">::</span><span class="n">cout</span> <span class="o">&lt;&lt;</span> <span class="n">std</span><span class="o">::</span><span class="n">endl</span><span class="p">;</span>
<span class="n">fValid</span> <span class="o">=</span> <span class="nb">false</span><span class="p">;</span>
<span class="p">}</span>
<span class="p">...</span>
<span class="p">}</span>
</pre></div>
</div>
<p>And in the <tt class="docutils literal"><span class="pre">operator()</span></tt> function call which calculates the muon spin polarization, it will look like this</p>
<div class="highlight-c++"><div class="highlight"><pre><span></span><span class="n">Double_t</span> <span class="n">PNL_PippardFitter</span><span class="o">::</span><span class="k">operator</span><span class="p">()(</span><span class="n">Double_t</span> <span class="n">t</span><span class="p">,</span> <span class="k">const</span> <span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">Double_t</span><span class="o">&gt;</span> <span class="o">&amp;</span><span class="n">param</span><span class="p">)</span> <span class="k">const</span>
<span class="p">{</span>
<span class="p">...</span>
<span class="c1">// calculate field if parameter have changed</span>
<span class="n">fPippardFitterGlobal</span><span class="o">-&gt;</span><span class="n">CalculateField</span><span class="p">(</span><span class="n">param</span><span class="p">);</span>
<span class="n">Int_t</span> <span class="n">energyIndex</span> <span class="o">=</span> <span class="n">fPippardFitterGlobal</span><span class="o">-&gt;</span><span class="n">GetEnergyIndex</span><span class="p">(</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
<span class="k">if</span> <span class="p">(</span><span class="n">energyIndex</span> <span class="o">==</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span> <span class="p">{</span> <span class="c1">// energy not found</span>
<span class="n">std</span><span class="o">::</span><span class="n">cerr</span> <span class="o">&lt;&lt;</span> <span class="n">std</span><span class="o">::</span><span class="n">endl</span> <span class="o">&lt;&lt;</span> <span class="s">&quot;&gt;&gt; PNL_PippardFitter::operator() energy &quot;</span> <span class="o">&lt;&lt;</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">&lt;&lt;</span> <span class="s">&quot; not found. Will terminate.&quot;</span> <span class="o">&lt;&lt;</span> <span class="n">std</span><span class="o">::</span><span class="n">endl</span><span class="p">;</span>
<span class="n">assert</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
<span class="p">}</span>
<span class="p">...</span>
<span class="c1">// calcualte polarization</span>
<span class="n">Bool_t</span> <span class="n">done</span> <span class="o">=</span> <span class="nb">false</span><span class="p">;</span>
<span class="n">Double_t</span> <span class="n">pol</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">,</span> <span class="n">dPol</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">;</span>
<span class="n">Double_t</span> <span class="n">z</span><span class="o">=</span><span class="mf">0.0</span><span class="p">;</span>
<span class="n">Int_t</span> <span class="n">terminate</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
<span class="n">Double_t</span> <span class="n">dz</span> <span class="o">=</span> <span class="mf">1.0</span><span class="p">;</span>
<span class="k">do</span> <span class="p">{</span>
<span class="k">if</span> <span class="p">(</span><span class="n">z</span> <span class="o">&lt;</span> <span class="n">param</span><span class="p">[</span><span class="mi">8</span><span class="p">])</span> <span class="p">{</span> <span class="c1">// z &lt; dead-layer</span>
<span class="n">dPol</span> <span class="o">=</span> <span class="n">fPippardFitterGlobal</span><span class="o">-&gt;</span><span class="n">GetMuonStoppingDensity</span><span class="p">(</span><span class="n">energyIndex</span><span class="p">,</span> <span class="n">z</span><span class="p">)</span> <span class="o">*</span> <span class="n">cos</span><span class="p">(</span><span class="n">GAMMA_MU</span> <span class="o">*</span> <span class="n">param</span><span class="p">[</span><span class="mi">6</span><span class="p">]</span> <span class="o">*</span> <span class="n">t</span> <span class="o">+</span> <span class="n">param</span><span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="o">*</span> <span class="n">DEGREE2RAD</span><span class="p">);</span>
<span class="p">}</span> <span class="k">else</span> <span class="p">{</span>
