Reciprocity relations for light wave scattered by a particulate collection

• Autorzy: Jiang Z. , Zhu Z. , Wang T.

Identyfikatory

DOI

10.5277/oa180411

• Języki publikacji: EN

Abstrakty

EN

Two Fourier relations of light waves scattered by a random-distributed particulate medium have been investigated. We find that the scattered field and the particulate collection satisfy two Fourier relations, i.e. the spectral density is directly proportional to a Fourier transform of a convolution of correlation coefficient of each particle and correlation coefficient of distribution function of the whole collection, and the spectral degree of coherence is directly proportional to a Fourier transform of a convolution of strength of the scattering potential of each particle and strength of the distribution function of the whole collection. To illustrate these relations, behaviors of the far-field generated by Gaussian-correlated particles with Gaussian-correlated distributions have been discussed.

Słowa kluczowe

EN

light scattering; particulate collection; spectral density; spectral degree of coherence

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2018
• Tom: Vol. 48, nr 4
• Strony: 661--670
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Jiang Z.

• Department of Physics, Sichuan Normal University, Chengdu 610068, China

autor

Zhu Z.

• Department of Physics, Sichuan Normal University, Chengdu 610068, China

autor

Wang T.

• Department of Physics, Sichuan Normal University, Chengdu 610068, China

Bibliografia

• [1] CARTER W.H., WOLF E., Scattering from quasi-homogeneous media, Optics Communications 67(2), 1988, pp. 85–90.
• [2] YU XIN, YANRU CHEN, QI ZHAO, MUCHUN ZHOU, Beam radiated from quasi-homogeneous uniformly polarized electromagnetic source scattering on quasi-homogeneous media, Optics Communications 278(2), 2007, pp. 247–252.
• [3] YU XIN, YINGJUN HE, YANRU CHEN, JIA LI, Correlation between intensity fluctuations of light scattered from a quasi-homogeneous random media, Optics Letters 35(23), 2010, pp. 4000–4002.
• [4] TAO WANG, XIAOLING JI, DAOMU ZHAO, Equivalence theorem for the spectral density of light waves on weak scattering, Optics Letters 39(13), 2014, pp. 3837–3840.
• [5] JIA LI, LIPING CHANG, Spectral shifts and spectral switches of light generated by scattering of arbitrary coherent waves from a quasi-homogeneous media, Optics Express 23(13), 2015, pp. 16602–16616.
• [6] JIA LI, YALI QIN, SHOULI ZHOU, Fourth-order correlation statistics of an electromagnetic plane wave scattered by a quasi-homogeneous medium, Journal of Optics 13(11), 2011, article ID 115702.
• [7] JIA LI, PINGHUI WU, LIPING CHANG, Condition for invariant spectrum of an electromagnetic wave scattered from an anisotropic random media, Optics Express 23(17), 2015, pp. 22123–22133.
• [8] XINYUE DU, DAOMU ZHAO, Scattering of light by Gaussian-correlated quasi-homogeneous anisotropic media, Optics Letters 35(3), 2010, pp. 384–386.
• [9] HAO WU, XIAONING PAN, ZHANGHANG ZHU, XIAOLING JI, TAO WANG, Reciprocity relations of an electromagnetic light wave on scattering from a quasi-homogeneous anisotropic medium, Optics Express 25(10), 2017, pp. 11297–11305.
• [10] SAHIN S., GBUR G., KOROTKOVA O., Scattering of light from particles with semisoft boundaries, Optics Letters 36(20), 2011, pp. 3957–3959.
• [11] HAIXIA WANG, CHAOLIANG DING, BAOHONG MA, CUNHUA ZHAO, LIUZHAN PAN, The intensity properties of a multi-Gaussian Schell-model pulse scattering from a sphere with semisoft boundaries, Optical and Quantum Electronics 48(6), 2016, article ID 335.
• [12] TAO WANG, XIAOQING LI, XIAOLING JI, DAOMU ZHAO, Spectral changes and spectral switches of light waves on scattering from a semisoft boundary medium, Optics Communications 324, 2014, pp. 152–156.
