Derguzov, V. I. Properties of asymptotic coefficients of functions of the continuous spectrum of a light-guide. (Russian) Zbl 0779.35082 Probl. Mat. Anal. 11, 161-176 (1990). 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. Reviewer: Ya.A.Rojtberg (Chernigov) Cited in 1 ReviewCited in 1 Document 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 Keywords:scattering matrix; eigenfunctions; continuous spectrum; two-dimensional periodic light-guide Citations:Zbl 0484.35061; Zbl 0643.35069; Zbl 0718.35073 PDFBibTeX XMLCite \textit{V. I. Derguzov}, Probl. Mat. Anal. 11, 161--176 (1990; Zbl 0779.35082)