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Light scattering by densely packed systems of particles: near-field effects

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Light Scattering Reviews 7

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Abstract

The phenomenon of scattering and absorption of electromagnetic waves is actively used in many fields of science and engineering. Among them, there are the remotesensing techniques for studying different objects and testing the quality of materials. They are extensively used in such areas as radio physics and radiolocation (to study radio-wave propagation and the properties of different objects (Ishimaru, 1978; Bass and Fuks, 1979; Tsang and Kong, 2001; Tsang et al., 2000, 2001)), optics of the atmosphere and ocean, in climatology and ecology (McCartney, 1976; Quinby-Hunt et al., 2000; Mishchenko et al., 2006), and biophysics and optics of solutions and colloids (for sorting cells and suspensions and their non-contact investigation (Horan and Wheeles, 1977; Hoekstra and Sloot, 2000)).

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References

  • Akkermans E., P. E. Wolf, R. Maynard, and G. Maret, 1988: Theoretical study of the coherent backscattering of light by disordered media, J. Phys. France, 49, 77–98.

    Article  Google Scholar 

  • Barabanenkov Yu. N., Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, 1991: Enhanced backscattering in optics, Progress in Optics, 29, 65–197.

    Article  Google Scholar 

  • Bass F. G., and I. M. Fuks, 1979: Wave Scattering from Statistically Rough Surfaces, Pergamon Press, Oxford, New York.

    Google Scholar 

  • Belskaya I. N., and V. G. Shevchenko, 2000: Opposition effect of asteroids, Icarus, 147, 94–105.

    Article  Google Scholar 

  • Belskaya I. N., V. G. Shevchenko, Yu. S. Efimov et al., 2002: Opposition polarimetry of the low albedo asteroid 419 Aurella, Proceedings of Asteroids, Comets, Meteors (ACM 2002), 2002, 29 Iuly–2 August, Technical University Berlin, Berlin, Germany, 489–491.

    Google Scholar 

  • Belskaya I. N., V. G. Shevchenko, N. N. Kiselev et al., 2003: Opposition polarimetry and photometry of S- and E-type asteroids, Icarus, 166, 276–284.

    Article  Google Scholar 

  • Belskaya I. N., Yu. G. Shkuratov, Yu. S. Efimov et al., 2005: The F-type asteroids with small inversion angle of polarization, Icarus, 178, 213–221.

    Article  Google Scholar 

  • Borghese F., P. Denti, and R. Saija, 2002: Scattering from Model Nonspherical Particles. Theory and Applications to Environmental Physics, Springer-Verlag, New York.

    Google Scholar 

  • Dlugach J. M., M. I. Mishchenko, L. Liu, and D. W. Mackowski, 2011: Numerically exact computer simulations of light scattering by densely packed random particulate media, J. Quant. Spectrosc. Radiat. Transfer, doi:10.1016/j.jqsrt.2011.02.009

    Google Scholar 

  • Felderhof B. U., R. B. Jones, 1987: Addition theorems for spherical wave solutions of the vector Helmholtz equation, J. Math. Phys., 28, 836–839.

    Article  Google Scholar 

  • Fuller K. A., and D. A. Mackowski, 2000: Electromagnetic scattering by compounded spherical particles, Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (eds. Mishchenko M. I., Hovenier J. W., Travis L. D.), Academic Press, San Diego, 225–272.

    Chapter  Google Scholar 

  • Grandshtein I. S., and I. M. Ryzhik, 1980: Table of Integrals, Series, and Products, Academic Press, New York.

    Google Scholar 

  • Greffet J.-J., and R. Carminati, 1998: Image formation in near-field optics, Progr. Surface Sci., 56, 133–237.

    Article  Google Scholar 

  • Hapke B., 1993: Theory of Reflectance and Emittance Spectroscopy, University Press, Cambridge.

    Book  Google Scholar 

  • Hoekstra A. G., and M. A. Sloot, 2000: Biophysical and biomedical applications of nonspherical scattering, in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (eds. Mishchenko M. I., Hovenier J. W., Travis L.D.), Academic Press, San Diego.

    Google Scholar 

  • Horan P. K., and L. L. Wheeles, 1977: Quantitative single cell analysis and sorting, Science, 198, 149–157.

    Article  Google Scholar 

  • Ishimaru A., 1978: Wave Propagation and Scattering in Random Media, Vols. 1, 2, Academic Press, New York.

    Google Scholar 

  • Mackowski D. W., 1995: Electrostatics analysis of sphere clusters in the Rayleigh limit: application to soot particles, Appl. Opt, 34, 3535–3545.

    Google Scholar 

  • Mackowski, D.W., /ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html

    Google Scholar 

  • Mackowski D. W., and M. I. Mishchenko, 1996: Calculation of the T matrix and the scattering matrix for ensembles of spheres, J. Opt. Soc. Am. A, 13, 2266–2278.

    Article  Google Scholar 

  • Mackowski D. W., and M. I. Mishchenko, 2011a: Direct simulation of multiple scattering by discrete random media illuminated by Gaussian beams, Phys. Rev. A, 83, 013804.

