add note about sources

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Jan Petykiewicz 2020-02-08 17:44:13 -08:00
parent 6930147460
commit 26db5e757a

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@ -137,6 +137,23 @@ Note that each value of \\( J \\) contributes to the energy twice (i.e. once per
despite only causing the value of \\( E \\) to change once (same for \\( M \\) and \\( H \\)). despite only causing the value of \\( E \\) to change once (same for \\( M \\) and \\( H \\)).
Sources
=============
It is often useful to excite the simulation with an arbitrary broadband pulse and then
extract the frequency-domain response by performing an on-the-fly Fourier transform
of the time-domain fields.
The Ricker wavelet (normalized second derivative of a Gaussian) is commonly used for the pulse
shape. It can be written
$$ f_r(t) = (1 - \\frac{1}{2} (\\omega (t - \\tau))^2) e^{-(\\frac{\\omega (t - \\tau)}{2})^2} $$
with \\( \\tau > \\frac{2 * \\pi}{\\omega} \\) as a minimum delay to avoid a discontinuity at
t=0 (assuming the source is off for t<0 this gives \\( \\sim 10^{-3} \\) error at t=0).
Boundary conditions Boundary conditions
=================== ===================
# TODO notes about boundaries / PMLs # TODO notes about boundaries / PMLs