Method of analytical regularization in wave-scattering and Eigenvalue problems: foundations and review of solutions

IEEE Antennas and Propagation Magazine

Volumn 41, Issue 3, 1999, Pages 34-39

  Nosich, Alexander I ^a  

^a A USIKOV INSTITUTE OF RADIO PHYSICS AND ELECTRONICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNAS; BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE SCATTERING; GREEN'S FUNCTION; INTEGRAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

COMPUTATIONAL ELECTROMAGNETICS; METHOD OF ANALYTICAL REGULARIZATION; SEMI INVERSION METHOD;

ELECTROMAGNETIC FIELD THEORY;

EID: 0032659793     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/74.775246     Document Type: Review

References (151)

1. G. C. Hsiao, R. E. Kleinman, "Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics," IEEE Transactions on Antennas and Propagation, AP-45, 3, 1997, pp. 316-328.
2. B. T. Nguyen, "On comparison of time-domain scattering schemes," IEEE Antennas and Propagation Magazine, 39, 1, 1997, pp. 99-102.
3. S. D. Senturia, N. Aluru, J. White, "Simulating the behavior of micro-electro-mechanical system devices: computational methods and needs," IEEE Journal of Computational Science and Engineering, 4, 1, 1997, pp. 30-43.
4. F. Arndt et al., "Automated design of waveguide components using hybrid mode-matching/numerical EM building-blocks in optimization-oriented CAD frameworks-state-of-the-art and recent advances," IEEE Transactions on Microwave Theory and Techniques, MTT-45, 5, 2, 1997, pp. 747-760.
5. A. A. Kirilenko et al., "Integrated software package for the synthesis, analysis and optimization of frequency-selective devices," Proc. Int. Symp. Physics and Engineering of MM and Sub-MM Waves (MSMW-98), Kharkov, 1998, pp. 110-114; "Waveguide diplexer and multiplexer design," IEEE Transactions on Microwave Theory and Techniques, MTT-42, 7, 2, 1994, pp. 1393-1396.
6. A. A. Kirilenko et al., "Integrated software package for the synthesis, analysis and optimization of frequency-selective devices," Proc. Int. Symp. Physics and Engineering of MM and Sub-MM Waves (MSMW-98), Kharkov, 1998, pp. 110-114; "Waveguide diplexer and multiplexer design," IEEE Transactions on Microwave Theory and Techniques, MTT-42, 7, 2, 1994, pp. 1393-1396.
7. F. Alessandri, M. Dionigi, R. Sorrentino, "A fullwave CAD tool for waveguide components using a high-speed direct optimizer," IEEE Transactions on Microwave Theory and Techniques, MTT-43, 9, 1995, pp. 2046-2052.
8. D. G. Dudley, "Error minimization and convergence in numerical methods," Electromagnetics, 5, 2-3, 1985, pp. 89-97.
9. G. L. Hower, R. G. Olsen, J. D. Earls, J. B. Schneider, "Inaccuracies in numerical calculation of scattering near natural frequencies of penetrable objects," IEEE Transactions on Antennas and Propagation, AP-41, 7, 1993, pp. 982-986.
10. R. Mittra, C. A. Klein, "Stability and convergence in moment method solutions," in R. Mittra (ed.), Numerical and Asymptotic Methods in Electromagnetics, New York, Springer-Verlag Topics in Applied Physics, 1975, pp. 129-163.
11. N. I. Muskhelishvili, Singular Integral Equations, Groningen, Noordhoff, 1953.
12. D. S. Jones, Methods in Electromagnetic Wave Propagation, Oxford, Clarendon Press, 1994.
13. S. Steinberg, "Meromorphic families of compact operators," Arch. Rat. Mechanics Analysis, 31, 5, 1968, pp. 372-379.
14. T. F. Jablonski, M. J. Sowinski, "Analysis of dielectric guiding structures by the iterative eigenfunction expansion method," IEEE Transactions on Microwave Theory and Techniques, MTT-37, 1, 1989, pp. 63-70.
15. G. I. Popov, "On the method of orthogonal polynomials in contact problems of the theory of elasticity," J. Applied Mathem. Mechanics (Engl. Transl.), 33, 3, 1969, pp. 503-517.
16. S. V. Boriskina, A. I. Nosich, "Radiation and absorption losses of the whispering-gallery-mode dielectric resonator excited by a dielectric waveguide," IEEE Transactions on Microwave Theory and Techniques, MTT-47, 2, 1999, pp. 224-231.