    Article  Google Scholar 

  • Mackowski D. W., and M. I. Mishchenko, 2011b: A multiple sphere T-matrix Fortran code for use on parallel computer clusters. J. Quant. Spectrosc. Radiat. Transfer, doi:10.1016/j.jqsrt.2011.02.019.

    Google Scholar 

  • McCartney Earl J., 1976: Optics of the Atmosphere: Scattering by Molecules and Particles, John Wiley & Sons, New York.

    Google Scholar 

  • Mishchenko M. I. and L. Liu, 2009: Electromagnetic scattering by densely packed particulate ice at radar wavelengths: exact theoretical results and remote-sensing implications, Appl. Opt., 48, 2421–2426.

    Article  Google Scholar 

  • Mishchenko M. I., and D. W. Mackowski, 2011: Coherent backscattering in the cross-polarized channel, Phys. Rev. A, 83, 013829.

    Article  Google Scholar 

  • Mishchenko M. I., J.-M. Luck, and T. Nieuwenhuizen, 2000: Full angular profile of the coherent polarization opposition effect, J. Opt. Soc. Am. A, 17, 888–891.

    Article  Google Scholar 

  • Mishchenko M. I., L. D. Travis, and A. A. Lacis, 2002: Scattering, Absorption, and Emission of Light by Small Particles, Cambridge University Press, Cambridge.

    Google Scholar 

  • Mishchenko M. I., L. D. Travis, and A. A. Lacis, 2006: Múltiple Scattering of Light by Particles. Radiative Transfer and Coherent Backscattering, Cambridge University Press, Cambridge.

    Google Scholar 

  • Mishchenko M. I., L. Liu, D. W. Mackowski et al., 2007: Multiple scattering by random particulate media: exact 3D results, Opt. Express, 15, 2822–2836.

    Article  Google Scholar 

  • Mishchenko M. I., J. M. Dlugach, L. Liu et al., 2009a: Direct solutions of the Maxwell equations explain opposition phenomena observed for high albedo solar system objects, Astrophys. J., 705, L118–L122.

    Article  Google Scholar 

  • Mishchenko M. I., J. M. Dlugach, L. Liu et al., 2009b: Azimuthal asymmetry of the coherent backscattering cone: theoretical results, Phys. Rev. A, 80, 053824.

    Article  Google Scholar 

  • Mishchenko M. I., V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, 2010: Polarimetric Remote Sensing of Solar System Objects, Akademperiodyka, Kyiv.

    Google Scholar 

  • Mishchenko M. I., V. P. Tishkovets, L. D. Travis, B. Cairns, G. M. Dlugach, L. Liu, V. K. Rosenbush, and N. N. Kiselev, 2011: Electromagnetic scattering by a morphologically complex object: Fundamental concepts and common misconceptions, J. Quant. Spectrosc. Radiat. Transfer, 112, 671–692.

    Article  Google Scholar 

  • Muinonen K., 1990: Light scattering by inhomogeneous media: backward enhancement a,nd, reversal of linear polarization, PhD thesis, University of Helsinki.

    Google Scholar 

  • Muinonen K., 2004: Coherent backscattering of light by complex random media of spherical scatterers: numerical solution, Waves Random Media, 14, 365–388.

    Article  Google Scholar 

  • Muinonen K., J. Piironen, Yu. G. Shkuratov et al., 2002: Asteroid photometric and polarimetric phase effects, Asteroids III (eds. Bottke, Jr., W. F., Cellino, A., Paolicchi, P., Binzel, R. P.), University of Arizona Press, Tucson, 123–138.

    Google Scholar 

  • Muinonen K., J. Tyynela, E. Zubko, and G. Videen, 2010: Coherent backscattering in planetary regoliths, in Light Scattering Reviews (ed. Kokhanovsky A.A.), Springer-Praxis, Chichester, Vol. 5, 477–518.

    Google Scholar 

  • Okada Y., and A. A. Kokhanovsky, 2009: Light scattering and absorption by densely packed groups of spherical particles, J. Quant. Spectrosc. Radiat. Transfer, 110, 902–917.

    Article  Google Scholar 

  • Petrova E. V. and V. P. Tishkovets, 2011: Light scattering by aggregates of varying porosity and the opposition phenomena observed in the low-albedo particulate media, J. Quant. Spectrosc. Radiat. Transfer, doi:10.1016/j.jqsrt.2011.04.010.

    Google Scholar 

  • Petrova, E.V., Tishkovets, V.P., and Jockers, K., 2004: Polarization of light scattered by Solar system bodies and the aggregate model of dust particles, Astron. Vestn. 38(4), 309–324 [Sol. Syst. Res. (Engl. Transl.) 38 (4), 354–371].

    Google Scholar 

  • Petrova E. V., V. P. Tishkovets, and K. Jockers, 2007: Modeling of opposition effects with ensembles of clusters: Interplay of various scattering mechanisms, Icarus, 188, 233–245.

