Comprehensive analysis method of nonlinear optical wave-guiding phenomena by 3-dimensional nonlinear FDTD parallel computation

本研究旨在建立一种全面的数值方法来理解非线性介质和波导器件中复杂的光波传播。本研究项目的特定主题是1;时域有限差分（FDTD）分析半导体微环谐振器中的增强四波混频，并优化谐振器的配置，以提高光波长转换效率，和2; FDTD分析和设计优化的光双稳态波导器件，以降低其开关阈值功率。这些器件是在高速光通信技术中实现高效波长转换和全光集成逻辑电路的潜在候选者，并且最近非常活跃地研究。在1中，通过将半导体材料的色散效应和特定波导配置的色散效应两者都考虑到FDTD分析中，从而使泵浦、信号和转换光波的波长与环形谐振器的谐振相匹配，波长转换器件的性能已经被示出得到改善。在2中，FDTD分析已被应用于优化波导结构，以实现有效的低开关阈值双稳态器件，它已被证明，开关阈值已降低到目前可用的半导体激光器的功率水平。

This study aims to establish a comprehensive numerical method of understanding the complicated optical wave propagation in nonlinear media and waveguide devices. Particular themes of this research project are 1; finite-difference time-domain (FDTD) analysis of enhanced four-wave mixing in a semiconductor micro-ring resonator, and optimization of the resonator configuration in order to improve the optical wavelength conversion efficiency, and 2; FDTD analysis and design optimization of optical bi-stable waveguide devices for the reduction of their switching threshold power. These devices are prospective candidates for the realization of efficient wavelength conversion and all-optical integrated logic circuits in high-speed optical communication technology, and are recently very actively investigated. In 1, by taking into the FDTD analysis both the dispersion effects of semiconductor material and those of particular waveguide configuration, thereby matching the wavelength of the pump, signal, and converted light waves with the resonances of the ring resonator, the performance of the wavelength conversion device has been shown to be improved. In 2, the FDTD analysis has been applied to optimize the waveguide structure in order to realize effective low switching-threshold bi-stable devices; it has been shown that the switching threshold has been reduced to the power level of currently available semiconductor lasers.