We consider the weak localization and the backscattering halo in media with strongly elongated scattering indicatrices. The earlier theory is generalized to the case of a nonuniform backscattering cross section in the rear hemisphere. Asymptotic formulas for the backscattering intensities are obtained in the low-angle diffusion approximation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. M. Watson, J. Math. Phys., 10, 688 (1969).
Yu. N. Barabanenkov, Radiophys. Quantum Electron., 16, 1, 65 (1973).
L. Tsang and A. Ishimaru, J. Opt. Soc. Am. A, 1, No. 8, 836 (1984).
E. Akkermans, P. E. Wolf, and R. Maynard, Phys. Rev. Lett., 56, No. 14, 1471 (1986)
D. B. Rogozkin, Laser Phys., 5, No. 4, 787 (1995).
V. V. Marinyuk and D. B. Rogozkin, Laser Phys., 19, No. 2, 176 (2009).
V. V. Marinyuk and D. B. Rogozkin, Phys. Rev. E, 83, No. 6, 066604 (2011).
Ya. A. Ilyushin, J. Opt. Soc. Am. A, 29, No. 9, 1986 (2012).
S. M. Prigarin and T. V. Aleshina, Rus. J. Num. Anal. Math. Mod., 30, No. 4, 251 (2015).
A. F. Lewis, M. S. Bell, R. E. Wagner, et al., Laser Phys., 13, No. 2, 207 (2003).
S. D. Campbell, A. K. O’Connell, G. H. Rutherford, and R. Grobe, Opt. Lett., 32, No. 5, 560 (2007).
A. D. Kim and M. Moscoso, Opt. Lett., 29, No. 1, 74 (2004).
K. Phillips, M. Xu, S. Gayen, and R. Alfano, Opt. Express, 13, No. 20, 7954 (2005).
Y. A. Ilyushin and V. P. Budak, J. Opt. Soc. Am. A, 28, No. 2, 76 (2011).
Y. A. Ilyushin and V. P. Budak, J. Opt. Soc. Am. A, 28, No. 7, 1358 (2011).
Ya. A. Ilyushin, J. Quant. Spectrosc. Radiat. Transf., 113, No. 5, 348 (2012).
Ya. A. Ilyushin, J. Quant. Spectrosc. Radiat. Transf., 117, 133 (2013).
M. I. Mishchenko, Phys. Rev. B, 44, 22, 12597 (1991).
Ya. A. Ilyushin, J. Opt. Soc. Am. A, 30, No. 7, 1305 (2013).
D. M. Bravo-Zhivotovskii, L. S. Dolin, A. G. Luchinin, and V. A. Savel’yev, Izv. Akad. Nauk SSSR, Fiz. Atmos. Oceana, 5, 7, 672 (1969).
V. S. Remizovich, D. B. Rogozkin, and M. I. Ryazanov, Fluctuations of Charged Particles’ Paths [in Russian], Énergoatomizdat, Moscow (1988).
L. Eyges, Phys. Rev., 74, 1534 (1948).
A. Brahme, I. Lax, and P. Andreo, Acta Radiol. Oncol. Radiat. Ther. Phys. Biol., 20, No. 2, 147 (1981).
I. A. D. Bruinvis, W. A. F. Mathol, and P. Andreo, Phys. Med. Biol., 34, No. 4, 491 (1989).
D. Arnush, J. Opt. Soc. Am., 62, No. 9, 1109 (1972).
S. Ito, Appl. Opt., 20, No. 15, 2706 (1981).
L. B. Stotts, J. Opt. Soc. Am., 67, No. 6, 815 (1977).
M. D. Alexandrov, V. S. Remizovich, and D. B. Rogozkin, J. Opt. Soc. Am. A, 10, 2602 (1993).
H. C. van de Hulst and G. W. Kattawar, Appl. Opt., 33, 5820 (1994).
A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 2, Academic Press, New York (1978).
D. Deirmendjan, Electromagnetic Scattering on Spherical Polydispersions, Elsevier, New York (1969).
Yu. V. Skorov, H. U. Keller, and A. V. Rodin, Planet. Space Sci., 58, Nos. 14–15, 1802 (2010).
Yu. V. Skorov, H. U. Keller, and A. V. Rodin, Planet. Space Sci., 56, No. 5, 660 (2008).
A. Alù and N. Engheta, Phys. Rev. E, 72, No. 1, 016623 (2005).
M. Haghparast and M. S. Abrishamian, Appl. Phys. A, 103, No. 3, 587 (2011).
Vl. V. Voevodin, S. A. Zhumatiy, S. I. Sobolev, et al., Otkr. Sist., No. 7, 36 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 60, No. 4, pp. 361–370, April 2017.
Rights and permissions
About this article
Cite this article
Ilyushin, Y.A. Backscattering Effects in Media with Strongly Elongated Scattering Indicatrices. Radiophys Quantum El 60, 323–331 (2017). https://doi.org/10.1007/s11141-017-9802-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-017-9802-2