    Article  Google Scholar 

  • Quinby-Hunt M. S., P. G. Hull, and A. J. Hunt, 2000: Polarized light scattering in the marine environment, in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (eds. Mishchenko M. I., Hovenier J. W., Travis L. D.), Academic Press, San Diego.

    Google Scholar 

  • Shkuratov Yu. G., 1989: New mechanism of the negative polarization of light scattered by atmosphereless cosmic bodies, Astron Vestnik, 23, 176–180 [in Russian].

    Google Scholar 

  • Shkuratov Yu. G., K. Muinonen, E. Bowell, et al., 1994: A critical review of theoretical models of negatively polarized light scattered by atmosphereless solar system bodies, Earth Moon Planets, 65, 210–246.

    Google Scholar 

  • Shkuratov Yu., A. Ovcharenko, E. Zubko, O. Miloslavskaya, K. Muinonen, J. Piironen, R. Nelson, W. Smythe, V. Rosenbush, and P. Helfenstein, 2002: The opposition effect and negative polarization of structural analogs for planetary regoliths, Icarus, 159, 396–416.

    Article  Google Scholar 

  • Tishkovets V. P., 1998: Backscattering of light by close-packed system of particles, Optics and Spectroscopy, 85, 212–17.

    Google Scholar 

  • Tishkovets V. P., 2008: Light scattering by closely packed clusters: Shielding of particles by each other in the near field, J. Quant. Spectrosc. Radiat. Transfer, 109, 2665–2672.

    Article  Google Scholar 

  • Tishkovets V. P., and K. Jockers, 2006: Multiple scattering of light by densely packed random media of spherical particles: Dense media vector radiative transfer equation, J. Quant. Spectrosc. Radiat. Transfer, 101, 54–72.

    Article  Google Scholar 

  • Tishkovets V. P., and P. V. Litvinov, 1996: Coefficients of light extinction by randomly oriented clusters of spherical particles in the double scattering approximation, Optics and Spectroscopy, 81, 288–291.

    Google Scholar 

  • Tishkovets V. P., and P. V. Litvinov, 1999: Opposition effects in light scattering by regolith-type media, Sol. Syst. Res., 33, 2, 162–168.

    Google Scholar 

  • Tishkovets V. P., and M. I. Mishchenko, 2004: Coherent backscattering of light by a layer of discrete random medium, J. Quant. Spectrosc. Radiat. Transfer, 86, 161–180.

    Article  Google Scholar 

  • Tishkovets V. P., Yu. G. Shkuratov, and P. V. Litvinov, 1999: Comparison of collective effects at scattering by randomly oriented cluster of spherical particles, J. Quant. Spectrosc. Rad. Transfer, 61, 767–773.

    Article  Google Scholar 

  • Tishkovets V. P., E. V. Petrova, and K. Jockers, 2004a: Optical properties of aggregate particles comparable in size to the wavelength, J. Quant. Spectrosc. Radiat. Transfer, 86, 241–265.

    Article  Google Scholar 

  • Tishkovets V. P., P. V. Litvinov, E. V. Petrova, K. Jockers, and M. I. Mishchenko, 2004b: Backscattering effects for discrete random media: theoretical results, in Photopolarimetry in Remote Sensing: NATO Science Series (eds. Videen G., Yatskiv Ya., Mishchenko M. I.), Kluwer Academic Publishers, Dordrech, 221–242.

    Google Scholar 

  • Tsang L., J. A. Kong, and K.-H. Ding, 2000: Scattering of Electromagnetic Waves. The- ories and Applications, John Wiley & Sons, New York.

    Book  Google Scholar 

  • Tsang L., and J. A. Kong, 2001a: Scattering of Electromagnetic Waves. Advanced Topics, Wiley-Interscience, New York.

    Google Scholar 

  • Tsang L., J. A. Kong, K.-H. Ding, and C.O. Ao, 2001: Scattering of Electromagnetic Waves. Numerical Simulations, John Wiley & Sons, New York.

    Book  Google Scholar 

  • Varshalovich D. A., A. N. Moskalev, and V. K. Khersonskii, 1988: Quantum Theory of Angular Momentum, World Scientific, Singapore.

    Google Scholar 

  • van Rossum M. C. W., and Th. M. Nieuwenhuizen, 1999: Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion, Reviews of Modern Physics, 71, No. 1, 313–371.

    Google Scholar 

  • Watson K. M., 1969: Multiple scattering of electromagnetic waves in an underdense plasma, J. Math. Phys., 10, 688–702.

    Article  Google Scholar 

  • Wolf P. E., and G Maret, 1985: Weak localization and coherent backscattering of photons in disordered media, Phys. Rev. Lett., 55, 2696–2699.

    Article  Google Scholar 

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Tishkovets, V.P., Petrova, E.V. (2013). Light scattering by densely packed systems of particles: near-field effects. In: Light Scattering Reviews 7. Springer Praxis Books. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21907-8_1

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