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Ray-mode representation of the Green function in a three-dimensional homogeneous waveguide. (English. Russian original) Zbl 0796.76080

J. Sov. Math. 57, No. 3, 3170-3175 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 179, 163-172 (1989).
Summary: The problem of the field of a point source in a three-dimensional homogeneous cylindrical waveguide of arbitrary cross-section is considered. An approach to the construction of combined ray-mode representations of the wave field and the transformation of the rays into the modes and vice versa is proposed.

MSC:

76Q05 Hydro- and aero-acoustics
78A50 Antennas, waveguides in optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory
35Q35 PDEs in connection with fluid mechanics
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