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Condition for invariant spectrum of an

electromagnetic wave scattered from an

anisotropic random media

Jia Li,

1,3,*

Pinghui Wu

2,3

and Liping Chang

Institute of Fiber Optic Communication & Information Engineering, College of Information Engineering, Zhejiang

University of Technology, Hangzhou 310023, China

State Key Laboratory of Modern Optical Instrumentation, College of Optical Science and Engineering, Zhejiang

University, Hangzhou 310027, China

These authors contributed equally to this work

leejia@zjut.edu.cn

Abstract: Within the accuracy of the first-order Born approximation,

sufficient conditions are derived for the invariance of spectrum of an

electromagnetic wave, which is generated by the scattering of an

electromagnetic plane wave from an anisotropic random media. We show

that the following restrictions on properties of incident fields and the

anisotropic media must be simultaneously satisfied: 1) the elements of the

dielectric susceptibility matrix of the media must obey the scaling law; 2)

the spectral components of the incident field are proportional to each other;

3) the second moments of the elements of the dielectric susceptibility matrix

of the media are inversely proportional to the frequency.

OCIS codes: (260.2110) Electromagnetic optics; (290.5825) Scattering theory.

References and links

1. D. F. V. James, “The Wolf effect and the redshift of quasars,” Pure Appl. Opt. 7(5), 959–970 (1998).

2. M. Dashtdar and M. T. Tavassoly, “Redshift and blueshift in the spectra of lights coherently and diffusely

scattered from random rough interfaces,” J. Opt. Soc. Am. A 26(10), 2134–2138 (2009).

3. W. Gao, “Spectral changes of the light produced by scattering from tissue,” Opt. Lett. 35(6), 862–864 (2010).

4. R. Zhu, S. Sridharan, K. Tangella, A. Balla, and G. Popescu, “Correlation-induced spectral changes in tissues,”

Opt. Lett. 36(21), 4209–4211 (2011).

5. E. Wolf, “Invariance of the spectrum of light on propagation,” Phys. Rev. Lett. 56(13), 1370–1372 (1986).

6. H. Roychowdhury and E. Wolf, “Spectral invariance in fields generated by quasi-homogeneous scaling law

sources,” Opt. Commun. 215(4-6), 199–203 (2003).

7. H. Roychowdhury and E. Wolf, “Invariance of spectrum of light generated by a class of quasi-homogeneous

sources on propagation through turbulence,” Opt. Commun. 241(1-3), 11–15 (2004).

8. J. Pu, O. Korotkova, and E. Wolf, “Invariance and noninvariance of the spectra of stochastic electromagnetic

beams on propogation,” Opt. Lett. 31(14), 2097–2099 (2006).

9. J. Pu, “Invariance of spectrum and polarization of electromagnetic Gaussian Schell-model beams propagating in

free space,” Chin. Opt. Lett. 4, 196–198 (2006).

10. E. Wolf, J. T. Foley, and F. Gori, “Frequency shifts of spectral lines produced by scattering from spatially

random media,” J. Opt. Soc. Am. A 6(8), 1142–1149 (1989).

11. J. T. Foley and E. Wolf, “Frequency shifts of spectral lines generated by scattering from space-time

fluctuations,” Phys. Rev. A 40(2), 588–598 (1989).

12. D. F. V. James, M. P. Savedoff, and E. Wolf, “Shifts of spectral lines caused by scattering from fluctuating

random media,” Phys. J. 359, 67–71 (1990).

13. T. Shirai and T. Asakura, “Spectral changes of light induced by scattering from spatially random media under the

Rytov approximation,” J. Opt. Soc. Am. A 12(6), 1354–1363 (1995).

14. Y. Xin, Y. Chen, Q. Zhao, M. Zhou, and X. Yuan, “Changes of spectrum of light scattering on quasi-

homogeneous random media,” Proc. SPIE 6786, 67864S (2007).

15. X. Du and D. Zhao, “Spectral shifts produced by scattering from rotational quasi-homogeneous anisotropic

media,” Opt. Lett. 36(24), 4749–4751 (2011).

16. A. Dogariu and E. Wolf, “Spectral changes produced by static scattering on a system of particles,” Opt. Lett.

23(17), 1340–1342 (1998).

17. X. Du and D. Zhao, “Frequency shifts of spectral lines induced by scattering from a rotational anisotropic

particle,” Opt. Commun. 285(6), 934–936 (2012).