17. N. B. Bliznyuk, A. I. Nosich, "Limitations and validity of the cavity model in disk patch antenna simulations," Proc. Int. Symp. Antennas (JINA-98), Nice, 1998.
18. F. D. Gakhov, Boundary Value Problems, Oxford, Pergamon, 1966; NY, Dover, 1990.
19. I. Y. Shtayerman, Contact Problem of the Theory of Elasticity, Moscow, GITTL, 1949 (in Russian).
20. M. G. Krein, "On a new method of solving the first and second kind integral equations," Doklady Akademii Nauk SSSR, 100, 1955, pp. 413-416 (in Russian).
21. Y. Hayashi, "2-D diffraction of acoustic and electromagnetic waves by an open boundary," Proc. Japan Acad., 42, 2, 1966, pp. 91-94; Y. Hayashi, R. A. Hurd, "On a certain integral equation of Fredholm of the first kind and a related singular integral equation," ibid., 56-A, 1, 1980, pp. 22-27.
22. Y. Hayashi, "2-D diffraction of acoustic and electromagnetic waves by an open boundary," Proc. Japan Acad., 42, 2, 1966, pp. 91-94; Y. Hayashi, R. A. Hurd, "On a certain integral equation of Fredholm of the first kind and a related singular integral equation," ibid., 56-A, 1, 1980, pp. 22-27.
23. C. E. Pearson, "On the finite strip problem," Quat. Appl. Math., 15, 2, 1957, pp. 203-208.
24. A. V. Borzenkov, V. G. Sologub, "Scattering of a plane wave by two strip resonators," Radio Engn. Electronic Physics (Engl. Transl.), 20, 5, 1975, pp. 20-38.
25. Y. Nomura, S. Katsura, "Diffraction of electromagnetic waves by ribbon and slit, J. Phys. Soc. Japan, 12, 1957, pp. 190-200.
26. C. M. Butler, D. R. Wilton, "General analysis of narrow strips and slots," IEEE Transactions on Antennas and Propagation, AP-28, 1, 1980, pp. 42-48.
27. J. L. Tsalamengas, J. G. Fikioris, B. T. Babili, "Direct and efficient solutions of integral equations for scattering from strips and slots," J. Appl. Physics, 66, 7, 1989, pp. 69-80.
28. K. Eswaran, "On the solutions of a class of dual integral equations occurring in diffraction problems," Proc. Royal Soc. London, A-429, 1990, pp. 399-427.
29. A. Matsushima, T. Itakura, "Singular integral equation approach to electromagnetic scattering from a finite periodic array of conducting strips," J. Electromagn. Waves Applicat., 5, 6, 1991, pp. 545-562.
30. E. I. Veliev, V. V. Veremey, A. Matsushima, "Electromagnetic wave diffraction by conducting flat strips," Trans. IEE Japan, 113-A, 3, 1993, pp. 139-146.
31. V. G. Yampolsky, "Diffraction of a plane electromagnetic wave by an array of metallic strips," Radio Engn. Electronic Physics (Engl. Transl.), 8, 4, 1963, pp. 564-572.
32. A. Matsushima, T. Itakura, "Singular integral equation approach to plane wave diffraction by an infinite strip grating at oblique incidence," J. Electromagn. Waves Applicat., 4, 6, 1990, pp. 505-519.
33. J. H. Richmond, "On the edge mode in the theory of TM scattering by a strip or strip grating," IEEE Transactions on Antennas and Propagation, AP-22, 11, 1980, pp. 883-887.
34. T.-K. Wu, "Fast convergent integral equation solution of strip grating on dielectric substrate," IEEE Transactions on Antennas and Propagation, AP-35, 2, 1985, pp. 205-207.
35. S. N. Vorobiov, S. L. Prosvirnin, "Diffraction of electromagnetic waves by a finite-strip structure: the spectral method and given-current approximation," J. Commun. Technol. Electronics (Engl. Transl.), 39, 15, 1994, pp. 139-148.
36. Z. S. Agranovich, V. A. Marchenko, V. P. Shestopalov, "Diffraction of a plane electromagnetic wave from plane metallic lattices," Soviet Physics Technical Physics (Engl. Transl.), 7, 1962, pp. 277-286.
