Abstract
A generalized electromagnetic crystal (EC) Green function (GF) multiple scattering technique (MST) that
permits the simulation of transverse electric and magnetic waves in 2-D EC devices created by replacing crystal
cylinders by nonconforming ones is presented. The EC may be defined on a square or triangular lattice. Both EC and
nonconforming cylinders can be of arbitrary shape and composition. Integral equations in terms of equivalent
currents residing on circular surfaces centered about the nonconforming cylinders are constructed using GFs innate
to the background EC. Contrary to the (conventional) free-space GF MST, the proposed generalized EC GF MST yields
sparse systems of equations that can be solved efficiently by multifrontal methods. A combination of the generalized
EC GF MST with a volume integral-equation- and/or finite-element-based scheme to calculate scattering matrices of
noncircular/inhomogeneous/plasmonic cylinders yields a very powerful tool that permits simulating wave propagation
in a very broad class of EC devices. The generalized EC GF MST is applied to the analysis of a wide variety of
practical EC devices, including a third-order Chebyshev bandpass filter, a pair of power dividers, two channel drop
filters, a large multiplexer–demultiplexer, a set of bended waveguides, and waveguide filters comprising
noncircular or plasmonic cylinders.
© 2007 IEEE
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