#243690

Received 23 Jun 2015; revised 3 Aug 2015; accepted 9 Aug 2015; published 13 Aug 2015

24 Aug 2015 | Vol. 23, No. 17 | DOI:10.1364/OE.23.022123 | OPTICS EXPRESS 22123

18. M. Lahiri and E. Wolf, “Spectral changes of stochastic beams scattered on a deterministic medium,” Opt. Lett.

37(13), 2517–2519 (2012).

19. E. Wolf, “Far-zone spectral isotropy in weak scattering on spatially random media,” J. Opt. Soc. Am. A 14(10),

2820–2823 (1997).

20. T. Wang and D. Zhao, “Condition for far-zone spectral isotropy of an electromagnetic light wave on weak

scattering,” Opt. Lett. 36(3), 328–330 (2011).

21. J. Chen, F. Chen, Y. Chen, Y. Xin, Y. Wang, Q. Zhao, and M. Zhou, “Coherence properties of the scattered field

generated by anisotropic quasi-homogeneous media,” Opt. Commun. 285(19), 3955–3960 (2012).

22. L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Theories and Applications (Wiley

Press, 2000).

23. T. Wang and D. Zhao, “Scattering theory of stochastic electromagnetic light waves,” Opt. Lett. 35(14), 2412–

2414 (2010).

24. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

25. L. Mandel, “Interference and the Alford and Gold effect,” J. Opt. Soc. Am. 52(12), 1335–1340 (1962).

26. E. Wolf and D. F. V. James, “Correlation-induced spectral changes,” Rep. Prog. Phys. 59(6), 771–818 (1996).

27. T. Hassinen, J. Tervo, and A. T. Friberg, “Cross-spectral purity of electromagnetic fields,” Opt. Lett. 34(24),

3866–3868 (2009).

28. J. Chen, R. Lu, F. Chen, and J. Li, “Cross-spectrally pure light, cross-spectrally pure fields and statistical

similarity in electromagnetic fields,” J. Mod. Opt. 61(14), 1164–1173 (2014).

29. M. Lahiri and E. Wolf, “Effect of scattering on cross-spectral purity of light,” Opt. Commun. 330, 165–168

(2014).

1. Introduction

Spectral properties of a statistically stationary optical field, which attracted substantial

research interests over the past few decades, had shown potential prospects in a variety of

scientific areas, e.g. the astronomical science, target recognization and biomedical imaging.

Among these investigations, the spectrum of light provided flexible approaches to determine

statistical properties of an unknown object [1–4]. The scaling law proposed by Wolf and his

collaborators indicated that spectrum of light can remain unchanged as it propagates in free

space [5]. Since then, intensive studies had concerned whether it is feasible to remain

invariant spectrum of a light wave when it propagates in or scatters from other types of media.

As a representative work, the scaling law was further extended to another case, where the

propagation of a planar, secondary and quasi-homogeneous (QH) source beam in the far field

was considered [6, 7]. Also, a scaling law was obtained for a planar, secondary and stochastic

electromagnetic beam scattering upon an anisotropic random media [8, 9].

In addition to above studies, attentions were also paid to spectral properties of light

scattered from the spatially random and deterministic media, respectively. It was shown that

light scattered from a random media may exhibit spectral shifts toward shorter or longer

wavelengths, which can be modulated by changing the scattering angle [10–13]. Furthermore,

spectral shifts of light generated by the scattering of plane waves from a QH scatterer,

particulate media and spatially deterministic media were investigated in the literature [14–18],

respectively. It was reported that scattered field may display either the blue-shifted or red-

shifted spectrum, which is induced by correlation properties of the media. Results also

indicated that isotropic profiles of spectrum of a far-zone scattered field can be generated

provided the second moment of the dielectric susceptibility of the media suffices the scaling

law [19]. Such law was further extended to the case where the scattering of an

electromagnetic plane wave was concerned [20].

Although the scaling laws for light propagating in or scattering from diverse isotropic

media were extensively studied in above literature, to date, however, no literature has

addressed the conditions which enable the unchanged spectrum of light as it scatters from an

anisotropic media. We aim to derive a scaling law for guaranteeing the invariant spectrum of

an electromagnetic plane wave as it scatters upon the media. We assume that the scattering of

electromagnetic plane waves from the media is so weak, thus the scattered field can described

by using the first-order Born approximation. We particularly explore whether the spectrum of

scattered field could be identical to that of incident plane waves, if properties of incident

fields and the media suffice certain conditions.

#243690

Received 23 Jun 2015; revised 3 Aug 2015; accepted 9 Aug 2015; published 13 Aug 2015

24 Aug 2015 | Vol. 23, No. 17 | DOI:10.1364/OE.23.022123 | OPTICS EXPRESS 22124

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