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.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 165–171, September, 2020.
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Kozhevnikov, V.A., Privalov, V.E. Laser Gain for Inhomogeneous Boundary Conditions. Russ Phys J 63, 1631–1638 (2021). https://doi.org/10.1007/s11182-021-02215-7
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DOI: https://doi.org/10.1007/s11182-021-02215-7