37. L. N. Litvinenko, "Diffraction of electromagnetic waves at multi-element and multi-layer strip gratings," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 10, no 6, 1970, pp. 99-129.
38. G. N. Gestrina, Diffraction of a plane electromagnetic wave from a metallic grating, Radiotekhnika, Kharkov, 10, 1969, pp. 3-14 (in Russian).
39. D. N. Filippovic, "New explicit expressions for the coupling matrix elements related to scattering from a planar periodic single-strip grating," IEEE Transactions on Microwave Theory and Techniques, MTT-43, 7(1), 1995, pp. 1540-1544; ibid., MTT-44, 1, 1996, p. 164.
40. D. N. Filippovic, "New explicit expressions for the coupling matrix elements related to scattering from a planar periodic single-strip grating," IEEE Transactions on Microwave Theory and Techniques, MTT-43, 7(1), 1995, pp. 1540-1544; ibid., MTT-44, 1, 1996, p. 164.
41. V. G. Sologub, O. A. Tretyakov, S. S. Tretyakova, et al., "Excitation of a squirrel-cage open structure by a charge moving in a circle," Soviet Physics Technical Physics (Engl. Transl.), 12, 10, 1967, pp. 1413-1415.
42. V. N. Koshparenok, V. P. Shestopalov, "Diffraction of a plane electromagnetic wave by a circular cylinder with a longitudinal slot," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 11, 3, 1971, pp. 222-243.
43. A. I. Nosich, V. P. Shestopalov, "An electromagnetic analogy of a Helmholtz resonator," Soviet Physics Doklady (Engl. Transl.), 22, 4, 1977, pp. 251-253.
44. R. W. Ziolkowski, "N-series problems and the coupling of electromagnetic waves to apertures: a Riemann-Hilbert approach," SIAM J. Appl. Math., 16, 2, pp. 1985.
45. T. Oguzer, A. I. Nosich, A. Altintas, "Accurate simulation of reflector antennas by complex source-dual series approach," IEEE Transactions on Antennas and Propagation, AP-43, 8, 1995, pp. 793-801.
46. V. A. Marchenko, V. G. Sologub, "Excitation of a ring waveguide by a dipole," Radiotekhnika, Kharkov, 1, 1965, pp. 4-13 (in Russian).
47. V. G. Sologub, Excitation of Certain Types of Open Structures, PhD dissertation, Dept. Mathematics, Kharkov State University, 1967 (in Russian).
48. V. N. Doroshenko, V. G. Sologub, "On the structure of the field of a radial magnetic dipole, scattered by a slotted conical surface," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 32, 7, 1987, pp. 161-163.
49. E. I. Veliev, V. P. Shestopalov, "Excitation of a circular array of cylinders with longitudinal slits," Radiophysics Quantum Electronics (Engl. Transl.), 23, 2, 1980, pp. 144-151.
50. V. N. Koshparenok, P. N. Melezhik, A. Y. Poyedinchuk et al., "Rigorous solution to the 2D problem of diffraction by a finite number of curved screens," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 23, 1, 1983, pp. 140-151.
51. V. V. Veremey, "Superdirective antennas with passive reflectors," IEEE Antennas Propagation Magazine, 37, 2, 1995, pp. 16-27.
52. E. I. Veliev, V. P. Shestopalov, "Diffraction of waves by a grating of circular cylinders with longitudinal slits," USSR J. Comput. Maths Mathem. Physics (Engl. Transl.), 17, 5, 1977, pp. 130-144.
53. A. Matsushima, T. Itakura, "Numerical solution of singular integral equations for electromagnetic scattering by a set of perfectly conducting strips with 2D geometry," Memoirs Faculty Eng. Kumamoto University, 37, 1, 1992, pp. 47-59.
54. Y. A. Tuchkin, "Wave scattering by unclosed cylindrical screen of arbitrary profile with the Dirichlet boundary condition," Soviet Physics Doklady (Engl. Transl.), 30, 1985, pp. 1027-1030; "The Neumann boundary condition," ibid., 32, 1987, pp. 213-216.
55. Y. A. Tuchkin, "Wave scattering by unclosed cylindrical screen of arbitrary profile with the Dirichlet boundary condition," Soviet Physics Doklady (Engl. Transl.), 30, 1985, pp. 1027-1030; "The Neumann boundary condition," ibid., 32, 1987, pp. 213-216.
