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api/fdfd/index.html

@@ -4782,11 +4782,11 @@ customize the PML parameters.</p>
 
 <a href="#meanas.fdfd.farfield.near_to_farfield" class="headerlink" title="Permanent link">&para;</a></h3>
 <div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">near_to_farfield</span><span class="p">(</span>
-<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">E_near</span><span class="p">:</span> <span class="n">cfdfield_t</span><span class="p">,</span>
+<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">E_near</span><span class="p">:</span> <span class="n">transverse_slice_pair</span><span class="p">,</span>
-<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>    <span class="n">H_near</span><span class="p">:</span> <span class="n">cfdfield_t</span><span class="p">,</span>
+<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>    <span class="n">H_near</span><span class="p">:</span> <span class="n">transverse_slice_pair</span><span class="p">,</span>
 <a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a>    <span class="n">dx</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span>
 <a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a>    <span class="n">dy</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span>
-<a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a>    <span class="n">padded_size</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">]</span> <span class="o">|</span> <span class="nb">int</span> <span class="o">|</span> <span class="kc">None</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span>
+<a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a>    <span class="n">padded_size</span><span class="p">:</span> <span class="n">Sequence</span><span class="p">[</span><span class="nb">int</span><span class="p">]</span> <span class="o">|</span> <span class="nb">int</span> <span class="o">|</span> <span class="kc">None</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span>
 <a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">dict</span><span class="p">[</span><span class="nb">str</span><span class="p">,</span> <span class="n">Any</span><span class="p">]</span>
 </code></pre></div>
 
@@ -4813,7 +4813,7 @@ customize the PML parameters.</p>
                 <code>E_near</code>
             </td>
             <td>
-                  <code><span title="meanas.fdmath.cfdfield_t">cfdfield_t</span></code>
+                  <code><span title="meanas.fdfd.farfield.transverse_slice_pair">transverse_slice_pair</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4830,7 +4830,7 @@ customize the PML parameters.</p>
                 <code>H_near</code>
             </td>
             <td>
-                  <code><span title="meanas.fdmath.cfdfield_t">cfdfield_t</span></code>
+                  <code><span title="meanas.fdfd.farfield.transverse_slice_pair">transverse_slice_pair</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4879,7 +4879,7 @@ customize the PML parameters.</p>
                 <code>padded_size</code>
             </td>
             <td>
-                  <code><span title="list">list</span>[<span title="int">int</span>] | <span title="int">int</span> | None</code>
+                  <code><span title="collections.abc.Sequence">Sequence</span>[<span title="int">int</span>] | <span title="int">int</span> | None</code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -5009,11 +5009,11 @@ customize the PML parameters.</p>
 
 <a href="#meanas.fdfd.farfield.far_to_nearfield" class="headerlink" title="Permanent link">&para;</a></h3>
 <div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">far_to_nearfield</span><span class="p">(</span>
-<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">E_far</span><span class="p">:</span> <span class="n">cfdfield_t</span><span class="p">,</span>
+<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">E_far</span><span class="p">:</span> <span class="n">transverse_slice_pair</span><span class="p">,</span>
-<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>    <span class="n">H_far</span><span class="p">:</span> <span class="n">cfdfield_t</span><span class="p">,</span>
+<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>    <span class="n">H_far</span><span class="p">:</span> <span class="n">transverse_slice_pair</span><span class="p">,</span>
 <a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a>    <span class="n">dkx</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span>
 <a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a>    <span class="n">dky</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span>
-<a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a>    <span class="n">padded_size</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">]</span> <span class="o">|</span> <span class="nb">int</span> <span class="o">|</span> <span class="kc">None</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span>
+<a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a>    <span class="n">padded_size</span><span class="p">:</span> <span class="n">Sequence</span><span class="p">[</span><span class="nb">int</span><span class="p">]</span> <span class="o">|</span> <span class="nb">int</span> <span class="o">|</span> <span class="kc">None</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span>
 <a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">dict</span><span class="p">[</span><span class="nb">str</span><span class="p">,</span> <span class="n">Any</span><span class="p">]</span>
 </code></pre></div>
 
