复介电常数矩形介质波导的微扰法分析

Perturbation Analysis of Rectangular-Core Waveguides with Complex Dielectric Constants

用微扰理论分析了复介电常数矩形波导 (芯区有吸收的埋入型矩形波导、衬底有吸收的脊形波导、有金属包层的脊形波导 )的特性 ,并以直接求得的复本征值方程的解为标准进行比较 ,结果表明微扰法是相当好的近似方法 ,在弱吸收情况下 ,它给出标准值符合相当好的数值结果 .

Characteristics of the rectangular waveguides with complex dielectric constant(buried rectangular waveguide with weakly absorptive core, rib waveguide with weakly absorptive substrate, metal clad rib waveguide) are analyzed by perturbation method. Direct solution of the complex eigenvalue equations are taken as the standard values and compared with the values obtained by the perturbation method. Numerical results demonstrate that the perturbation method gives numerical results in excellent agreement with those obtained by direct solutions.