56. S. I. Lapta, V. G. Sologub, "Dipole field scattering by a short section of a circular waveguide," Radiophysics Quantum Electronics (Engl. Transl.), 16, 10, 1973, pp. 1588-1596.
57. L. A. Pazynin, V. G. Sologub, "Diffraction radiation of a point charge moving along the axis of a segment of a circular waveguide," Radiophysics Quantum Electronics (Engl. Transl.), 27, 10, 1984, pp. 916-922.
58. S. I. Eminov, "The integral equation theory of a thin dipole," J. Commun. Technol. Electronics (Engl. Transl.), 39, 4, 1994, pp. 1-9.
59. G. Miano, L. Verolino, V. G. Vassaro, "A new method of solution of Hallen's problem," J. Math. Physics, 36, 8, 1995, pp. 4087-4099.
60. A. V. Lugovoy, V. G. Sologub, "Scattering of electromagnetic waves by a disk at the interface between two media," Soviet Physics Techn. Physics (Engl. Transl.), 18, 3, 1973, pp. 427-429; see also Proc. URSI-B Symposium on EM Theory, London, 1974, pp. 198-201.
61. A. V. Lugovoy, V. G. Sologub, "Scattering of electromagnetic waves by a disk at the interface between two media," Soviet Physics Techn. Physics (Engl. Transl.), 18, 3, 1973, pp. 427-429; see also Proc. URSI-B Symposium on EM Theory, London, 1974, pp. 198-201.
62. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford, Clarendon, 1967.
63. A. N. Khizhnyak, "Diffraction of a plane wave by a circular disk," Soviet Physics Acoustics (Engl. Transl.), 35, 5, 1989, pp. 539-541.
64. S. S. Vinogradov, "A soft spherical cap in the field of a plane sound wave," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 18, 5, 1978, pp. 244-249.
65. S. S. Vinogradov, "Reflectivity of a spherical shield," Radiophysics Quantum Electronics (Engl. Transl.), 26, 1, 1983, pp. 78-88.
66. R. W. Ziolkowski, W. A. Johnson, "Electromagnetic scattering of an arbitrary plane wave from a spherical shell with a circular aperture," J. Math. Physics, 26, 6, 1987, pp. 1293-1314.
67. S. S. Vinogradov, E. D. Vinogradova, A. I. Nosich, A. Altintac, "Analytical regularization based analysis of a spherical reflector symmetrically illuminated by acoustic beam," J. Acoust. Soc. Am., 1998, submitted.
68. E. D. Vinogradova, "On the theory of resonant spheroidal antenna," Proc. URSI-B Symposium on EM Theory, St. Petersburg, 1995, pp. 501-503.
69. B. Noble, Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, London, Pergamon, 1958; New York, Chelsea, 1988.
70. V. G. Sologub, "Solution of an integral equation of the convolution type with finite limits of integration," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 11, 4, 1971, pp. 33-52.
71. K. Kobayashi, "Wiener-Hopf and modified residue calculus techniques," in E. Yamashita (ed.), Analysis Methods for Electromagnetic Wave Problems, Norwood, Artech House, 1990, pp. 245-301.
72. V. G. Sologub, "Diffraction of a plane wave by an infinite strip grating in the short-wavelength case," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 12, 4, 1972, pp. 159-176.
73. V. G. Sologub, "Short-wave asymptotic behaviour of the solution of the problem of diffraction by a circular disk," USSR J. Comput. Maths. Mathem. Physics (Engl. Transl.), 12, 2, 1972, pp. 135-164.
74. B. I. Kolodii, D. B. Kuryliak, Axisymmetric Problems of Electromagnetic Wave Diffraction by Conical Surfaces, Kiev, Naukova Dumka, 1995 (in Ukrainian).
75. A. H. Serbest, A. Büyükaksoy, G. Uzgören, "Diffraction of high-frequency electromagnetic waves by curved strips," IEEE Transactions on Antennas and Propagation, AP-37, 5, 1989, pp. 592-600.
76. A. A. Kirilenko, "Partial inversion method in the problem of a linear waveguide junction," Soviet Physics Doklady (Engl. Transl.), 24, 8, 1979, pp. 619-621.
77. A. A. Kirilenko, L. A. Rud, V. I. Tkachenko, "Semi-inversion method for mathematically accurate analysis of rectangular waveguide H-plane angular discontinuities," Radio Science, 31, 5, 1996, pp. 1271-1280.