@@ -5040,7 +5040,7 @@ customize the PML parameters.</p>
                 <code>E_far</code>
             </td>
             <td>
-                  <code><span title="meanas.fdmath.cfdfield_t">cfdfield_t</span></code>
+                  <code><span title="meanas.fdfd.farfield.transverse_slice_pair">transverse_slice_pair</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -5059,7 +5059,7 @@ customize the PML parameters.</p>
                 <code>H_far</code>
             </td>
             <td>
-                  <code><span title="meanas.fdmath.cfdfield_t">cfdfield_t</span></code>
+                  <code><span title="meanas.fdfd.farfield.transverse_slice_pair">transverse_slice_pair</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -5110,7 +5110,7 @@ customize the PML parameters.</p>
                 <code>padded_size</code>
             </td>
             <td>
-                  <code><span title="list">list</span>[<span title="int">int</span>] | <span title="int">int</span> | None</code>
+                  <code><span title="collections.abc.Sequence">Sequence</span>[<span title="int">int</span>] | <span title="int">int</span> | None</code>
             </td>
             <td>
               <div class="doc-md-description">

api/fdmath/index.html

@@ -3493,7 +3493,7 @@ portions of the operator on the left side of the cross product.</p>
 
 
 <a href="#meanas.fdmath.operators.vec_cross" class="headerlink" title="Permanent link">&para;</a></h3>
-<div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">vec_cross</span><span class="p">(</span><span class="n">b</span><span class="p">:</span> <span class="n">vfdfield_t</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">sparse</span><span class="o">.</span><span class="n">sparray</span>
+<div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">vec_cross</span><span class="p">(</span><span class="n">b</span><span class="p">:</span> <span class="n">vfdfield</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">sparse</span><span class="o">.</span><span class="n">sparray</span>
 </code></pre></div>
 
     <div class="doc doc-contents ">
@@ -3517,7 +3517,7 @@ portions of the operator on the left side of the cross product.</p>
                 <code>b</code>
             </td>
             <td>
-                  <code><span title="meanas.fdmath.types.vfdfield_t">vfdfield_t</span></code>
+                  <code><a class="autorefs autorefs-internal" title="            vfdfield (meanas.fdmath.types.vfdfield)" href="#meanas.fdmath.types.vfdfield">vfdfield</a></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4344,12 +4344,12 @@ Vectorized versions of the field use row-major (ie., C-style) ordering.</p>
   </span>
 
 <a href="#meanas.fdmath.types.fdfield_updater_t" class="headerlink" title="Permanent link">&para;</a></h3>
-<div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="n">fdfield_updater_t</span> <span class="o">=</span> <span class="n">Callable</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="n">fdfield_t</span><span class="p">]</span>
+<div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="n">fdfield_updater_t</span> <span class="o">=</span> <span class="n">Callable</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="n">fdfield</span><span class="p">]</span>
 </code></pre></div>
 
     <div class="doc doc-contents ">
 
-        <p>Convenience type for functions which take and return an fdfield_t</p>
+        <p>Convenience type for functions which take and return a real <code>fdfield</code></p>
 
     </div>
 
@@ -4368,12 +4368,12 @@ Vectorized versions of the field use row-major (ie., C-style) ordering.</p>
   </span>
 
 <a href="#meanas.fdmath.types.cfdfield_updater_t" class="headerlink" title="Permanent link">&para;</a></h3>
-<div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="n">cfdfield_updater_t</span> <span class="o">=</span> <span class="n">Callable</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="n">cfdfield_t</span><span class="p">]</span>
+<div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="n">cfdfield_updater_t</span> <span class="o">=</span> <span class="n">Callable</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="n">cfdfield</span><span class="p">]</span>
 </code></pre></div>
 
     <div class="doc doc-contents ">
 
-        <p>Convenience type for functions which take and return an cfdfield_t</p>
+        <p>Convenience type for functions which take and return a complex <code>cfdfield</code></p>
 
