Application of the method of prolonged boundary conditions to the solution of the nonstationary problem of diffraction by an axisymmetric screen with variable impedance

H. T. Aleroeva; A. G. Kyurkchan; S. A. Manenkov

Application of the method of prolonged boundary conditions to the solution of the nonstationary problem of diffraction by an axisymmetric screen with variable impedance

H. T. Aleroeva¹, A. G. Kyurkchan², S. A. Manenkov³

research article Pages: 3-10

¹ Post-graduate Student, Department of Probability Theory and Applied Mathematics, Moscow Technical University of Communications and Informatics
² Dr.Sc. (Phys.-Math.), Professor, Department of Probability Theory and Applied Mathematics, Moscow Technical University of Communications and Informatics
³ Ph.D. (Phys.-Math.), Associate Professor, Department of Mathematical Analysis, Moscow Technical University of Communications and Informatics

Keywords: method of prolonged boundary conditions axisymmetric screen variable impedance Fourier transform nonstationary problem of diffraction stationary problem of diffraction

Abstract

The nonstationary problem of diffraction of a point source field by an axisymmetric screen, which surface satisfies the generalized impedance boundary condition, was solved by the method of prolonged boundary conditions. The numerical results for screens of parabolic and spherical shape and for the screen in the form of a thin disk were obtained.

How to cite

Алероева Х.Т., Кюркчан А.Г., Маненков С.А. Применение метода продолженных граничных условий к решению нестационарной задачи дифракции на осесимметричном экране с переменным импедансом // Антенны. 2014. № 8. С. 3–10.

References

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Bogomolov G.D., Kleev A.I. Ispol'zovanie modificirovannogo metoda prodolzhennykh granichnykh uslovij dlya rascheta otkrytykh rezonatorov // RE'. 2011. T. 56. № 10. S. 1187-1193.
Vojtovich N.N., Kacenelenbaum B.Z., Sivov A.N. Obobshchennyj metod sobstvennykh kolebanij v teorii difrakcii. M.: Nauka. 1977.
Kyurkchan A.G., Smirnova N.I. Reshenie zadach difrakcii voln metodom prodolzhennykh granichnykh uslovij // Akust. zhurn. 2007. T. 53. № 4. S. 490-499.
Kyurkchan A.G., Smirnova N.I. Matematicheskoe modelirovanie v teorii difrakcii s ispol'zovaniem apriornoj informacii ob analiticheskikh svojstvakh resheniya. M.: ID - Media Pablisher?. 2014.
Kyurkchan A.G., Smirnova N.I. Reshenie zadach difrakcii e'lektromagnitnykh voln metodom prodolzhennykh granichnykh uslovij // Antenny. 2006. Vyp. 12 (115). S. 3-7.
Aleroeva Kh.T., Kyurkchan A. G., Manenkov S.A. Rasseyanie polya tochechnogo istochnika na osesimmetrichnom e'krane s peremennym impedansom // Akust. zhurn. 2014. T. 60. № 1. S. 13-20.
Kyurkchan A.G., Anyutin A.P. Metod prodolzhennykh granichnykh uslovij i vejvlety // Doklady RAN. 2002. T. 385. № 3. S. 309-313.
Vasil'ev E.V. Vozbuzhdenie tel vrashcheniya. M.: Radio i svyaz'. 1987.
Kyurkchan A.G., Manenkov S.A. E'lektrostaticheskoe priblizhenie v zadache difrakcii ploskoj volny na gruppe soosnykh malykh rasseivatelej // RE'. 2012. T. 57. № 4. S. 389-398.
Boren K., Khafmen D. Pogloshchenie i rasseyanie sveta malymi chasticami. M.: Mir. 1986.

[1] Bakhrakh L.D., Budagyan I.F., Shchuchkin G.G. Modelirovanie kharakteristik izlucheniya v blizhnej i dal'nej zonakh zerkal'nykh antenn pri rabote s sverkhkorotkimi impul'sami // Antenny. 2004. Vyp. 8-9 (87-88). S. 36-41.

[2] Bogomolov G.D., Kleev A.I. Ispol'zovanie modificirovannogo metoda prodolzhennykh granichnykh uslovij dlya rascheta otkrytykh rezonatorov // RE'. 2011. T. 56. № 10. S. 1187-1193.

[3] Vojtovich N.N., Kacenelenbaum B.Z., Sivov A.N. Obobshchennyj metod sobstvennykh kolebanij v teorii difrakcii. M.: Nauka. 1977.

[4] Kyurkchan A.G., Smirnova N.I. Reshenie zadach difrakcii voln metodom prodolzhennykh granichnykh uslovij // Akust. zhurn. 2007. T. 53. № 4. S. 490-499.

[5] Kyurkchan A.G., Smirnova N.I. Matematicheskoe modelirovanie v teorii difrakcii s ispol'zovaniem apriornoj informacii ob analiticheskikh svojstvakh resheniya. M.: ID - Media Pablisher?. 2014.

[6] Kyurkchan A.G., Smirnova N.I. Reshenie zadach difrakcii e'lektromagnitnykh voln metodom prodolzhennykh granichnykh uslovij // Antenny. 2006. Vyp. 12 (115). S. 3-7.

[7] Aleroeva Kh.T., Kyurkchan A. G., Manenkov S.A. Rasseyanie polya tochechnogo istochnika na osesimmetrichnom e'krane s peremennym impedansom // Akust. zhurn. 2014. T. 60. № 1. S. 13-20.

[8] Kyurkchan A.G., Anyutin A.P. Metod prodolzhennykh granichnykh uslovij i vejvlety // Doklady RAN. 2002. T. 385. № 3. S. 309-313.

[9] Vasil'ev E.V. Vozbuzhdenie tel vrashcheniya. M.: Radio i svyaz'. 1987.

[10] Kyurkchan A.G., Manenkov S.A. E'lektrostaticheskoe priblizhenie v zadache difrakcii ploskoj volny na gruppe soosnykh malykh rasseivatelej // RE'. 2012. T. 57. № 4. S. 389-398.

[11] Boren K., Khafmen D. Pogloshchenie i rasseyanie sveta malymi chasticami. M.: Mir. 1986.

Abstract

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