Abstract
A thin, curved waveguide of variable width with an impedance condition on one of the walls is considered. Local degeneration of normal waves is studied. Coefficients for the transformation of waves as they pass through points of local degeneration are found.
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Literature cited
I. A. Molotkov and S. S. Sardarov, “Surface waves supported by a thin, low-velocity layer,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,34, 93–102 (1973).
G. I. Makarov and V. V. Novikov, “The electromagnetic field in a thin plane waveguide,” in: Problems of the Diffraction and Propagation of Waves [in Russian], No. II, 33–56 (1972).
I. A. Molotkov, “The phenomenon of degeneration of the field in the shadow zone during diffraction on an impedance boundary,” in: Ninth All-Union Acoustics Conference [in Russian], Sect. A (1977), pp. 7–9.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 78, pp. 138–148, 1978.
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Molotkov, I.A., Starkov, A.S. Local degeneration of waves in a thin waveguide. J Math Sci 22, 1090–1098 (1983). https://doi.org/10.1007/BF01305292
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DOI: https://doi.org/10.1007/BF01305292