Abstract
The scattering of a stochastic electromagnetic plane-wave pulse on a Gaussian-correlated, quasi-homogeneous random medium within the accuracy of the first-order Born approximation is investigated. Based on the mutual coherence matrix, the analytical formula for the average intensity, degree of temporal coherence and degree of polarization of the scattered field in the far zone is derived. The numerical calculations are performed in order to show the influence of the pulse duration, temporal coherence length, degree of polarization of the incident pulse and the properties of scatterer on the average intensity, degree of temporal coherence and degree of polarization of the scattered field. The validity of the results is also interpreted physically.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Agrawal, G.P.: Nonlinear Fiber Optics. Academic Press, San Diego (2007)
Aulbach, J., Gjonaj, B., Johnson, P.M., Mosk, A.P., Lagendijk, A.: Control of light transmission through opaque scattering media in space and time. Phys. Rev. Lett. 106, 103901-1–103901-4 (2011)
Born, M., Wolf, E.: Principles of Optics. Cambridge University Press, Cambridge (1999)
Bückers, J., Maxein, D., Haertle, D., Buse, K.: Light-induced scattering of femtosecond laser pulses in iron-doped lithium niobate crystals. J. Opt. Soc. Am. B 26, 1018–1022 (2009)
Ding, C., Cai, Y., Korotkova, O., Zhang, Y., Pan, L.: Scattering-induced changes in the temporal coherence length and the pulse duration of a partially coherent plane-wave pulse. Opt. Lett. 36, 517–519 (2011)
Ding, C., Cai, Y., Zhang, Y., Pan, L.: Scattering-induced changes in the degree of polarization of a stochastic electromagnetic plane-wave pulse. J. Opt. Soc. Am. A: 29, 1078–1089 (2012a)
Ding, C., Cai, Y., Zhang, Y., Pan, L.: Scattering of a partially coherent plane-wave pulse on a deterministic sphere. Phys. Lett. A 376, 2697–2702 (2012b)
Ding, C., Pan, L., Lü, B.: Characterization of stochastic spatially and spectrally partially coherent electromagnetic pulsed beams. New J. Phys. 11, 083001-1–083001-14 (2009)
Du, X., Zhao, D.: Scattering of light by Gaussian-correlated quasi-homogeneous anisotropic media. Opt. Lett. 35, 384–386 (2010)
Fischer, D.G., Wolf, E.: Inverse problems with quasi-homogeneous random media. J. Opt. Soc. Am. A: 11, 1128–1135 (1994)
Foley, J.T., Wolf, E.: Frequency shifts of spectral lines generated by scattering from space–time fluctuations. Phys. Rev. A 40, 588–598 (1989)
Gbur, G., Wolf, E.: Determination of density correlation functions from scattering of polychromatic light. Opt. Commun. 168, 39–45 (1999)
Gozani, J.: Effect of the intermittent atmosphere on laser scintillations. Opt. Lett. 24, 436–438 (1999)
Gao, W.: Spectral changes of the light produced by scattering from tissue. Opt. Lett. 35, 862–864 (2010)
Howard, J.: Laser probing of random weakly scattering media. J. Opt. Soc. Am. A: 8, 1955–1963 (1991)
Huang, W., Ponomarenko, S.A., Cada, M., Agrawal, G.P.: Polarization changes of partially coherent pulses propagating in optical fibers. J. Opt. Soc. Am. A: 24, 3063–3068 (2007)
Korotkova, O., Wolf, E.: Spectral degree of coherence of a random three-dimensional electromagnetic field. J. Opt. Soc. Am. A: 21, 2382–2385 (2004)
Lahiri, M., Wolf, E., Fischer, D.G., Shirai, T.: Determination of correlation functions of scattering potentials of stochastic media from scattering experiments. Phys. Rev. Lett. 102, 123901-1–123901-4 (2009)
Lajunen, H., Tervo, J., Turunen, J., Vahimaa, P., Wyrowski, F.: Spectral coherence properties of temporally modulated stationary light sources. Opt. Express 11, 1894–1899 (2003)
