Electromagnetic fields of dipole sources in stratified media

V. N. Mazalov   ; S. I. Smagin

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 1, pp. 136-151

Bibliographie

[1] Smagin S. I., “Metod potentsialov v trekhmernoi zadache difraktsii elektromagnitnykh voln”, Zh. vychisl. matem. i matem. fiz., 29:1 (1989), 82–92 | MR

[2] Mazalov V. N., “Difraktsiya elektromagnitnykh voln na trekhmernom vklyuchenii v sloistoi srede”, Integr. ur-niya i kraevye zadachi — teoriya i prikl. sistemy, VTs SO AN SSSR, Novosibirsk, 1990, 72–82 | MR

[3] Smagin S. I., Integralnye uravneniya zadach difraktsii, Dalnauka, Vladivostok, 1995

[4] V. I. Dmitriev (red.), Vychislitelnaya matematika i tekhnika v razvedochnoi geofizike, Nedra, M., 1990

[5] Drobnitsa V. V., Elektromagnitnoe pole ploskoi volny v sredakh s krivolineinymi granitsami ($E$-polyarizatsiya), VTs SO AN SSSR, Novosibirsk, 1972

[6] Tikhonov A. N., Shakhsuvarov D. N., “Elektromagnitnoe pole dipolya v dalnei zone”, Izv. AN SSSR. Ser. geofiz., 23:7 (1959), 946–955

[7] Anderson W. L., “Numerical integration of related Hankel transforms of order 0 and 1 by adaptive digital filtering”, Geophysics, 44 (1979), 1287–1305 | DOI

[8] Anderson W. L., “A hybrid fast Hankel transforms algorithm for electromagnetic modeling”, Geophysics, 54 (1989), 263–266 | DOI

[9] Slipchenko A. A., Filatov V. A., “Reshenie pryamoi zadachi chastotnogo zondirovaniya dlya dvuslozhnoi sredy”, Geologiya i geofiz., 1987, no. 5, 130–133

[10] Levin D., “Divelopment of non-linear transformation for improving convergence of sequins int”, J. Comput. Math., 3:4 (1973) | MR

[11] Longman I. M., “Note a method for computing infinite integrals of oscillatory function”, Proc. Cambridge Phylos. Soc., 52:4 (1956), 764–768 | DOI | MR | Zbl

[12] Selin V. I., “Metod asimptoticheskikh vozmuschenii fundamentalnogo resheniya i vychislenie integralov, soderzhaschikh funktsii Besselya proizvolnogo tselogo poryadka”, Zh. vychisl. matem. i matem. fiz., 40:1 (2000), 91–111 | MR | Zbl

[13] Selin V. I., “Asimptotika elektromagnitnogo polya tochechnogo istochnika v sloistoi srede”, Zh. vychisl. matem. i matem. fiz., 41:6 (2001), 965–990 | MR | Zbl

[14] Gelfand I. S., “Elektromagnitnoe pole gorizontalnoi ramki v sloistoi srede”, Sb. statei po geofiz. metodam razvedki, Gostekhizdat, Sverdlovsk, 1955, 3–17

[15] Mazalov V. N., Smagin S. I., “Elektromagnitnoe pole tochechnogo istochnika v gorizontalno-sloistoi srede”, Soobsch. po prikl. matem.: modeli i ur-niya, VTs AN SSSR, M., 1980, 25–30

[16] Mazalov V. N., “Pole dipolya v sloistoi srede”, Chisl. metody v algebre i analize, DVO AN SSSR, Vladivostok, 1984, 20–25 | MR

[17] Smagin S. I., “Raschet funktsii Grina uravneniya Gelmgoltsa s odnomernym kusochno-postoyannym volnovym chislom”, Uslovno-korrektnye zadachi matem. fiz. v interpretatsii geofiz. nablyudenii. Matem. problemy geofiz., VTs SO AN SSSR, Novosibirsk, 1978, 105–127

[18] Mazalov V. N., Peresvetov V. V., Smagin S. I., Modelirovanie elektromagnitnykh polei v sloistykh sredakh s vklyucheniyami, Dalnauka, Vladivostok, 2000

[19] Smagin S. I., “Ob odnom chislennom algoritme rascheta polei v sloistykh sredakh”, Zh. vychisl. matem. i matem. fiz., 26:8 (1986), 1234–1242 | MR

[20] Taborovskii L. A., Primenenie metoda integralnykh uravnenii v geoelektrike, Nauka, M., 1975

[21] Bursian V. R., Teoriya elektromagnitnykh polei, primenyaemykh v elektrorazvedke, v. 1, Izd-vo Leningr. un-ta, L., 1933; т. 2, 1936

[22] Koshlyakov N. S., Gliner E. B., Smirnov M. M., Uravneniya v chastnykh proizvodnykh matematicheskoi fiziki, Vysshaya shkola, M., 1970 | Zbl

[23] Dmitriev V. I., “Obschii metod rascheta elektromagnitnogo polya v sloistoi srede”, Vychisl. metody i programmirovanie, 10, Izd-vo MGU, M., 1968, 55–65

[24] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1962

[25] Krylov V. I., Priblizhennoe vychislenie integralov, Nauka, M., 1967 | MR

[26] Dmitriev V. N., Akkuratov G. V., Matematicheskoe modelirovanie seismicheskogo chastotnogo zondirovaniya, Izd-vo MGU, M., 1985 | Zbl

[27] Petrovskii A. D., Popov A. A., Rukovodstvo po radiovolnovym metodam skvazhinnoi i shakhtnoi geofiziki, Nedra, M., 1977