78. E. Bleszynski, M. Bleszynski, T. Jaroszewicz, "Surface-integral equations for electromagnetic scattering from impenetrable and penetrable sheets," IEEE Antennas Propagation Magazine, 36, 6, 1993, pp. 14-25.
79. T. B. A. Senior, J. Volakis, Approximate Boundary Conditions in Electromagnetics, Bath, IEE Press, 1995.
80. A. N. Tikhonov, V. Y. Arsenin, Solutions to Ill-Posed Problems, New York, Wiley, Scripta Series in Math., 1977.
81. E. I. Veliev, K. Kobayashi, T. Ikiz, S. Koshikawa, "Analytical-numerical approach for the solution of the diffraction by a resistive strip," Proc. Int. Symp. Antennas Propagat. (ISAP-96), Volume 1, Chiba, 1996, pp. 17-19.
82. P. M. Zatsepin, S. A. Komarov, "Diffraction of a plane wave by an impedance strip," J. Commun. Technol. Electronics (Engl. Transl.), 41, 10, 1996, pp. 842-846.
83. A. Matsushima, T. L. Zinenko, H. Minami, Y. Okuno, "The singular integral equation analysis of plane wave scattering from multilayered resistive strip gratings," J. Electromagn. Waves Applicat., 12, 10, 1998, pp. 1449-1469.
84. T. L. Zinenko, A. I. Nosich, Y. Okuno, "Plane wave scattering and absorption by resistive-strip and dielectric-strip periodic gratings," IEEE Transactions on Antennas and Propagation, AP-46, 10, 1998, pp. 1498-1505.
85. A. I. Nosich, Y. Okuno, T. Shiraishi, "Scattering and absorption of E- and H-polarized plane waves by a circularly curved open resistive strip," Radio Science, 31, 6, 1996, pp. 1733-1742.
86. A. Büyükaksoy, A. H. Serbest, G. Uzgören, "Secondary diffraction of plane waves by an impedance strip," Radio Science, 24, 1989, pp. 455-464.
87. A. H. Serbest, A. Büyükaksoy, "Some approximate methods related to the diffraction by strips and slits," M. Hashimoto, M. Idemen, O. A. Tretyakov (eds.), Analytical and Numerical Methods in Electromagnetic Wave Theory, Tokyo, Science House, 1993, pp. 229-256.
88. A. I. Nosich, V. B. Yurchenko, A. Altintas, "Numerically exact analysis of a 2D variable-resistivity reflector fed by a complex-point source," IEEE Transactions on Antennas and Propagation, AP-45, 11, 1997, pp. 1592-1601.
89. J. R. Wait, Electromagnetic Radiation from Cylindrical Structures, London-New York, Pergamon, 1959.
90. R. F. Harrington, Time-Harmonic Electromagnetic Fields, New York, McGraw-Hill, 1961.
91. A. M. Lerer, I. V. Donets, "Semi-inversion method for generalized cylindrical microwave structures," J. Commun. Technol. Electronics (Engl. Transl.), 39, 9, 1994, pp. 57-63.
92. A. Lerer, I. Donets, S. Bryzgalo, "The semi-inversion method for cylindrical microwave structures," J. Electromagn. Waves Applicat., 10, 6, 1996, pp. 765-790.
93. E. I. Veliev, V. V. Veremey, "Numerical-analytical approach for the solution to the wave scattering by polygonal cylinders and flat strip structures," in M. Hashimoto, M. Idemen, O. A. Tretyakov (eds.), Analytical and Numerical Methods in Electromagnetic Wave Theory, Tokyo, Science House, 1993, pp. 470-519.
94. V. P. Chumachenko, "Substantiation of one method of solving 2D problems concerning the diffraction of electromagnetic waves by polygon structures," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 34, 15, 1989, pp. 140-143.
95. K. Hongo, "Diffraction by a flanged parallel plate waveguide," Radio Science, 1, 1972, pp. 955-963.
96. S. L. Prosvirnin, "Method of moments in problem of diffraction at a plane flanged waveguide," Radiophysics Quantum Electronics (Engl. Transl.), 28, 4, 1985, pp. 334-338.
97. A. A. Kirilenko, N. P. Yashina, "Rigorous mathematical analysis and electrodynamic characteristics of the diaphragm in a circular waveguide," Radiophysics Quantum Electronics (Engl. Transl.), 23, 11, 1980, pp. 897-903.