Lancis, J., Torres-Company, V., Silvestre, E., Andres, P.: Space-time analogy for partially coherent plane-wave-type pulses. Opt. Lett. 30, 2973–2975 (2005)
Lajunen, H., Vahimaa, P., Tervo, J.: Theory of spatially and spectrally partially coherent pulses. J. Opt. Soc. Am. A 22, 1536–1545 (2005)
Lin, Q., Wang, L., Zhu, S.: Partially coherent light pulse and its propagation. Opt. Commun. 219, 65–70 (2003)
Pääkkönen, P., Turunen, J., Vahimaa, P., Friberg, A.T., Wyrowski, F.: Partially coherent Gaussian pulses. Opt. Commun. 204, 53–58 (2002)
Sahin, S., Gbur, G., Korotkova, O.: Scattering of light from particles with semisoft boundaries. Opt. Lett. 36, 3957–3959 (2011)
Sahin, S., Korotkova, O.: Scattering of scalar light fields from collections of particles. Phys. Rev. A 78, 063815-1–063815-10 (2008)
Setälä, T., Shevchenko, A., Kaivola, M., Friberg, A.T.: Degree of polarization for optical near fields. Phys. Rev. E 66, 016615-1–016615-7 (2002)
Tervo, J., Setälä, T., Friberg, A.T.: Degree of coherence of electromagnetic fields. Opt. Express 11, 1137–1142 (2003)
Tong, Z.S., Korotkova, O.: Theory of weak scattering of stochastic electromagnetic fields from deterministic and random media. Phys. Rev. A 82, 033836-1–033836-7 (2010)
Torres-Company, V., Mínguez-Vega, G., Lancis, J., Friberg, A.T.: Controllable generation of partially coherent light pulses with direct space-to-time pulse shaper. Opt. Lett. 32, 1608–1610 (2007)
Tsang, L., Kong, J.A., Ding, K.H.: Scattering of Electromagnetic Waves: Theories and Applications. Wiley, New York (2000)
van Dijk, T., Fischer, D.G., Visser, T.D., Wolf, E.: Effects of spatial coherence on the angular distribution of radiant intensity generated by scattering on a sphere. Phys. Rev. Lett. 104, 173902-1–173902-4 (2010)
Visser, T.D., Fischer, D.G., Wolf, E.: Scattering of light from quasi-homogeneous sources by quasi-homogeneous media. J. Opt. Soc. Am. A 23, 1631–1638 (2006)
Wang, T., Ji, X., Zhao, D.: Equivalence theorem for the spectral density of light waves on weak scattering. Opt. Lett. 39, 3837–3840 (2014)
Wang, T., Zhao, D.: Determination of pair-structure factor of scattering potential of a collection of particles. Opt. Lett. 35, 318–320 (2010a)
Wang, T., Zhao, D.: Scattering theory of stochastic electromagnetic light waves. Opt. Lett. 35, 2412–2414 (2010b)
Wolf, E., Foley, J.T., Gori, F.: Frequency shifts of spectral lines produced by scattering form spatially random media. J. Opt. Soc. Am. A: 6, 1142–1149 (1989)
Wolf, E., Foley, J.T.: Scattering of electromagnetic fields of any state of coherence from space–time fluctuations. Phys. Rev. A 40, 579–587 (1989)
Wolf, E.: Introduction to the Theory of Coherence and Polarization of Light. Cambridge University Press, Cambridge (2007)
Zhao, D., Korotkova, O., Wolf, E.: Application of correlation-induced spectral changes to inverse scattering. Opt. Lett. 32, 3483–3485 (2007)
Acknowledgments
This work is supported by the National Natural Science Foundation of China under Grant Nos. 61275150, and 61108090, the Education Department of Henan Province Project 13A140797, and 15A140029, the Program for Science and Technology Innovation Talents in Universities of Henan Province (13HASTIT048).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, H., Ding, C., Ma, B. et al. Statistical properties of a stochastic electromagnetic pulse scattering by a quasi-homogeneous random medium. Opt Quant Electron 47, 3365–3380 (2015). https://doi.org/10.1007/s11082-015-0213-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11082-015-0213-3