Geodesic
Direct and inverse problems of oblique radiosounding of ionosphere with waveguids
Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 22-32.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider layered model of ionosphere for which electron concentration depends on height only, but the condition of monotone increase of the electron density is broken, i.e. in the presence of waveguides – valleys. We investigate a method of oblique radio-sounding for an arbitrary direction with respect to the magnetic field of the Earth. For solving the direct problem of radio-sounding in the presence of waveguides we modify the algorithm early proposed by us for the case when waveguides are absent. A special function (the waveguide measure) is introduced to characterize the electron concentration inside waveguide. In particular, this function permits to determine some caracteristics of waveguide and to reconstruct correctly the electron concentration above waveguide, i.e. it is possible to solve the inverse problem above the waveguide. For finding the function of the waveguide measure we propose new methods of the oblique radio-sounding and obtain equation which connects this function with experimentally measured quantities. Numerical experiments show that waveguides give different signals for different functions of measure. The obtained results discover new perspectives in solving the waveguide problem under radio-sounding of ionosphere. 
@article{MM_2004_16_3_a2,
     author = {A. L. Ageev and T. V. Antonova and E. N. Bessonova and V. V. Vasin},
     title = {Direct and inverse problems of oblique radiosounding of ionosphere with waveguids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {22--32},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_3_a2/}
}
TY  - JOUR
AU  - A. L. Ageev
AU  - T. V. Antonova
AU  - E. N. Bessonova
AU  - V. V. Vasin
TI  - Direct and inverse problems of oblique radiosounding of ionosphere with waveguids
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 22
EP  - 32
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_3_a2/
LA  - ru
ID  - MM_2004_16_3_a2
ER  - 
%0 Journal Article
%A A. L. Ageev
%A T. V. Antonova
%A E. N. Bessonova
%A V. V. Vasin
%T Direct and inverse problems of oblique radiosounding of ionosphere with waveguids
%J Matematičeskoe modelirovanie
%D 2004
%P 22-32
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2004_16_3_a2/
%G ru
%F MM_2004_16_3_a2
A. L. Ageev; T. V. Antonova; E. N. Bessonova; V. V. Vasin. Direct and inverse problems of oblique radiosounding of ionosphere with waveguids. Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 22-32. http://geodesic.mathdoc.fr/item/MM_2004_16_3_a2/

[1] Kelso J. M., Radio ray propagation in ionosphere, McGraw book company, New York, 1964

[2] Dmitriev V. I., Shameeva T. Yu., “O reshenii odnoi obratnoi zadachi vosstanovleniya ionosfery”, Matematicheskoe modelirovanie i reshenie obratnykh zadach matem. fiziki, Izd-vo Mosk. un-ta, M., 1992, 75–81

[3] Dmitriev V. I., Shameeva T. Yu., “Chislennoe reshenie zadachi rascheta traektorii signala v ionosfere”, Vestnik Moskovskogo universiteta, ser. 15, Vychisl. matem. i kibernetika, 1992, no. 3, 42–46

[4] Dmitriev V. I., Shameeva T. Yu., “Chislennoe issledovanie obratnoi zadachi vosstanovleniya parametrov ionosfery”, Matematicheskoe modelirovanie i reshenie obratnykh zadach matem. fiziki, Izd-vo Mosk. un-ta, M., 1994, 30–36

[5] Mitra S. K., Verkhnyaya atmosfera, Izd-vo in. lit., M., 1995, 640 pp.

[6] Budden K. G., Radio waves in the ionosphere, Cambridge University Press, Cambridge, 1961, 360 pp. | MR | Zbl

[7] Markushevich V. M., Levshenko V. T., “Ob opredelenii skorosti po godografu v dispergiruyuschei srede s izvestnym zakonom dispersii”, Metody i algoritmy interpretatsii seismologicheskikh dannykh, Vychisl. seismologiya, 13, Nauka, M., 1980, 84–90

[8] Ageev A. L., Vasin V. V., Bessonova E. N., Markushevich V. M., “Radiozondirovanie ionosfery na dvukh chastotakh. Algoritmicheskii analiz integralnogo uravneniya Fredgolma-Stiltesa”, Teoreticheskie problemy v geofizike, Vychisl. seismologiya, 29, Nauka, M., 1997, 100–118

[9] Bessonova E. N., Markushevich V. M., Savin I. V., Ageev A. L., Vasin V. V., “Obratnaya zadacha radiozondirovaniya ionosfery pri nalichii volnovodov (dolin). Edinstvennost resheniya”, Teoreticheskie problemy v geofizike, Vychisl. seismologiya, 29, Nauka, M., 1997, 81–99

[10] Ageev A. L., Vasin V. V., Bessonova E. N., Kiselev S. G., Markushevich V. M., “Naklonnoe zondirovanie kak metod opredeleniya profilya elektronnoi kontsentratsii v doline”, Geomagnetizm i aeronomiya, 39:3 (1999), 74–78 | MR

[11] Ageev A. L., Antonova T. V., Bessonova E. N., Vasin V. V., “Algoritmy resheniya pryamoi i obratnoi zadachi naklonnogo radiozondirovaniya ionosfery”, Matematicheskoe modelirovanie, 14:11 (2002), 23–32 | Zbl