Solution of the inverse problems for layered media

Izvestiya - Atmospheric and Ocean Physics

Volumn 31, Issue 4, 1996, Pages 494-502

  Klyatskin, V I ^a   Koshel, K V ^b   Shevtsov, B M ^b  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b INSTITUTE OF BIOLOGY AND SOIL SCIENCE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BACKSCATTER; INHOMOGENEONS; MEDIUM; WAVE;

EID: 0030428681     PISSN: 00014338     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Arsenin, V. Ya., Methods of Mathematical Physics and Special Functions, Nauka, Moscow, 1974.
2. Bruckstein, A. M., B. C. Levy, and T. Kailath, Differential methods in inverse scattering, SIAM J. Appl. Math., 45(2), 312, 1985.
3. Bugrov, A. G., and V. I. Klyatskin, Embedding method for solution of inverse wave problems in layered media, Izv. Vyssh. Uchebn. Radiofiz., 52(3), 321-330, 1989.
4. Corones, J. P., M. E. Davidson, and R. J. Krueger, Direct and inverse scattering in the time domain via invariant embedding equations, J. Acoust. Soc. Am., 74(5), 1535, 1983.
5. Gelfand, I. M., and B. M. Levitan, Reconstruction of the differential equation by its spectral function, Izv. Akad. Nauk SSSR, Ser. Mat., 15(4), 309-360, 1951.
6. Kalitkin, N. N., Numerical Methods, Nauka, Moscow, 1978.
7. Klyatskin, V. I., Embedding Method in the Theory of Wave Propagation, Nauka, Moscow, 1986.
8. Kristensson, G., and R. J. Krueger, Direct and inverse scattering in the time domain for dissipative equations, 1, Scattering operators, J. Math. Phys., 217(6), 1667, 1986.
9. Tikhonov, A. N., and V. Ya. Arsenin, Methods of Solution of Incorrect Problems, Nauka, Moscow, 1974.
10. Yagle, A. E., and B. C. Levy, Application of the Shur algorithm of the inverse problem for a layered acoustic medium, J. Acoust. Soc. Am., 76(1), 301, 1984.
11. Yagle, A. E., and B. C. Levy, A fast algorithm of the inverse problem for a layered acoustic medium probed by a spherical harmonic wave, J. Acoust. Soc. Am., 762, 729, 1985.