Geodesic
Null field method in wave diffraction problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1490-1494 Cet article a éte moissonné depuis la source Math-Net.Ru

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Diffraction by an impermeable scatterer in with a Dirichlet boundary condition is considered. It is shown that the null field equation is equivalent to the original diffraction problem. The general theoretical constructions are illustrated by analyzing the excitation of a sphere by a point source. The evolution of the residual of the null field equation as the scatterer surface is approached by an auxiliary surface is estimated. 
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Yu. A. Eremin; A. G. Sveshnikov; S. P. Skobelev. Null field method in wave diffraction problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1490-1494. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a11/

[1] Waterman P. C., “New formulation of acoustic scattering”, J. Acoust. Soc. Amer., 45 (1969), 1417–1429 | DOI | Zbl

[2] Doicu A., Wriedt T., Eremin Yu., Light scattering by systems of particles. Null-field method with discrete sources – theory and programs, Springer, Berlin, 2006 | Zbl

[3] Hellmers J., Wriedt T., Doicu A., “Light scattering simulation by oblate disc spheres using the null field method with discrete sources located in the complex plane”, J. Modern Optics, 53:3 (2006), 267–282 | DOI | Zbl

[4] Vasilev E. N., Malushkov G. D., Falunin A. A., “Integralnye uravneniya 1-go roda v nekotorykh zadachakh elektrodinamiki”, Zh. tekhn. fiz., 37:3 (1967), 421–430

[5] Vasilev E. N., Vozbuzhdenie tel vrascheniya, Radio i svyaz, M., 1987

[6] Kyurkchan A. G., Smirnova N. I., “O reshenii zadach difraktsii voln metodom nulevogo polya”, Akustich. zhurnal, 55:6 (2009), 691–697

[7] Kyurkchan A. G., Smirnova N. I., “Metody vspomogatelnykh tokov i nulevogoo polya”, Elektromagn. volny i elektronnye sistemy, 14:8 (2009), 4–12

[8] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987 | MR

[9] Sveshnikov A. G., Mogilevskii I. E., Matematicheskie zadachi teorii difraktsii, MGU, M., 2010

[10] Gyunter N. M., Teoriya potentsiala i ee primenenie k osnovnym zadacham matematicheskoi fiziki, Gostekhizdat, M., 1953 | MR

[11] Tikhonov A. N., Samarskii A. A., Metody matematicheskoi fiziki, Izd-vo MGU, M., 2010

[12] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR