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Andeloth committed Jan 23, 2024
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13 changes: 0 additions & 13 deletions _sources/pages/y_branch.ipynb
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Expand Up @@ -211,19 +211,6 @@
"- Manufacturing Variability: Due to the larger scale of directional couplers, they are more likely to be affected by fab variance."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Practice\n",
"\n",
"<details>\n",
" <summary>Answer</summary>\n",
" Here is the answer \n",
"</details>"
]
},
{
"attachments": {},
"cell_type": "markdown",
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4 changes: 2 additions & 2 deletions pages/directional_couplers.html
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Expand Up @@ -564,8 +564,8 @@ <h3>Coupling length and the gap between waveguides<a class="headerlink" href="#c
\]</div>
<p>Because of this difference in propagation constants, the modes travel at different speeds down the waveguide and so the field intensity oscillates between the two waveguides. This is called beating. One beat is equivalent to the coupling length, or cross-over length, and it is the length it takes for all of the power from one waveguide to be coupled into the other. As the gap between the waveguides gets smaller, the beating gets faster since <span class="math notranslate nohighlight">\(\Delta n\)</span> gets larger, making the cross-over length shorter.</p>
<p>This cross-over length <span class="math notranslate nohighlight">\(L\)</span>, that gives 100% power transfer is found with:</p>
<div class="amsmath math notranslate nohighlight" id="equation-ea3a9812-02d7-4c2a-add4-78b5def900f6">
<span class="eqno">(2)<a class="headerlink" href="#equation-ea3a9812-02d7-4c2a-add4-78b5def900f6" title="Permalink to this equation">#</a></span>\[\begin{align}
<div class="amsmath math notranslate nohighlight" id="equation-f02fdd01-2fb4-4716-a30c-4da9a44c10cb">
<span class="eqno">(2)<a class="headerlink" href="#equation-f02fdd01-2fb4-4716-a30c-4da9a44c10cb" title="Permalink to this equation">#</a></span>\[\begin{align}
L_{\text{cross-over}} = \frac {\lambda}{2\Delta n} \nonumber
\end{align}\]</div>
<p>This is found from determining what length when multiplied by the propagation constants makes the phase difference <span class="math notranslate nohighlight">\(\pi\)</span>:</p>
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8 changes: 0 additions & 8 deletions pages/y_branch.html
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Expand Up @@ -311,7 +311,6 @@ <h2> Contents </h2>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#splitting-light">Splitting Light</a><ul class="nav section-nav flex-column">
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#combining-light">Combining Light</a><ul class="nav section-nav flex-column">
<li class="toc-h4 nav-item toc-entry"><a class="reference internal nav-link" href="#design-considerations">Design Considerations</a></li>
<li class="toc-h4 nav-item toc-entry"><a class="reference internal nav-link" href="#practice">Practice</a></li>
<li class="toc-h4 nav-item toc-entry"><a class="reference internal nav-link" href="#sources">Sources</a></li>
</ul>
</li>
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<li><p>Manufacturing Variability: Due to the larger scale of directional couplers, they are more likely to be affected by fab variance.</p></li>
</ul>
</section>
<section id="practice">
<h4>Practice<a class="headerlink" href="#practice" title="Permalink to this heading">#</a></h4>
<details>
<summary>Answer</summary>
Here is the answer
</details></section>
<section id="sources">
<h4>Sources<a class="headerlink" href="#sources" title="Permalink to this heading">#</a></h4>
<p>“Silicon Photonics Design” by Lukas Chrostowski</p>
Expand Down Expand Up @@ -534,7 +527,6 @@ <h4>Sources<a class="headerlink" href="#sources" title="Permalink to this headin
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#splitting-light">Splitting Light</a><ul class="nav section-nav flex-column">
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#combining-light">Combining Light</a><ul class="nav section-nav flex-column">
<li class="toc-h4 nav-item toc-entry"><a class="reference internal nav-link" href="#design-considerations">Design Considerations</a></li>
<li class="toc-h4 nav-item toc-entry"><a class="reference internal nav-link" href="#practice">Practice</a></li>
<li class="toc-h4 nav-item toc-entry"><a class="reference internal nav-link" href="#sources">Sources</a></li>
</ul>
</li>
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2 changes: 1 addition & 1 deletion searchindex.js

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