diff --git a/_sources/pages/y_branch.ipynb b/_sources/pages/y_branch.ipynb index a411b79..1256aea 100644 --- a/_sources/pages/y_branch.ipynb +++ b/_sources/pages/y_branch.ipynb @@ -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", - "
\n", - " Answer\n", - " Here is the answer \n", - "
" - ] - }, { "attachments": {}, "cell_type": "markdown", diff --git a/pages/directional_couplers.html b/pages/directional_couplers.html index 2f79f34..cdd9e3c 100644 --- a/pages/directional_couplers.html +++ b/pages/directional_couplers.html @@ -564,8 +564,8 @@

Coupling length and the gap between waveguides\(\Delta n\) gets larger, making the cross-over length shorter.

This cross-over length \(L\), that gives 100% power transfer is found with:

-
-(2)#\[\begin{align} +
+(2)#\[\begin{align} L_{\text{cross-over}} = \frac {\lambda}{2\Delta n} \nonumber \end{align}\]

This is found from determining what length when multiplied by the propagation constants makes the phase difference \(\pi\):

diff --git a/pages/y_branch.html b/pages/y_branch.html index a0e1276..33cf5d1 100644 --- a/pages/y_branch.html +++ b/pages/y_branch.html @@ -311,7 +311,6 @@

