【摘要】 严格求解了折射率分布可用费米函数描述的平面光波导的波动方程。获得了仅用熟知的特殊函数表示的场解。精确的模式色散方程是收敛很快的模式折射率的无穷函数项级数,仅取零级近似便能得到相当精确的结果。更多还原

【Abstract】 Wave equations of a planar waveguide with Fermi index profile are studied theoretically. Analytical solutions have been obtained in terms of hypergeometric functions. It has been found that the characteristic equations can be expressed as rapidly converging infinite series of functions of the mode refractive index. Rather accurate results can be obtained by only taking the zeroth-order approximation.更多还原