A four channel photonic crystals filter is designed using 2-D photonic crystals. First, General conditions for obtaining
100% drop efficiency are derived in a three-port channel drop filter. Based on this modeling, a photonic crystal-based
four-channel drop filter is design. The performance of filter is simulation using 2D FDTD (finite difference time domain)
method. The coupling efficiency of every channel is higher than 90% from seeing the simulation results. The frequency
of the four-channel is from 1530nm to 1580nm when the lattice constant is 550nm, and the interval of every channel is
less than 20nm. The interference of every channel is very small. The design method giving a good theory for design and
made multi-channel photonic crystals filter.
Based on the analysis method of the light propagation in isotropic absorption media, the vector propagation constant is introduced and the light propagation in the biaxial absorption crystal is analyzed. The representations of some important physical parameters are derived, which was used to describe the crystal property and light propagation property, such as angle of refraction, refractive index, absorption coefficient. The corresponding results of transparent crystal can be deduced from these representations. When the crystal is absorptive, the reflection and transmission coefficients derived from the vector propagation constant method are in concordance with the results of complex refractive index method. So these two methods are uniform in some aspects, but the method of vector propagation constant is more convenient and available.
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