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propagation to infinite plane of glass..

时间:03-31 整理:3721RD 点击:
hi, everyone..
these days I studied about photonic crystal with the book named [Photonic Crystal : Molding the Flow of Light] : J. D. Joannopoulos..(maybe 1st. ed)

at page 26 ~ 28, there are the problem about CTS system, infinite plane of glass.

in this system master equation becomes,

d/dz(1/ε(z) * dΦ/dz) = (ky^2/ε(z) - ω^2/c^2)Φ --- eq.1

and then if ω < cky

ω^2/c^2 -> ky^2/ε + (n^2*pi^2)/εa^2 --- eq.2

and there is graph about w/c and ky

i don't understand how eq.2 obtained from eq.1
please someone explain this to me..

and that w-k diagram can be obtained by Matlab?
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