Abstract
Propagation of an electromagnetic wave in a smooth one-dimensionally inhomogeneous isotropic medium is considered in the second approximation of geometrical optics. The polarization evolution is studied extensively. It is known that in the first (Rytov) approximation of geometrical optics, there is only the rotation of the plane of polarization (with no change in the polarization shape and sign) for rays with torsion. In the case considered, both the shape of polarization ellipse and the sign of polarization change proportionally to the integral of the squared ray curvature even for plane rays. The effect is of nonlocal geometrical nature and can be described in terms of the generalized geometrical phase incursion between two linear polarizations.
Similar content being viewed by others
References
S. M. Rytov, Dokl. Akad. Nauk SSSR 18, 263 (1938).
V. V. Vladimirskii, Dokl. Akad. Nauk SSSR 31, 222 (1941).
Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Nauka, Moscow, 1980).
S. I. Vinitskii, V. L. Debrov, V. M. Dubovik, et al., Usp. Fiz. Nauk 160(6), 1 (1990) [Sov. Phys. Usp. 33, 403 (1990)].
M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
A. Shapere and F. Wilczek, Geometrical Phases in Physics (World Sci., Singapore, 1989).
K. Yu. Bliokh, J. Math. Phys. 43, 5624 (2002).
K. Yu. Bliokh, J. Phys. A: Math. Gen. 36, 1705 (2003).
M. V. Berry, Nature 326, 277 (1987).
J.-T. Hwang and P. Pechukas, J. Chem. Phys. 67, 4640 (1977).
C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
M. V. Berry, Proc. R. Soc. London, Ser. A 414, 31 (1987).
K. Yu. Bliokh, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 9, 45 (2001).
G. M. Zaslavskii, V. P. Meitlis, and N. N. Filonenko, Wave Interaction in Inhomogeneous Media (Nauka, Novosibirsk, 1982).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 124, No. 3, 2003, pp. 529–535.
Original Russian Text Copyright © 2003 by Bliokh, Stepanovskii.
Rights and permissions
About this article
Cite this article
Bliokh, K.Y., Stepanovskii, Y.P. On the change in electromagnetic wave polarization in a smooth one-dimensionally inhomogeneous medium. J. Exp. Theor. Phys. 97, 479–484 (2003). https://doi.org/10.1134/1.1618334
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1618334