98. V. P. Lyapin, M. B. Manuilov, G. P. Sinyavsky, "Quasi-analytical method for analysis of multisection waveguide structures with step discontinuities," Radio Science, 31, 6, 1996, pp. 1761-1772.
99. V. P. Chumachenko, "The design of H-plane waveguide components with a polygonal boundary," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 32, 4, 1987, pp. 1-8; "A modified calculation method for E-plane waveguide circulators with polygonal boundary," ibid., 34, 11, 1989, pp. 61-66.
100. V. P. Chumachenko, "The design of H-plane waveguide components with a polygonal boundary," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 32, 4, 1987, pp. 1-8; "A modified calculation method for E-plane waveguide circulators with polygonal boundary," ibid., 34, 11, 1989, pp. 61-66.
101. V. N. Vavilov, E. I. Veliev, "Electromagnetic wave diffraction by cylindrical bodies with edges," Electromagnetics, 13, 3, 1993, pp. 339-356.
102. J. L. Tsalamengas, J. G. Fikioris, "Scattering of E-polarized waves from conducting strips in the presence of an uniaxial half-space - a singular integral equation approach," IEEE Transactions on Antennas and Propagation, AP-37, 10, 1989, pp. 1265-1276; "Scattering of H-polarized waves," ibid., AP-38, 5, 1990, pp. 598-607.
103. J. L. Tsalamengas, J. G. Fikioris, "Scattering of E-polarized waves from conducting strips in the presence of an uniaxial half-space - a singular integral equation approach," IEEE Transactions on Antennas and Propagation, AP-37, 10, 1989, pp. 1265-1276; "Scattering of H-polarized waves," ibid., AP-38, 5, 1990, pp. 598-607.
104. J. L. Tsalamengas, J. G. Fikioris, "TM scattering by conducting strips right on the planar interface of a three-layered medium," IEEE Transactions on Antennas and Propagation, AP-45, 5, 1993, pp. 542-555; "TE scattering," ibid., AP-45, 12, 1993, pp. 1650-1658.
105. J. L. Tsalamengas, J. G. Fikioris, "TM scattering by conducting strips right on the planar interface of a three-layered medium," IEEE Transactions on Antennas and Propagation, AP-45, 5, 1993, pp. 542-555; "TE scattering," ibid., AP-45, 12, 1993, pp. 1650-1658.
106. A. Matsushima, "Scattering and guided mode excitation by a finite array of conducting strips embedded in a dielectric slab waveguide," in A. H. Serbest, S. R. Cloude (eds.), Direct and Inverse Electromagnetic Scattering, Essex, Addison Wesley, 1996, pp. 161-170.
107. A. I. Nosich, "Green's function-dual series approach in wave scattering from combined resonant scatterers," in M. Hashimoto, M. Idemen, O. A. Tretyakov (eds.), Analytical and Numerical Methods in Electromagnetic Wave Scattering, Tokyo, Science House, 1993, pp. 419-469.
108. A. I. Nosich, A. S. Andrenko, "Scattering and mode conversion by a screen-like inhomogeneity inside a dielectric-slab waveguide," IEEE Transactions on Microwave Theory and Techniques, MTT-42, 2, 1994, pp. 298-307.
109. A. S. Andrenko, A. I. Nosich, "H-scattering of thin-film modes from periodic gratings of finite extent," Microwave Optical Technol. Lett., 5, 7, 1992, pp. 333-337.
110. N. K. Uzunoglu, J. G. Fikioris, "Scattering from an inhomogeneity inside a dielectric-slab waveguide," J. Optical Soc. America, 72, 5, 1982, pp. 628-637.
111. V. I. Kalinichev, P. N. Vadov, "A numerical investigation of the excitation of a dielectric resonator," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 33, 7, 1988, pp. 108-115.
112. V. I. Kalinichev, N. M. Soloviov, "Diffraction of surface waves by two metal cylinders," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 35, 1, 1990, pp. 54-60.
113. A. G. Yarovoy, "Surface potential method in the wave scattering from localized inhomogeneities of a planar dielectric waveguide," IEICE Trans. Electronics Japan, E78-C, 10, 1995, pp. 1440-1446.
114. R. W. Ziolkowski, J. B. Grant, "Scattering from cavity-backed apertures: the generalized dual-series solution of the concentrically-loaded slit cylinder problem," IEEE Transactions on Antennas and Propagation, AP-35, 5, 1987, pp. 504-528.