• [13] TAO WANG, XIAOQING LI, XIAOLING JI, Factors affecting the spectrum of an electromagnetic light wave on scattering from a semisoft boundary medium, Chinese Optics Letters 12(12), 2014, article ID 122901.
• [14] SAHIN S., KOROTKOVA O., Effect of the pair-structure factor of a particulate medium on scalar wave scattering in the first Born approximation, Optics Letters 34(12), 2009, pp. 1762–1764.
• [15] ZHANGRONG MEI, KOROTKOVA O., Random light scattering by collections of ellipsoids, Optics Express 20(28), 2012, pp. 29296–29307.
• [16] SAHIN S., KOROTKOVA O., Scattering of scalar light fields from collections of particles, Physical Review A 78(6), 2008, article ID 063815.
• [17] XINYUE DU, DAOMU ZHAO, Scattering of light by a system of anisotropic particles, Optics Letters 35(10), 2010, pp. 1518–1520.
• [18] DOGARIU A., WOLF E., Spectral changes produced by static scattering on a system of particles, Optics Letters 23(17), 1998, pp. 1340–1342.
• [19] TAO WANG, YI DING, XIAOLING JI, DAOMU ZHAO, The influence of the characteristics of a collection of particles on the scattered spectral density and its applications, Chinese Optics Letters 13(10), 2015, article ID 102901.
• [20] DAOMU ZHAO, TAO WANG, Direct and inverse problems in the theory of light scattering, [In] Progress in Optics, [Ed.] E. Wolf, Chapter 5, Vol. 57, 2012, pp. 261–308.
• [21] JIA LI, Determination of correlation function of scattering potential of random medium by Gauss vortex beam, Optics Communications 308, 2013, pp. 164–168.
• [22] TAO WANG, DAOMU ZHAO, Determination of correlation function of scattering potentials of a random medium from the scattered spectral density, Physics Letters A 375(3), 2011, pp. 780–783.
• [23] GBUR G., WOLF E., Determination of density correlation functions from scattering of polychromatic light, Optics Communications 168(1–4), 1999, pp. 39–45.
• [24] LAHIRI M., WOLF E., FISCHER D.G., SHIRAI T., Determination of correlation functions of scattering potentials of stochastic media from scattering experiments, Physical Review Letters 102(12), 2009, article ID 123901.
• [25] TAO WANG, DAOMU ZHAO, Determination of pair-structure factor of scattering potential of a collection of particles, Optics Letters 35(3), 2010, pp. 318–320.
• [26] BALEINE E., DOGARIU A., Variable-coherence tomography for inverse scattering problems, Journal of the Optical Society of America A 21(10), 2004, pp. 1917–1923.
• [27] FISCHER D.G., WOLF E., Inverse problems with quasi-homogeneous random media, Journal of the Optical Society of America A 11(3), 1994, pp. 1128–1135.
• [28] VISSER T.D., FISCHER D.G., WOLF E., Scattering of light from quasi-homogeneous sources by quasi-homogeneous media, Journal of the Optical Society of America A 23(7), 2006, pp. 1631–1638.
• [29] XINYUE DU, DAOMU ZHAO, Reciprocity relations for scattering from quasi-homogeneous anisotropic media, Optics Communications 284(16–17), 2011, pp. 3808–3810.
• [30] JIMING YU, JIA LI, Reciprocal relations for light from Young’s pinholes scattering upon a quasi-homogeneous medium, Laser Physics Letters 14(5), 2017, article ID 056003.
• [31] TAO WANG, HAO WU, YI DING, XIAOLING JI, DAOMU ZHAO, Changes in the spectral degree of coherence of a light wave on scattering from a particulate medium, Optics Communications 381, 2016, pp. 210–213.
• [32] YI DING, DAOMU ZHAO, Far-zone behaviors of light waves on scattering from a particulate medium with different types of particles, Journal of the Optical Society of America B 34(11), 2017, pp. 2376–2380.
• [33] WOLF E., Introduction to the Theory of Coherence and Polarization of Light, Cambridge University Press, 2007.
• [34] BORN M., WOLF E., Principles of Optics, Cambridge University Press, 1995.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).