Analysis of Photonic Crystal Structures
Pp. 23-48 (26)
Photonic crystals are periodic structures with spatial variation of the dielectric, magnetic and
metallic properties in one, two and three dimensions. For the present we confine this discussion to mixed
dielectric structures. The propagation of electromagnetic waves through these crystals may result in pass and
stop bands, depending on the structure. The wave propagation is governed by Maxwell's Eqs. and these
calculations are usually performed for infinite structures and subsequently modified for finite structures.
There are different approaches to solving the wave propagation problem and these range from the plane
wave expansion method (PWEM) , the transfer matrix method , the finite difference time domain
method (FDTD)  and the finite element method  which are among the most popular. In this chapter
only the plane wave expansion and the finite difference methods are discussed.
Analysis of photonic crystal, plane wave expansion method, finite difference time domain method.
Department of Electrical and Computer Engineering, University of Minnesota, 200 union Street S.E., Minneapolis, MN 55455, USA