Abstract
The method of interference integrals devised by Yu.I. Orlov represents the wave field as a superposition of partial wavelets, each of which satisfies the equation of geometrical optics while the sum describes the caustic field. In the particular case when the momentum is chosen as a parameter of the family of wavelets, Orlov’s method becomes Maslov’s method. This chapter also considers Orlov’s interference integrals in which partial wavelets are caustic fields (Airy asymptotics or more complex expansions).
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References
Yu.I. Orlov: Trudy MEI No. 119 ( Moscow Power Engineering Institue, Moscow 1972 ) p. 82
Yu.I. Orlov, A.V. Demin: Trudy MEI No. 553 ( Moscow Power Engineering Institute, Moscow 1981 ) p. 5
Yu.I. Orlov, A.V. Demin: Trudy MEI No. 497 ( Moscow Power Engineering Institute, Moscow 1980 ) p. 10
V.B. Avdeyev, A.P. Yarygin: Theses 12th All-Union Conf. Radiowave Propagation (Nauka, Moscow 1978 ) Vol. 4, p. 294 (in Russian)
V.N. Mirolyubov, M.V. Tinin: Theses 8th All-Union Conf. Diffraction and Wave Propagation (Acad. Nauk USSR, Moscow 1982 ) Vol. 2, p. 156 (in Russian)
M.V. Tinin: Izv. VUZ Radiofiz. 26, 36 (1983) [English transl.: Radiophys. Quantum Electron. 26, 29 (1983)]
V.B. Avdeyev, A.V. Demin, Yu.A. Kravtsov, M.V. Tinin, A.P. Yarygin: Izv. VUZ Radiofiz. 31, 1279 (1988) [English transl.: Radiophys. Ouantum Electron. 31, 907 (1988)]
Yu.I. Orlov: Izv. VUZ Radiofiz. 17, 1035 (1974) [English transl.: Radiophys. Quantum Electron. 17, 788 (1974)]
L.A. Vainstein, E.S. Birger, N.V. Konyukhova, E.L. Kosarev: Sov. J. Plasma Phys. 26, 362 (1976)
L.A. Vainstein, E.A. Tishchenko: Zh. Tekh. Fiz. 46, 2271 (1976) [English transl.: Sov. Phys. - JTP 21, 1338 (1976)]
L.A. Vainstein, P.Ya Ufimtsev: Radiotekn. Elektron. 25, 625 (1982) [English transl.: Radio Eng. Electron. Phys. 25, 411 (1982)]
J.M.Arnold: RAdio Sci. 17, 1181 81982 )
J.M.Arnold: IEEProc. 133, 165 81986)
G.A. Korn, T.M. Korn: Mathematical Handbook for Scientists and Engineers ( McGraw Hill, New York 1961 )
Yu.A. Kravtsov, Yu.I. Orlov: Geometrical Optics of Inhomogeneous Media, Springer Ser. Wave Phenom., Vol. 6 ( Springer, Berlin, Heidelberg 1990 )
V.B. Avdeyev, N.V. Shilov, A.P. Yarygin: Theses 12th All-Union Conf. on Radiowave Propagation (Nauka, Moscow 1981 ) Vol. 1, p. 302 (in Russian)
V.B. Avdeyev, A.P. Yarygin: Rasseyanie Elektromagnitnykh Voln (scattering of EM waves) (Institute of Radio Engineering, Taganrog 1983 ) Vol. 4, p. 40
L.M. Brekhovskikh: Acoustics of Layered Media I, II, Springer Ser. Wave Phenom., Vols. 6, 10 (Springer, Berlin, Heidelberg 1990, 1992 )
D. Ludwig: Commun. Pure Appl. Math. 20, 103 (1967)
M.V. Tinin: In Issledovaniya po Geomagnetizmu, Aeronomii i Fizike Solntsa (studies in geomagnetism, aeronomy and solar physics) (Nauka, Moscow 1973 ) Vol. 29, p. 157
V.M. Babich, M.M. Popov: Radiophys. Quantum Electron. 32, 1063 (1989)
A.S. Kryukovskii, D.S. Lukin, E.A. Palkin: Kraevye i Uglovye Katastrofy v Zadachakh Difraktsii i Rasprostranenia Voln (the edge and corner catastrophes in problems of waves diffraction and propagation) ( Kazanskii Aviatsionnyi Institut, Kazan, 1988 )
A.S. Kryukovskii, D.S. Lukin, E.A. Palkin: Izv. VUZ - Radiofiz. 29, 79 (1986)
A.S. Kryukovskii, D.S. Lukin, E.A. Palkin:In Trudy X Shkoly — Seminara po Difraktsii i Rasprosstraneniyu Voln (proceedings of X school-seminar on waves diffraction and propagation), Moscow, Feb. 2–15, 1993 ( MFTI, Moscow 1993 ) p. 3.
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Kravtsov, Y.A., Orlov, Y.I. (1999). Method of Interference Integrals. In: Caustics, Catastrophes and Wave Fields. Springer Series on Wave Phenomena, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59887-6_7
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DOI: https://doi.org/10.1007/978-3-642-59887-6_7
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