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基于介质平面光波导端面无受限衍射场光束的光束传输因子的特点,阐明光波导TE0模模场分布采用高斯分布近似表达的合理性。基于场分布间的匹配效率计算公式,提出采用等效匹配效率方法确定用于高斯近似表达的等效模场半宽度,给出基于光波导芯层半宽度和归一化芯层驻波参量和归一化包层倏逝波参量表达的光波导等效模场半宽度的函数表达式,给出高斯近似分布与光波导本征场分布的匹配效率,阐明采用等效匹配效率方法确定等效模场半宽度的合理性。采用求解方程组的方法,给出基于光波导芯层半宽度和归一化频率表达的光波导等效模场半宽度的拟合函数表达式,并基于拟合引起的误差分析阐明了拟合函数表达式的精确性。
Based on the characteristics of the beam transmission factor of the unconfined diffraction field beam on the end face of the dielectric planar waveguide, the rationality of using the Gaussian distribution to approximate the mode field distribution of the optical waveguide TE0 is demonstrated. Based on the calculation formula of matching efficiency between field distributions, the equivalence matching efficiency method is proposed to determine the half-width of equivalent mode field used for Gaussian approximation. Based on the half width of optical waveguide core and normalized standing wave parameters The normalized half-width of optical waveguide equivalent mode field expressed by the evanescent wave parameter of the cladding, the matching efficiency between the Gaussian approximation distribution and the optical waveguide eigen field distribution is given, and the equivalent matching efficiency method is used to determine the equivalent Moderate half-width rationality. By using the method of solving equations, the fitting function expression of FWHM based on half width of waveguide core and normalized frequency is given, and the fitting error The accuracy of the function expression.