I'm interested in using the first excited state (odd) of a standard
W1 Photonic Crystal Waveguide (PCWG). I'm trying to think of ways
to excite that mode.
Some caveats
- I can't use symmetric excitations (I think) because I'm going to
also include the ground state mode which has opposite (even)
symmetry.
-I will later be inducing nonlinearities. Will a complex valued
phase shift cause problems?
General question: What are the sorts of issues associated with using
nonlinearities and complex fields? Is there a reference to read on
this?
************My proposed method**************
I already did a projected band calculation in both meep and mpb and
found the excited mode to have frequency range just from above 0.28
to 0.3.
Thus far the best method I've found is using two signals, out of
phase by Pi, using a complex amplitude.
(set! sources (list
;CW excitation - excited state
(make source
(src (make continuous-src (frequency fcen_excited)))
(component Ex) ;dipole excitation transverse to propagation
direction y
(center .1 y_launch 0)
(size a 0 0)
(amplitude ampl_excited)
)
(make source
(src (make continuous-src (frequency fcen_excited)))
(component Ex) ;dipole excitation transverse to propagation
direction y
(center -.1 y_launch 0)
(size a 0 0)
(amplitude (* ampl_excited (exp (* 0+1i phi)) ))
)
))
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