Frequency analysis of wavelength demultiplexers and optical filters with finite 2-D photonic crystals

A wavelength demultiplexer made of 2-D photonic crystal capable of simultaneously separating many channels from WDM light is analyzed in order to study the properties and clarify the design parameters. Numerical analyses are carried out for the optical filter structure and the demultiplexer structure which consists of several filters and waveguides carved in the crystal. The results of this paper show the considerations regarding the frequency tuning, the device size, the bandwidth and integration of filters. Further more, for a photonic crystal filter, a method for realizing a flat-top pass-band generally required from the dense-WDM systems is presented and its property is shown. The calculation method is the scattering matrix method which is proper to the analysis of the frequency domain in a 2-D photonic crystal with finite size and with some defects.