High-frequency diffraction by a contour with a jump of curvature. Limit ray
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 113-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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High-frequency diffraction by a contour with a jump of curvature is addressed. Outgoing wavefield at the limit ray is studied.
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E. A. Zlobina; A. P. Kiselev. High-frequency diffraction by a contour with a jump of curvature. Limit ray. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 113-123. http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a7/

[1] A. F. Filippov, “Otrazhenie ot granitsy, sostavlennoi iz dug razlichnoi krivizny”, Prikl. matem. mekh., 34:6 (1971), 1076–1084

[2] A. V. Popov, “Obratnoe rasseyanie ot linii razryva krivizny”, Trudy V Vses. simpoz. po difr. i raspr. voln, Nauka, L., 1971, 171–175

[3] L. Kaminetzky, J. B. Keller, “Diffraction coefficients for higher order edges and vertices”, SIAM J. Appl. Math., 22:1 (1972), 109–134 | DOI | MR | Zbl

[4] N. Ya. Kirpichnikova, V. B. Filippov, “Difraktsiya volny shepchuschei galerei vblizi linii razryva krivizny”, Zap. nauchn. semin. POMI, 239, 1997, 95–109 | MR | Zbl

[5] A. S. Kirpichnikova, V. B. Philippov, “Diffraction by a line of curvature jump (a special case)”, IEEE Trans. Antennas Propagation, 49:12 (2001), 1618–1623 | DOI | MR | Zbl

[6] Z. M. Rogoff, A. P. Kiselev, “Diffraction at jump of curvature on an impedance boundary”, Wave Motion, 33:2 (2001), 183–208 | DOI | Zbl

[7] E. A. Zlobina, A. P. Kiselev, “High-frequency diffraction by a contour with a jump of curvature”, Proc. Intern. Conf. Days on Diffraction, 2018, 325–328

[8] V. M. Babich, V. S. Buldyrev, Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, Nauka, M., 1972 | MR

[9] G. D. Malyuzhinets, “Razvitie predstavlenii o yavleniyakh difraktsii (k 130-letiyu so dnya smerti Tomasa Yunga)”, Uspekhi fizicheskikh nauk, 69:2 (1959), 321–334 | DOI | MR

[10] I. G. Kondratev, G. D. Malyuzhinets., “Difraktsiya voln”, Fizicheskaya entsiklopediya, v. 1, Sovetskaya entsiklopediya, 1988, 664–667

[11] V. A. Borovikov, B. E. Kinber, Geometricheskaya teoriya difraktsii, Svyaz, M., 1978

[12] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, v. 2, Nauka, M., 1973

[13] N. V. Tsepelev, “O nekotorykh spetsialnykh resheniyakh uravneniya Gelmgoltsa”, Zap. nauchn. semin. LOMI, 51, 1975, 197–202 | MR | Zbl

[14] F. M. Mors, G. Feshbakh, Metody matematicheskoi fiziki, v. 1, Izdatelstvo inostrannoi literatury, M., 1958

[15] A. L. Brodskaya, A. V. Popov, S. A. Khoziosskii, “Asimptotika volny, otrazhennoi ot konusa v oblasti poluteni”, Trudy VI Vses. simpoz. po difr. i raspr. voln, v. 1, Nauka, Moskva–Erevan, 1973, 227–231

[16] A. Popov, A. Ladyzhensky (Brodskaya), S. Khozioski, “Uniform asymptotics of the wave diffracted by a cone of arbitrary cross section”, Russ. J. Math. Phys., 16:2 (2009), 296–299 | DOI | MR | Zbl

[17] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, v. 1, Gosudarstvennoe izdatelstvo fiziko-matematicheskoi literatury, M., 1959