Geodesic
Diffraction by a strongly elongated compound spheroid
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 5-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper investigates the high-frequency field in the problem of diffraction by a strongly elongated spheroidal body, part of the surface of which is acoustically soft and the other part is acoustically hard. Numerical results for the case of axial incidence are presented. 
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     author = {I. V. Andronov},
     title = {Diffraction by a strongly elongated compound spheroid},
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I. V. Andronov. Diffraction by a strongly elongated compound spheroid. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_2024_533_a0/

[1] E. A. Zlobina, A. P. Kiselev, “Difraktsiya volny shepchuschei galerei pri skachkoobraznom raspryamlenii granitsy.”, Akust. zhurn., 69:2 (2023), 119–128 | DOI

[2] E. A. Zlobina, “Korotkovolnovaya difraktsiya na konture s negladkoi kriviznoi. Pogransloinyi podkhod”, Zap. nauchn. sem. POMI, 493, 2020, 169–185

[3] E. A. Zlobina, A. P. Kiselev, “Perekhodnaya zona v vysokochastotnoi zadache difraktsii na impedansnoi granitse so skachkom krivizny. Metod Kirkhgofa i metod pogranichnogo sloya”, Radiotekhnika i elektronika, 67 (2022), 130–139 | DOI

[4] G. A. Grinberg, V. A. Fok, “K teorii beregovoi refraktsii”, Issledovaniya po rasprostraneniyu radiovoln, v. II, 1948, 69–96

[5] V. A. Fok, Problemy diffraktsii i rasprostraneniya elektromagnitnykh voln, Sovetskoe radio, M., 1970

[6] V. G. Myshkin, “Difraktsiya skalyarnoi poverkhnostnoi volny, naklonno podayuschei na granitsu mezhdu impedansnymi poluploskostyami”, Akust. zhurn., 12:3 (1966), 351–354

[7] M. A. Lyalinov, “Difraktsiya volny na tsilindricheskoi poverkhnosti s razryvnym impedansom”, Zap. nauchn. sem. POMI, 210, 1994, 164–174

[8] I. V. Andronov, High-frequency diffraction by elongated bodies, Springer series in optical sciences, 243, Springer, Singapore, 2023, xii+188 pp. | DOI

[9] F. Molinet, I. Andronov, “Elliptic cylinder with a strongly elongated cross-section: high frequency techniques and function theoretic methods”, Advances in Mathematical Methods for Electromagnetics, eds. K. Kobayashi, P.D. Smith, The IET, London, 2021

[10] I. V. Komarov, L. I. Ponomarev, S. Yu. Slavyanov, Sferoidalnye i kulonovskie sferoidalnye funktsii, Nauka, M., 1976

[11] I. V. Andronov, “Difraktsiya ploskoi volny, padayuschei pod malym uglom k osi silno vytyanutogo sferoida”, Akust. zhurn., 58:5 (2012), 571–579

[12] M. Abramovits, I. Stigan (red.), Spravochnik po spetsialnym funktsiyam s formulami, grafikami i matematicheskimi tablitsami, Nauka, M., 1979

[13] F. D. Gakhov, Yu. I. Cherskii, Uravneniya tipa svertki, Nauka, M., 1978 | MR

[14] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii. Gipergeometricheskaya funktsiya. Funktsiya Lezhandra, Nauka, M., 1965

[15] I. V. Andronov, “Difraktsiya na silno vytyanutom tele vrascheniya”, Akust. zhurn., 57:2 (2011), 147–152