Numerical and Experimental Study on Transmission Spectrum of Waveguide with Periodic Structure

Abstract

Numerical analysis of frequency filtering characteristics by cavities of three different lengths situated in Xshaped photonic crystal waveguide with triangular lattice is demonstrated by constrained interpolation profile (CIP) method to solve Maxwell's equations. From fast Fourier transform (FFT) analysis of output signal by changing width of Gaussian window function, the resonant peak frequencies of filtered spectrum by microwave experiment and those by the simulation coincided each other in difference of order of 1%. Especially, relative error of the resonant frequency to the experiment was improved to the half of our previous numerical work, choosing the window function suitably.