     </div>
 

api/fdtd/index.html

@@ -2315,10 +2315,7 @@ with <code>None</code>.</p>
 <a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a>    <span class="n">epsilon</span><span class="p">:</span> <span class="n">fdfield</span><span class="p">,</span>
 <a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a>    <span class="o">*</span><span class="p">,</span>
 <a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a>    <span class="n">dtype</span><span class="p">:</span> <span class="n">DTypeLike</span> <span class="o">=</span> <span class="n">numpy</span><span class="o">.</span><span class="n">float32</span><span class="p">,</span>
-<a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">tuple</span><span class="p">[</span>
+<a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">tuple</span><span class="p">[</span><span class="n">Callable</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="kc">None</span><span class="p">],</span> <span class="n">Callable</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="kc">None</span><span class="p">]]</span>
-<a id="__codelineno-0-9" name="__codelineno-0-9" href="#__codelineno-0-9"></a>    <span class="n">Callable</span><span class="p">[[</span><span class="n">fdfield_t</span><span class="p">,</span> <span class="n">fdfield_t</span><span class="p">,</span> <span class="n">fdfield_t</span><span class="p">],</span> <span class="kc">None</span><span class="p">],</span>
-<a id="__codelineno-0-10" name="__codelineno-0-10" href="#__codelineno-0-10"></a>    <span class="n">Callable</span><span class="p">[[</span><span class="n">fdfield_t</span><span class="p">,</span> <span class="n">fdfield_t</span><span class="p">,</span> <span class="n">fdfield_t</span><span class="p">],</span> <span class="kc">None</span><span class="p">],</span>
-<a id="__codelineno-0-11" name="__codelineno-0-11" href="#__codelineno-0-11"></a><span class="p">]</span>
 </code></pre></div>
 
     <div class="doc doc-contents ">
@@ -2439,7 +2436,7 @@ Entries are the dictionaries returned by <code>cpml_params(...)</code>; use
       <tbody>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None]</code>
+                  <code><span title="collections.abc.Callable">Callable</span>[..., None]</code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -2449,7 +2446,7 @@ Entries are the dictionaries returned by <code>cpml_params(...)</code>; use
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None]</code>
+                  <code><span title="collections.abc.Callable">Callable</span>[..., None]</code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -2459,7 +2456,7 @@ Entries are the dictionaries returned by <code>cpml_params(...)</code>; use
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="tuple">tuple</span>[<span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None], <span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None]]</code>
+                  <code><span title="tuple">tuple</span>[<span title="collections.abc.Callable">Callable</span>[..., None], <span title="collections.abc.Callable">Callable</span>[..., None]]</code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -2471,7 +2468,7 @@ Entries are the dictionaries returned by <code>cpml_params(...)</code>; use
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="tuple">tuple</span>[<span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None], <span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None]]</code>
+                  <code><span title="tuple">tuple</span>[<span title="collections.abc.Callable">Callable</span>[..., None], <span title="collections.abc.Callable">Callable</span>[..., None]]</code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -2483,7 +2480,7 @@ Entries are the dictionaries returned by <code>cpml_params(...)</code>; use
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="tuple">tuple</span>[<span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None], <span title="collections.abc.Callable">Callable</span>[[<span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>, <span title="meanas.fdmath.fdfield_t">fdfield_t</span>], None]]</code>
+                  <code><span title="tuple">tuple</span>[<span title="collections.abc.Callable">Callable</span>[..., None], <span title="collections.abc.Callable">Callable</span>[..., None]]</code>
             </td>
             <td>
               <div class="doc-md-description">

api/waveguides/index.html

@@ -4449,7 +4449,7 @@ overlap window and how the expanded field is phased.</p>
 <a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a>    <span class="n">slices</span><span class="p">:</span> <span class="n">Sequence</span><span class="p">[</span><span class="nb">slice</span><span class="p">],</span>
 <a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a>    <span class="n">epsilon</span><span class="p">:</span> <span class="n">fdfield</span><span class="p">,</span>
 <a id="__codelineno-0-9" name="__codelineno-0-9" href="#__codelineno-0-9"></a>    <span class="n">mu</span><span class="p">:</span> <span class="n">fdfield</span> <span class="o">|</span> <span class="kc">None</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span>
-<a id="__codelineno-0-10" name="__codelineno-0-10" href="#__codelineno-0-10"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">dict</span><span class="p">[</span><span class="nb">str</span><span class="p">,</span> <span class="nb">complex</span> <span class="o">|</span> <span class="n">NDArray</span><span class="p">[</span><span class="n">complexfloating</span><span class="p">]]</span>
+<a id="__codelineno-0-10" name="__codelineno-0-10" href="#__codelineno-0-10"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">Waveguide3DMode</span>
 </code></pre></div>
 