<span class="n">dPol</span> <span class="o">=</span> <span class="n">fPippardFitterGlobal</span><span class="o">-&gt;</span><span class="n">GetMuonStoppingDensity</span><span class="p">(</span><span class="n">energyIndex</span><span class="p">,</span> <span class="n">z</span><span class="p">)</span> <span class="o">*</span> <span class="n">cos</span><span class="p">(</span><span class="n">GAMMA_MU</span> <span class="o">*</span> <span class="n">param</span><span class="p">[</span><span class="mi">6</span><span class="p">]</span> <span class="o">*</span> <span class="n">fPippardFitterGlobal</span><span class="o">-&gt;</span><span class="n">GetMagneticField</span><span class="p">(</span><span class="n">z</span><span class="o">-</span><span class="n">param</span><span class="p">[</span><span class="mi">8</span><span class="p">])</span> <span class="o">*</span> <span class="n">t</span> <span class="o">+</span> <span class="n">param</span><span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="o">*</span> <span class="n">DEGREE2RAD</span><span class="p">);</span>
<span class="p">}</span>
<span class="n">z</span> <span class="o">+=</span> <span class="n">dz</span><span class="p">;</span>
<span class="n">pol</span> <span class="o">+=</span> <span class="n">dPol</span><span class="p">;</span>
<span class="c1">// change in polarization is very small hence start termination counting</span>
<span class="k">if</span> <span class="p">(</span><span class="n">fabs</span><span class="p">(</span><span class="n">dPol</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">1.0e-9</span><span class="p">)</span> <span class="p">{</span>
<span class="n">terminate</span><span class="o">++</span><span class="p">;</span>
<span class="p">}</span> <span class="k">else</span> <span class="p">{</span>
<span class="n">terminate</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
<span class="p">}</span>
<span class="k">if</span> <span class="p">(</span><span class="n">terminate</span> <span class="o">&gt;</span> <span class="mi">10</span><span class="p">)</span> <span class="c1">// polarization died out hence one can stop</span>
<span class="n">done</span> <span class="o">=</span> <span class="nb">true</span><span class="p">;</span>
<span class="p">}</span> <span class="k">while</span> <span class="p">(</span><span class="o">!</span><span class="n">done</span><span class="p">);</span>
<span class="k">return</span> <span class="n">pol</span><span class="o">*</span><span class="n">dz</span><span class="p">;</span>
<span class="p">}</span>
</pre></div>
</div>
</div>
</div> </div>
<div class="section" id="technical-description-of-the-musrfit-framework"> <div class="section" id="technical-description-of-the-musrfit-framework">
<span id="technical-musrfit"></span><span id="index-78"></span><h2>Technical Description of the musrfit framework<a class="headerlink" href="#technical-description-of-the-musrfit-framework" title="Permalink to this headline"></a></h2> <span id="technical-musrfit"></span><span id="index-79"></span><h2>Technical Description of the musrfit framework<a class="headerlink" href="#technical-description-of-the-musrfit-framework" title="Permalink to this headline"></a></h2>
<p>A technical description of the musrfit framework can be found on its own <a class="reference external" href="http://lmu.web.psi.ch/musrfit/technical/index.html">docu</a>.</p> <p>A technical description of the musrfit framework can be found on its own <a class="reference external" href="http://lmu.web.psi.ch/musrfit/technical/index.html">docu</a>.</p>
</div> </div>
</div> </div>
@ -2505,6 +2648,7 @@ In case this cannot be ensured, the parallelization can be disabled by <em>&#821
<li><a class="reference internal" href="#id38">User Functions</a><ul> <li><a class="reference internal" href="#id38">User Functions</a><ul>
<li><a class="reference internal" href="#user-function-without-global-user-function-object-access">User Function without global user-function-object access</a></li> <li><a class="reference internal" href="#user-function-without-global-user-function-object-access">User Function without global user-function-object access</a></li>
<li><a class="reference internal" href="#user-function-with-global-user-function-object-access">User Function with global user-function-object access</a></li> <li><a class="reference internal" href="#user-function-with-global-user-function-object-access">User Function with global user-function-object access</a></li>
<li><a class="reference internal" href="#rge-file-handler-for-low-energy-mgrsr">rge-file handler for Low-Energy μSR</a></li>
</ul> </ul>
</li> </li>
<li><a class="reference internal" href="#technical-description-of-the-musrfit-framework">Technical Description of the musrfit framework</a></li> <li><a class="reference internal" href="#technical-description-of-the-musrfit-framework">Technical Description of the musrfit framework</a></li>
@ -2552,12 +2696,12 @@ In case this cannot be ensured, the parallelization can be disabled by <em>&#821
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<li><a href="index.html">musrfit 1.6.5 documentation</a> &raquo;</li> <li><a href="index.html">musrfit 1.7.1 documentation</a> &raquo;</li>
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