Modifying Polygon Descriptors with User-Defined Functions
Instead of using numbers in the polygon descriptors, they can be
represented by the functions F1(z), F2(z), F3(z)... which can be defined by the user.
This makes it possible to alter any or all aspects of the polygons as a function of z.
The functions F1(z), F2(z), F3(z)... should be
uploaded as a text file, and accessed using the syntax #1, #2, #3... respectively.
For example, a tapered fiber can be modeled as:
c 0.0052 0.0052 0 20000 #1 #2 #1 #2 0 0 0 0
where the fiber's x- and y- radii can be varied in any manner as defined by F1(z) and F2(z).
As another extreme example, here is a two-faced polygon represented entirely by external functions:
u #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 ....
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Z-Functions
The functions should be listed as a two-dimensional array of numbers.
For example, four functions F1(z), F2(z), F3(z) and F4(z) can be defined by:
<![CDATA[
1 1.009999833 0.998001999 0.001998001 1.99995
2 1.019998667 0.996007989 0.003992011 1.999800007
3 1.0299955 0.994017964 0.005982036 1.999550034
4 1.039989334 0.992031915 0.007968085 1.999200107
5 1.049979169 0.990049834 0.009950166 1.99875026
6 1.059964006 0.988071713 0.011928287 1.99820054
7 1.069942847 0.986097544 0.013902456 1.997551
8 1.079914694 0.98412732 0.01587268 1.996801706
9 1.089878549 0.982161032 0.017838968 1.995952733
10 1.099833417 0.980198673 0.019801327 1.995004165
11 1.109778301 0.978240235 0.021759765 1.993956098
12 1.119712207 0.97628571 0.02371429 1.992808636
13 1.129634143 0.97433509 0.02566491 1.991561894
14 1.139543115 0.972388367 0.027611633 1.990215996
15 1.149438132 0.970445534 0.029554466 1.988771078
16 1.159318207 0.968506582 0.031493418 1.987227283
17 1.169182349 0.966571505 0.033428495 1.985584767
^ ^ ^ ^ ^
z F1(z) F2(z) F3(z) F4(z)
]]>
The z-values do not have to be identical to the z-grid defined for the simulation. The
values will be linearly interpolated to the simulation grid.
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