     <div class="doc doc-contents ">
@@ -4618,7 +4618,7 @@ as the waveguide cross-section. <code>slices[axis]</code> must select exactly on
       <tbody>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="dict">dict</span>[<span title="str">str</span>, <span title="complex">complex</span> | <span title="numpy.typing.NDArray">NDArray</span>[<span title="numpy.complexfloating">complexfloating</span>]]</code>
+                  <code><span title="meanas.fdfd.waveguide_3d.Waveguide3DMode">Waveguide3DMode</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4628,7 +4628,7 @@ as the waveguide cross-section. <code>slices[axis]</code> must select exactly on
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="dict">dict</span>[<span title="str">str</span>, <span title="complex">complex</span> | <span title="numpy.typing.NDArray">NDArray</span>[<span title="numpy.complexfloating">complexfloating</span>]]</code>
+                  <code><span title="meanas.fdfd.waveguide_3d.Waveguide3DMode">Waveguide3DMode</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4640,7 +4640,7 @@ as the waveguide cross-section. <code>slices[axis]</code> must select exactly on
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="dict">dict</span>[<span title="str">str</span>, <span title="complex">complex</span> | <span title="numpy.typing.NDArray">NDArray</span>[<span title="numpy.complexfloating">complexfloating</span>]]</code>
+                  <code><span title="meanas.fdfd.waveguide_3d.Waveguide3DMode">Waveguide3DMode</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4652,7 +4652,7 @@ as the waveguide cross-section. <code>slices[axis]</code> must select exactly on
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="dict">dict</span>[<span title="str">str</span>, <span title="complex">complex</span> | <span title="numpy.typing.NDArray">NDArray</span>[<span title="numpy.complexfloating">complexfloating</span>]]</code>
+                  <code><span title="meanas.fdfd.waveguide_3d.Waveguide3DMode">Waveguide3DMode</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4665,7 +4665,7 @@ propagation axis</li>
           </tr>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="dict">dict</span>[<span title="str">str</span>, <span title="complex">complex</span> | <span title="numpy.typing.NDArray">NDArray</span>[<span title="numpy.complexfloating">complexfloating</span>]]</code>
+                  <code><span title="meanas.fdfd.waveguide_3d.Waveguide3DMode">Waveguide3DMode</span></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -4909,13 +4909,13 @@ same sign convention used elsewhere in the package:</p>
 
 <a href="#meanas.fdfd.waveguide_3d.compute_overlap_e" class="headerlink" title="Permanent link">&para;</a></h3>
 <div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">compute_overlap_e</span><span class="p">(</span>
-<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">E</span><span class="p">:</span> <span class="n">cfdfield_t</span><span class="p">,</span>
+<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">E</span><span class="p">:</span> <span class="n">cfdfield</span><span class="p">,</span>
 <a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>    <span class="n">wavenumber</span><span class="p">:</span> <span class="nb">complex</span><span class="p">,</span>
 <a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a>    <span class="n">dxes</span><span class="p">:</span> <span class="n">dx_lists_t</span><span class="p">,</span>
 <a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a>    <span class="n">axis</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span>
 <a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a>    <span class="n">polarity</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span>
 <a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a>    <span class="n">slices</span><span class="p">:</span> <span class="n">Sequence</span><span class="p">[</span><span class="nb">slice</span><span class="p">],</span>
-<a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a>    <span class="n">omega</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span>
+<a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a>    <span class="n">_omega</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span>
 <a id="__codelineno-0-9" name="__codelineno-0-9" href="#__codelineno-0-9"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">cfdfield_t</span>
 </code></pre></div>
 