115. D. Colak, A. I. Nosich, A. Altintas, "RCS study of cylindrical cavity-backed apertures with outer or inner material coating: the case of E-polarization," IEEE Transactions on Antennas and Propagation, AP-41, 11, 1993, pp. 1551-1559; "The case of H-polarization," ibid., AP-43, 5, 1995, pp. 440-447.
116. D. Colak, A. I. Nosich, A. Altintas, "RCS study of cylindrical cavity-backed apertures with outer or inner material coating: the case of E-polarization," IEEE Transactions on Antennas and Propagation, AP-41, 11, 1993, pp. 1551-1559; "The case of H-polarization," ibid., AP-43, 5, 1995, pp. 440-447.
117. S. S. Vinogradov, A. V. Sulima, "Calculation of the absorption cross section of a partially shielded dielectric sphere," Radiophysics Quantum Electronics (Engl. Transl.), 26, 10, 1983, pp. 927-931.
118. S. S. Vinogradov, A. V. Sulima, "Calculation of the Poynting vector flux through a partially screened dielectric sphere," Radiophysics Quantum Electronics (Engl. Transl.), 32, 2, 1989, pp. 160-166.
119. R. W. Ziolkowski, "New electromagnetic resonance effects associated with cavity-backed apertures," Radio Science, 22, 4, 1987, pp. 449-454.
120. R. W. Ziolkowski, D. P. Marsland, L. F. Libelo, G. E. Pisane, "Scattering from an open spherical shell having a circular aperture and enclosing a concentric dielectric sphere," IEEE Transactions on Antennas and Propagation, 36, 7, 1988, pp. 985-999.
121. A. V. Brovenko, P. N. Melezhik, A. E. Poedinchuk et al., "Spectral and diffraction characteristics of open resonators with gyrotropic (plasma) insertions," Radiophysics Quantum Electronics (Engl. Transl.), 39, 9, 1996.
122. V. B. Yurchenko, A. I. Nosich, A. Altintas, "Numerical optimization of cylindrical reflector-in-radome antenna system," IEEE Transactions on Antennas and Propagation, AP-47, 4, 1999.
123. J. L. Tsalamengas, "Direct singular equation methods in scattering from strip-loaded dielectric cylinders," J. Electromagn. Waves Applicat., 10, 10, 1996, pp. 1331-1358.
124. N. K. Uzunoglu, "Scattering from inhomogeneities inside a fiber waveguide," J. Optical Soc. America, 71, 3, 1981, pp. 259-273.
125. N. V. Veremey, A. I. Nosich, "Electrodynamic modeling of open resonators with diffraction gratings," Radiophysics Quantum Electronics (Engl. Transl.), 32, 2, 1989, pp. 166-172.
126. C. N. Vazuras, P. G. Cottis, J. D. Kanellopoulos, "Scattering from a conducting cylinder above a lossy medium of sinusoidal interface," Radio Science, 27, 2, 1992, pp. 883-892.
127. C. M. Butler, "The equivalent radius of a narrow conducting strip," IEEE Transactions on Antennas and Propagation, AP-30, 4, 1982, pp. 755-758.
128. C. M. Butler, "Current induced on a conductive strip which resides on the planar interface between two semi-infinite half-spaces," IEEE Transactions on Antennas and Propagation, AP-32, 3, 1984, pp. 226-231.
129. B. A. Baertlein, J. R. Wait, D. G. Dudley, "Scattering by a conducting strip over a lossy half-space," Radio Science, 24, 4, 1989, pp. 485-497.
130. K. Kobayashi, "Plane wave diffraction by a strip: exact and asymptotic solutions," J. Phys. Soc. Japan, 60, 1991, pp. 1891-1905.
131. L. A. Pazynin, V. G. Sologub, "Radiation of a point charge moving uniformly along the axis of a narrow cylindrical ring," Radiophysics Quantum Electronics (Engl. Transl.), 25, 1, 1982, pp. 64-68.
132. E. I. Veliev, A. I. Nosich, V. P. Shestopalov, "Propagation of electromagnetic waves in a cylindrical waveguide with a longitudinal slit," Radio Engineering Electronic Physics (Engl. Transl.), 22, 1, 1977, pp. 29-35.
133. P. N. Melezhik, A. Y. Poyedinchuk, "Electrodynamic characteristics of 2D open resonators with internal inhomogeneities," Electromagnetics, 13, 3, 1993, pp. 273-287.
