Reconstruction of 2D structure of highly absorbing media

Dmitry V. Losev

Abstract


This paper presents a solution for the tomography of smoothly heterogeneous highly absorbing medium using the amplitude trajectories method. The law of the amplitude trajectory curvature in asymmetric medium is determined, which is similar to Snell's law in geometric optics. The solutions obtained apply for the cases of axisymmetric and asymmetric medium in the approximations of the amplitude trajectory straightness and its slight curvature due to the medium's heterogeneities.  In the process of solving this problem, a new transform of Abel type has been discovered.


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References


S. M. Rytov, Yu. A. Kravtsov, V. I. Tatarskii, Principles of Statistical Radiophysics: Wave Propagation Through Random Media. Springer-Verlag, Berlin-Heidelberg, 1989.

V.P. Yakubov, D.V. Losev, “Reconstruction of the internal structure of strongly absorbing media from the data on their extinction property,” Atmospheric and Oceanic Optics, vol. 9, no. 10, pp. 867–870, 1996.

V.P. Yakubov, D.V. Losev, “Passive tomography of the two-dimensional structure of inhomogeneous media,” Atmospheric and Oceanic Optics, vol. 10, no. 2, pp. 110–113, 1997.

E.W. Hansen, “Theory of circular harmonic image reconstruction,” Journal of the Optical Society of America, vol. 71, no. 3, pp. 304–308, 1981.

V.P. Yakubov, D.V. Losev, “The use of incoherent radiation for absorpting media tomography,” Journal of Radio Electronics, no. 9, 2000. Available: http://jre.cplire.ru/win/sep00/3/text.html (In Russian).

V.P. Yakubov, D.V. Losev, A.I. Mal'tsev, "Wave tomography of absorbing media," Journal of Communications Technology and Electronics, vol. 49, no. 1, pp. 54–57, 2004.

A.G. Sveshnikov, A.N. Tikhonov, The Theory of Functions of A Complex Variable. Mir Publishers, Moscow, 1978.


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