@@ -4969,7 +4969,7 @@ B/wu (Ex Emx + Ey Emy) - j/wu (Ex dx Emz + Ey dy Emz)</p>
                 <code>E</code>
             </td>
             <td>
-                  <code><span title="meanas.fdmath.cfdfield_t">cfdfield_t</span></code>
+                  <code><a class="autorefs autorefs-internal" title="            cfdfield (meanas.fdmath.cfdfield)" href="../fdmath/#meanas.fdmath.types.cfdfield">cfdfield</a></code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -5766,7 +5766,7 @@ r within the simulation domain.</p>
 <a href="#meanas.fdfd.waveguide_cyl.solve_mode" class="headerlink" title="Permanent link">&para;</a></h3>
 <div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">solve_mode</span><span class="p">(</span>
 <a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">mode_number</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">:</span> <span class="n">Any</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">:</span> <span class="n">Any</span>
-<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">tuple</span><span class="p">[</span><span class="n">vcfdslice</span><span class="p">,</span> <span class="nb">complex</span><span class="p">]</span>
+<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">tuple</span><span class="p">[</span><span class="n">vcfdfield2</span><span class="p">,</span> <span class="nb">complex</span><span class="p">]</span>
 </code></pre></div>
 
     <div class="doc doc-contents ">
@@ -5848,7 +5848,7 @@ r within the simulation domain.</p>
       <tbody>
           <tr class="doc-section-item">
             <td>
-                  <code><span title="tuple">tuple</span>[<a class="autorefs autorefs-internal" title="            vcfdslice (meanas.fdmath.vcfdslice)" href="../fdmath/#meanas.fdmath.types.vcfdslice">vcfdslice</a>, <span title="complex">complex</span>]</code>
+                  <code><span title="tuple">tuple</span>[<a class="autorefs autorefs-internal" title="            vcfdfield2 (meanas.fdmath.vcfdfield2)" href="../fdmath/#meanas.fdmath.types.vcfdfield2">vcfdfield2</a>, <span title="complex">complex</span>]</code>
             </td>
             <td>
               <div class="doc-md-description">
@@ -5873,7 +5873,7 @@ r within the simulation domain.</p>
 
 <a href="#meanas.fdfd.waveguide_cyl.linear_wavenumbers" class="headerlink" title="Permanent link">&para;</a></h3>
 <div class="doc-signature highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="nf">linear_wavenumbers</span><span class="p">(</span>
-<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">e_xys</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="n">vcfdfield2_t</span><span class="p">],</span>
+<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>    <span class="n">e_xys</span><span class="p">:</span> <span class="n">Sequence</span><span class="p">[</span><span class="n">vcfdfield2</span><span class="p">]</span> <span class="o">|</span> <span class="n">NDArray</span><span class="p">[</span><span class="n">complex128</span><span class="p">],</span>
 <a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>    <span class="n">angular_wavenumbers</span><span class="p">:</span> <span class="n">ArrayLike</span><span class="p">,</span>
 <a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a>    <span class="n">epsilon</span><span class="p">:</span> <span class="n">vfdslice</span><span class="p">,</span>
 <a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a>    <span class="n">dxes</span><span class="p">:</span> <span class="n">dx_lists2_t</span><span class="p">,</span>
@@ -5903,7 +5903,7 @@ r within the simulation domain.</p>
                 <code>e_xys</code>
             </td>
             <td>
-                  <code><span title="list">list</span>[<span title="meanas.fdmath.vcfdfield2_t">vcfdfield2_t</span>]</code>
+                  <code><span title="collections.abc.Sequence">Sequence</span>[<a class="autorefs autorefs-internal" title="            vcfdfield2 (meanas.fdmath.vcfdfield2)" href="../fdmath/#meanas.fdmath.types.vcfdfield2">vcfdfield2</a>] | <span title="numpy.typing.NDArray">NDArray</span>[<span title="numpy.complex128">complex128</span>]</code>
             </td>
             <td>
               <div class="doc-md-description">