The method proposed by the authors for solving the Helmholtz equation with homogeneous boundary conditions was verified for an elliptic cross section. The method is generalized to the Helmholtz equation with inhomogeneous boundary conditions. The generalization has been verified for circular and elliptical cross sections.

中文翻译：

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非均匀边界条件下的激光增益

作者提出的求解具有齐次边界条件的亥姆霍兹方程的方法在椭圆截面上得到了验证。该方法推广到具有非齐次边界条件的亥姆霍兹方程。已针对圆形和椭圆形横截面验证了泛化。