134. Y. K. Sirenko, V. P. Shestopalov, V. V. Yatsik, "Anomalous natural regimes, intertype oscillations and waves of open periodic resonators and waveguides," Soviet J. Commun. Technol. Electronics (Engl. Transl.), 36, 6, 1991, pp. 75-83.
135. L. N. Litvinenko, S. L. Prosvirnin, V. P. Shestopalov, "Electrodynamic characteristics of a slotted waveguide," Radio Engn. Electronic Physics (Engl. Transl.), 19, 3, 1974, pp. 41-47.
136. A. I. Kovalenko, "Eigenwaves of microstrip line," Radiophysics Quantum Electronics (Engl. Transl.), 21, 2, 1978, pp. 188-194.
137. A. M. Lerer, A. G. Schuchinsky, "Full-wave analysis of 3D planar structures," IEEE Transactions on Microwave Theory and Techniques, MTT-41, 11, 1993, pp. 2002-209.
138. A. B. Gnilenko, A. B. Yakovlev, I. V. Petrusenko, "Generalized approach to modelling shielded printed-circuit transmission lines," IEE Proc. Microwaves Antennas Propagat., 144, 2, 1997, pp. 103-110.
139. A. I. Nosich, A. Y. Svezhentsev, "Spectral theory of principal and higher order modes in circular cylindrical open slot and strip lines," Proc. URSI-B Symposium on EM Theory, Stockholm, 1989, pp. 536-539.
140. A. I. Nosich, A. Y. Svezhentsev, "Accurate computation of mode characteristics for open-layered circular cylindrical microstrip and slot lines," Microwave Optical Technol. Lett., 4, 7, 1991, pp. 274-277.
141. A. I. Nosich, A. Y. Svezhentsev, "Principal and higher-order modes of microstrip and slot lines on a cylindrical substrate," Electromagnetics, 13, 1, 1993, pp. 85-94.
142. E. M. Karchevskii, "Determination of the propagation constants of dielectric-waveguide eigenmodes by methods of potential theory," J. Computational Maths Mathem. Physics (Engl. Transl.), 38, 1, 1998, pp. 132-136.
143. V. Chumachenko, O. Krapyvny, V. Zasovenko, "Solution method of the eigenmode problem for a generalized slot line by the domain product technique," Microwave Optical Technol. Lett., 16, 4, 1997, pp. 236-241.
144. I. O. Vardiambasis, J. L. Tsalamengas, J. G. Fikioris, "Hybrid wave propagation in generalized Goubau-type structures," IEE Proc. Microwaves Antennas Propagat., 144, 3, 1997, pp. 167-171.
145. Z. S. Agranovich, V. P. Shestopalov, "Propagation of electromagnetic waves in a ring waveguide," Soviet Physics Techn. Physics (Engl. Transl.), 9, 11, 1965, pp. 1504-1511.
146. Z. S. Agranovich, V. P. Shestopalov, "Dispersion equations of a helical waveguide," Radiotekhnika, Kharkov, 1, 1965, pp. 14-29 (in Russian).
147. M. Uehara, K. Yashiro, S. Ohkawa, "A method of solving Riemann-Hilbert problems in nonreciprocal wave propagation," J. Math. Physics, 38, 5, 1997, pp. 2417-2434.
148. V. Rokhlin, "Solution of acoustic scattering problems by means of second kind integral equations," Wave Motion, 5, 1983, pp. 257-272; "Rapid solution of integral equations of scattering theory in 2D," J. Comput. Physics, 86, 2, 1990, pp. 414-439.
149. V. Rokhlin, "Solution of acoustic scattering problems by means of second kind integral equations," Wave Motion, 5, 1983, pp. 257-272; "Rapid solution of integral equations of scattering theory in 2D," J. Comput. Physics, 86, 2, 1990, pp. 414-439.
150. G. Vecchi, L. Matekovits, P. Pirinoli, M. Orefice, "Hybrid spectral-spatial method for the analysis of printed antennas," Radio Science, 31, 5, 1996, pp. 1263-1270.
151. G. Vecchi, L. Matekovits, P. Pirinoli, M. Orefice, "A numerical regularization of the EFIE for three-dimensional planar structures in layered media," Int. J. Microwave Millimeter-Wave CAE, 7, 6, 1997, pp. 410-431.