One-dimensional Nonlinear Photonic Crystal Device Design

Photonic crystals (PCs) have been gaining increasing attention in recent years. The devices based on PC are putting in the practical applications. In this dissertation, the tunable filter, the nonlinear device for multiple wavelengths second harmonic generation (SHG), the nonlinear device for single wavelength and multiple wavelengths coupled third harmonic generation (CTHG) is designed.Firstly, the tunable filter based on one-dimensional PC is designed. By introducing a defect into a perfect PC, a defect mode will appear in the photonic band gap. The refractive index of the defect layer can be modified by applying external voltage on this layer, thus the frequency of the defected mode will be tuned. The transmission property of the design structure is investigated by using the transfer matrix method. It is found that the frequency of the defect state changes linearly with the external voltage.Secondly, the defective nonlinear PC for multiple wavelengths SHG is designed by utilizing the simulation annealing method (SA). Under the approximation of small-signal, the general solution of the SHG is derived. When the frequencies of fundamental waves (FW) and SHGs are arranged at the localized states, the conversion efficiency has been giant enhanced. Moreover, the reason for the giant enhancement is analyzed.Finally, the nonlinear PC deceives for single wavelength or multi wavelengths CTHG are designed. The general solution of CTHG is presented. Employing the simulated annealing (SA) method, the wavelengths of FW, SHG, and CTHG, have been designed to lie at the defect states in different photonic band gaps. Giant enhancements of the SHG and CTHG are obtained and the conversion efficiencies of SHG and CTHG are almost identical. The cause of the nonlinear effect with giant enhancement is drawn by analyzing the spatial distributions of the amplitude and phase distributions of the FW and SHG...