Contents

  • Splitting Light -
    -

    Practice#

    -
    -Answer - Here is the answer -

    Sources#

    “Silicon Photonics Design” by Lukas Chrostowski

    @@ -534,7 +527,6 @@

    SourcesSplitting Light
    • Combining Light
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14, 19, 20, 21, 31, 33, 34, 39, 40, 42], "want": [3, 6, 11, 12, 19, 20, 21, 22, 31, 33, 34, 40, 43, 44], "case": [3, 8, 16, 18, 21, 27, 31, 42, 44], "def": [3, 6, 42, 44], "model_parabola": 3, "x": [3, 6, 8, 11, 20, 34, 39, 41, 42, 44], "b": [3, 6, 8, 42], "c": [3, 6, 8, 11, 21, 31], "d": [3, 7, 15, 31, 34, 40, 41, 42, 43], "e": [3, 6, 8, 11, 12, 18, 21, 27, 30, 33, 34, 36, 39, 40, 44], "return": [3, 6, 11, 19, 21, 34, 39, 42, 44], "3": [3, 8, 11, 14, 15, 18, 19, 20, 21, 22, 31, 33, 38, 39, 42, 44], "2": [3, 6, 8, 11, 14, 15, 18, 19, 20, 21, 31, 32, 33, 39, 42, 44], "now": [3, 6, 21, 23, 31, 32, 33, 34, 37, 39, 44], "just": [3, 6, 8, 11, 13, 14, 15, 17, 21, 27, 31, 34, 39, 44], "need": [3, 6, 11, 12, 21, 22, 31, 34, 36, 40, 41, 43, 44], "paramet": [3, 6, 8, 20, 21, 30, 33], "do": [3, 6, 15, 18, 19, 22, 34, 36, 37, 41], "curve_fit": 3, "scipi": [3, 12, 31], "take": [3, 6, 8, 11, 13, 19, 21, 28, 30, 33, 34, 41, 42, 43], "y": [3, 6, 8, 11, 20, 21, 25, 27, 34, 39, 41, 42], "an": [3, 6, 8, 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29, 30, 31, 32, 33, 34, 39, 41, 42], "even": [6, 8, 30, 31, 40], "hierarch": [6, 13], "nest": 6, "save": [6, 8, 11, 13, 14, 19, 20, 31, 33], "memori": [6, 13, 30], "becaus": [6, 8, 12, 14, 18, 20, 21, 22, 28, 29, 30, 33, 34, 40, 41, 42, 44], "core": [6, 8, 11, 18, 32, 38, 39, 40, 42], "onli": [6, 11, 12, 13, 15, 17, 20, 21, 22, 25, 31, 32, 33, 34, 36, 40, 41, 44], "onc": [6, 16, 30, 31, 34, 41], "referenc": 6, "mani": [6, 8, 11, 12, 13, 15, 17, 21, 22, 28, 30, 31, 33, 40, 44], "time": [6, 8, 11, 12, 13, 14, 16, 20, 21, 22, 27, 28, 29, 30, 31, 32, 33, 34, 40, 42, 43, 44], "These": [6, 8, 11, 12, 13, 18, 21, 22, 30, 32, 34, 41, 42], "place": [6, 8, 13, 20, 28, 30, 36], "anywher": [6, 31], "independ": [6, 28], "all": [6, 8, 12, 13, 14, 15, 17, 18, 20, 21, 22, 30, 31, 32, 33, 34, 36, 37, 40, 41, 42, 44], "appli": [6, 16, 18, 29, 34], "base": [6, 8, 12, 17, 20, 22, 28, 29, 30, 31, 34, 42, 44], "instanc": [6, 11, 18, 21, 30, 31], "had": [6, 11, 21, 30], "same": [6, 8, 11, 14, 15, 17, 18, 20, 21, 22, 28, 29, 30, 31, 33, 44], "taper": [6, 14, 20, 32], "its": [6, 8, 11, 17, 18, 21, 22, 28, 30, 31, 33, 34, 40, 41], "input": [6, 8, 13, 20, 21, 30, 33, 34, 44], "output": [6, 8, 11, 13, 14, 20, 21, 30, 33, 34, 42, 44], "repeatedli": 6, "would": [6, 11, 13, 14, 18, 20, 21, 22, 30, 32, 34, 43], "good": [6, 21, 34], "requir": [6, 8, 18, 21, 22, 28, 29, 30, 31], "higher": [6, 18, 27, 28, 29, 32, 33, 34, 39, 40, 44], "level": [6, 14, 21, 31], "By": [6, 11, 14, 21, 29], "draw": 6, "bank": 6, "without": [6, 13, 21, 22, 28, 29, 30, 31, 32], "much": [6, 8, 11, 21, 32, 33, 34, 37], "pattern": [6, 14, 18, 21, 30, 32], "where": [6, 8, 11, 20, 21, 22, 28, 31, 33, 34, 41, 44], "across": [6, 13, 21], "compos": [6, 30], "interconnect": [6, 13], "compound": 6, "intermedi": 6, "specifi": [6, 8, 11, 13, 14, 19, 31, 34, 40], "direct": [6, 13, 19, 20, 25, 30, 32, 33, 34, 39, 41, 42, 44], "face": [6, 13], "either": [6, 11, 13, 30, 41, 44], "out": [6, 8, 11, 13, 14, 16, 20, 21, 31, 32, 33, 34, 39, 41, 44], "also": [6, 8, 11, 12, 13, 14, 15, 16, 20, 21, 22, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44], "width": [6, 8, 13, 14, 18, 19, 20, 21, 29, 30, 33, 39, 40], "attach": [6, 11, 13], "your": [6, 8, 9, 11, 12, 13, 14, 16, 18, 19, 21, 22, 30, 31, 33, 34, 36, 37, 41, 43], "convei": 6, "inform": [6, 13, 15, 17, 18, 21, 22, 26, 27, 29, 30, 34, 37], "otherwis": [6, 21, 33], "seen": [6, 8, 11, 22, 33], "A": [6, 8, 13, 14, 18, 20, 21, 22, 26, 28, 29, 30, 31, 33, 36, 37, 38, 39, 40, 41, 44], "add_label": 6, "pass": [6, 11, 21, 27, 30, 31, 34], "text": [6, 8, 18, 21, 22, 31, 33, 37], "locat": [6, 14, 19, 43], "should": [6, 8, 11, 15, 18, 21, 34, 37, 44], "shown": [6, 8, 19, 33, 34], "posit": [6, 18, 21, 30, 33, 34, 39, 41], "center": [6, 8, 14, 19, 20, 21, 29, 33, 34, 44], "passiv": [6, 23], "sever": [6, 8, 11, 16, 27, 28, 29, 31, 37, 40], "lai": [6, 16], "than": [6, 8, 14, 18, 20, 22, 27, 29, 30, 32, 42, 44], "mai": [6, 8, 11, 12, 13, 18, 20, 21, 22, 27, 28, 29, 30, 34], 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