Transmission Characteristics Of Photonic Crystal Using The Transfer Matrix Method (tmm)

Transfer matrix method(TMM) is used to study transmission properties of photonic crystals. The equations of band structure and transmission property in one dimensional photonic crystals are obtained; The second order ,the third order of Mur absorbing boundary and periodic boundary are used respectively to cut the computational region in two dimensional photonic crystals, and transmission properties for different parameters are studied.The programs were developed to calculate band structures and transmission properties of one dimensional photonic crystals; and also a program was developed to calculate transmission properties of two dimensional square lattice photonic crystals. For one dimensional photonic crystals, the band structures and the transmission coefficient versus the frequency were calculated in a perfect, in a metallic medium, in a dispersive material of photonic crystals. Also the transmission coefficient versus the frequency was calculated in defect. For two dimensional square lattice photonic crystals, the transmission coefficient versus the frequency of E-polarized incident electromagnetic waves propagating in photonic-band-gap structures were calculated in perfect, in loss medium, in linear wave-guide, in linear defect, in coupling cavity wave-guide, in dispersive and absorbing materials of photonic crystals. Also the transmission coefficients versus the frequency were studied for dispersive materials with defect in photonic crystals.A model of 2D square lattice photonic crystals was designed and fabricated. The transmission coefficients versus the frequency were tested by HP8510C microwave vector network analysis instrument.The results of numerical simulation are consistent with experimental results in microwave wavelength regions.