References
- Samarskii AA, Tikhonov AN. On excitation of radio waveguides I. Zh Tekh Fiz. 1947;17:1283–1296.
- Samarskii AA, Tikhonov AN. On excitation of radio waveguides II. Zh Tekh Fiz. 1947;17:1431–1440.
- Samarskii AA, Tikhonov AN. The representation of the field in waveguide in the form of the sum of TE and TM modes. Zh Tekh Fiz. 1948;18:971–985.
- Egorov Yu.V. Partially filled rectangular waveguides. Moscow: Sov. Radio; 1967.
- Veselov GI, Raevskii SB. Metal-dielectric waveguides formed by layers. Moscow: Radio i Svyaz; 1988.
- Levin L. Theory of waveguides. London: Newnes-Butterworths; 1975.
- Smirnov Yu.G. Application of the operator pencil method in the eigenvalue problem for partially. Dokl AN SSSR. 1990;312:597–599.
- Smirnov Yu.G. The method of operator pencils in the boundary transmission problems for elliptic system of equations. Diff Equ. 1991;27:140–147.
- Smirnov Yu.G. Mathematical methods for electromagnetic problems. Penza: PSU Press; 2009.
- Shestopalov Y, Smirnov Y. Eigenwaves in waveguides with dielectric inclusions: spectrum. Appl Anal. 2014;93(2):408–427. doi: 10.1080/00036811.2013.778980
- Shestopalov Y, Smirnov Y. Eigenwaves in waveguides with dielectric inclusions: completeness. Appl Anal. 2014;93(9):1824–1845. doi: 10.1080/00036811.2013.850494
- Keldysh MV. On the completeness of the eigenfunctions of some classes of non-selfadjoint linear operators. Dokl AN SSSR. 1951;77:11–14.
- Delitsyn AL. An approach to the completeness of normal waves in a waveguide with magnitodielectric filling. Diff Equ. 2000;36:695–700. doi: 10.1007/BF02754228
- Krasnushkin PE, Moiseev EI. On the excitation of oscillations in layered radiowaveguide. Dokl AN SSSR. 1982;264:1123–1127.
- Zilbergleit AS, Kopilevich YI. Spectral theory of guided waves. London: Institute of Physics Publishing; 1966.
- Smirnov YG, Smolkin EY. Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Diff Equ. 2017;53:1262–1273. doi: 10.1134/S0012266117100032
- Smirnov YG, Smolkin EY. Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section. Dokl Math. 2018;97:86–89. doi: 10.1134/S1064562418010271
- Snyder AW, Love J. Optical waveguide theory. London: Chapman and Hall; 1983.
- Costabel M. Boundary integral operators on Lipschitz domains: elementary results. SIAM J Math Anal V. 1988;19(3):613–626. doi: 10.1137/0519043
- Kato T. Perturbation theory for linear operators. New York (NY): Springer-Verlag; 1980.
- Adams R. Sobolev spaces. New York (NY): Academic Press; 1975.
- Gohberg IC, Krein MG. Introduction to the theory of linear nonselfadjoint operators in Hilbert space. Moscow: Nauka; 1965.
- Radzievskii GV. Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function S(λ) with S(∞)=0. Math Notes Acad Sci USSR. 1977;21(3):218–222.