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Morse critical points of grating free oscillations and waves

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Abstract

Intermodal oscillations and waves produced by the “interaction” of natural fields in open periodic structures were investigated earlier [1] using numerical methods and a rigorous spectral grating theory. This paper is deveoted to the construction of an analytic theory of Morse critical points of complex hypersurfaces and description of the spectral characteristics of grating oscillations and natural waves near Morse critical points.

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Additional information

Institute of Radiophysics and Electronics, Academy of Sciences of Ukraine. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 9, pp. 905–913, September, 1993.

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Shestopalov, V.P., Yatsik, V.V. Morse critical points of grating free oscillations and waves. Radiophys Quantum Electron 36, 623–629 (1993). https://doi.org/10.1007/BF01038206

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  • DOI: https://doi.org/10.1007/BF01038206

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