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At the interface between two arbitrary dielectrics:
Et1=Et2 (tangential)
Dn1-Dn2=rho (normal); most of the time rho=0 (no free charges)
eps1*En1=eps2*En2, so En is discontinuous
reduced zone diagrams in solid state physics
A good introductory textbook on Bloch modes and Brillouin zones is
"Photonic crystals" by J.D. Joannopoulos, R.D. Meade, J.N. Winn
see h**p://www.amazon.com/exec/obidos/tg/detail/-/0691037442/102-0408423-1181746
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Hi flyhigh,
This book is available in electronic format, it was released in april 2004 and I have it. Since there are people interested in it, I uploaded it (done!) 8) .
I would reccommend:
1. the books by U.S. Inan & A.S.Inan:
"Engineering electromagnetics" (for transmission lines and static fields)
"Electromagnetic waves" (electrodynamics, waveguides)
2. D.K Cheng "Field and wave electromagnetics"
Good luck!
Hi,
for a quick check you can use 2D calculations (with effective index approximation, if appropriate) and TE/TM excitations; you can use FDTD or FEM for this; i built a couple of FEM models in Femlab, if anybody is interested i will upload some here; in 3D with waveguide coupling structures...
well, i believe things are a bit more complicated; a circularly polarized incident wave can be decomposed in 's' and 'p' polarized waves with equal amplitudes; each of these components will undergo a different reflection at a dielectric interface (see Fresnel formulas), so after reflection the...
Mathematically speaking, modes (in optical fiber or waveguide) are eigensolutions of the wave equation, and they have a certain polarization (in the general case they are hybrid modes). In a fiber, you cannot really describe a mode in a 'ray-picture', things are more complicated because you have...
Re: photonic bandgap
I'm working on design and fabrication of photonic crystal slabs.
If anyone here is interseted, I can upload some Femlab models and MPB scripts.
regards,
baluba
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