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Properties of asymptotic coefficients of functions of the continuous spectrum of a light-guide. (Russian) Zbl 0779.35082

The author studies in detail the eigenfunctions of the continuous spectrum of a two-dimensional periodic light-guide. The author’s previous results [Probl. Mat. Anal. 8, 26-35 (1981; Zbl 0484.35061); 9, 18-34 (1984; Zbl 0643.35069); 10, 116-123 (1986; Zbl 0718.35073)] are developed further and refined.

MSC:

35P99 Spectral theory and eigenvalue problems for partial differential equations
78A50 Antennas, waveguides in optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory
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