Electromagnetic scattering by nonspherical particles: A tutorial review

This tutorial review is intended to provide an accessible and self-contained introduction to the discipline of electromagnetic scattering by nonspherical particles and discuss the most general ways in which the scattering and absorption properties of particles and small random particle groups are affected by particle morphology. The main focus is on how nonsphericity influences our way of describing and quantifying electromagnetic scattering by particles and how it is likely to affect, both qualitatively and quantitatively, the principal theoretical descriptors of scattering and the relevant optical observables. Several quantitative examples included in this review are the result of a controlled laboratory measurement or a numerically exact theoretical computation and are intended to illustrate the main theses and conclusions.

[1]  Rosalba Saija,et al.  Scattering from Model Nonspherical Particles: Theory and Applications to Environmental Physics , 2003 .

[2]  M. Mishchenko Electromagnetic scattering by a fixed finite object embedded in an absorbing medium. , 2007, Optics express.

[3]  Christian Joachim,et al.  The physics of the near-field , 2000 .

[4]  V. L. Kuzmin,et al.  REVIEWS OF TOPICAL PROBLEMS: Coherent phenomena in light scattering from disordered systems , 1996 .

[5]  M. Jonasz,et al.  Chapter 4 – Measurements of light scattering by particles in water , 2007 .

[6]  Alexander A. Kokhanovsky,et al.  Light Scattering Reviews 2 , 2007 .

[7]  W. Malm,et al.  Effects of mixing on extinction by carbonaceous particles , 1999 .

[8]  D. K. Lynch,et al.  Color and light in nature , 1995 .

[9]  P. Barber,et al.  Optical effects associated with small particles , 1988 .

[10]  Hester Volten,et al.  Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm , 2001 .

[11]  Nikolai G. Khlebtsov,et al.  Spectral Extinction of Colloidal Gold and Its Biospecific Conjugates , 1996 .

[12]  Larry D. Travis,et al.  Light scattering by nonspherical particles : theory, measurements, and applications , 1998 .

[13]  K. Liou,et al.  Single-scattering properties of complex ice crystals in terrestrial atmosphere , 1998 .

[14]  M. Pinar Mengüç,et al.  Compendium of scattering matrix element profiles for soot agglomerates , 2003 .

[15]  V. I. Rozenberg,et al.  Scattering by non-spherical particles , 1994 .

[16]  Thomas Wriedt,et al.  Electromagnetic and light scattering by nonspherical particles 2003 , 2004 .

[17]  J. Hovenier,et al.  Depolarization of light backscattered by randomly oriented nonspherical particles. , 1995, Optics letters.

[18]  Bruce T. Draine,et al.  The Discrete Dipole Approximation for Light Scattering by Irregular Targets , 2000 .

[19]  A. Macke,et al.  Polarized light scattering by inhomogeneous hexagonal monocrystals: Validation with ADEOS-POLDER measurements , 2001 .

[20]  P. Sheng,et al.  Introduction to Wave Scattering, Localization and Mesoscopic Phenomena. Second edition , 1995 .

[21]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[22]  D. Huffman,et al.  Experimental determinations of Mueller scattering matrices for nonspherical particles. , 1978, Applied optics.

[23]  Analysis of time-dependent scattering spectra for studying processes associated with microdroplets. , 2001, Applied optics.

[24]  M. Mishchenko,et al.  On definition and measurement of extinction cross section , 2009 .

[25]  Michael I. Mishchenko,et al.  Scattering and radiative properties of complex soot and soot-containing aggregate particles , 2006 .

[26]  J. Hansen,et al.  Light scattering in planetary atmospheres , 1974 .

[27]  M. Mishchenko,et al.  Gustav Mie and the Evolving Discipline of Electromagnetic Scattering by Particles , 2008 .

[28]  Michael I. Mishchenko,et al.  Multiple scattering, radiative transfer, and weak localization in discrete random media: Unified microphysical approach , 2008 .

[29]  C. Linke,et al.  A review of optical measurements at the aerosol and cloud chamber AIDA , 2009 .

[30]  H. Horvath Light scattering: Mie and More commemorating 100 years of Mie's 1908 publication , 2009 .

[31]  R. West,et al.  Optical properties of aggregate particles whose outer diameter is comparable to the wavelength. , 1991, Applied optics.

[32]  C. Bohren,et al.  An introduction to atmospheric radiation , 1981 .

[33]  Coherent backscattering of light by a layer of discrete random medium , 2004 .

[34]  W. Wiscombe,et al.  Scattering from nonspherical Chebyshev particles. 3: Variability in angular scattering patterns. , 1989, Applied optics.

[35]  Eric Akkermans,et al.  Mesoscopic Physics of Electrons and Photons: Dephasing , 2007 .

[36]  J. Bladel,et al.  Electromagnetic Fields , 1985 .

[37]  Michael I. Mishchenko,et al.  Effects of aggregation on scattering and radiative properties of soot aerosols , 2005 .

[38]  C. Sorensen,et al.  Extinction and the optical theorem. Part I. Single particles. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[39]  Christian Mätzler,et al.  Thermal Microwave Radiation: Applications for Remote Sensing , 2006 .

[40]  M. van der Mee,et al.  Transfer of Polarized Light in Planetary Atmospheres: Basic Concepts and Practical Methods , 2005 .

[41]  Y. Shkuratov,et al.  Photometry of particulate surfaces at extremely small phase angles , 2007 .

[42]  D. Mackowski A simplified model to predict the effects of aggregation on the absorption properties of soot particles , 2006 .

[43]  Adrian Doicu,et al.  Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources , 2000 .

[44]  Gorden Videen,et al.  Yet another look at light scattering from particles in absorbing media. , 2003, Applied optics.

[45]  T. Wriedt Light scattering theories and computer codes , 2009 .

[46]  K. Liou,et al.  Light scattering and absorption by nonspherical ice crystals , 2006 .

[47]  A. Ray,et al.  Simultaneous determination of size and wavelength-dependent refractive indices of thin-layered droplets from optical resonances. , 1995, Applied optics.

[48]  J. Kong,et al.  Theory of microwave remote sensing , 1985 .

[49]  M. Mishchenko,et al.  How big should hexagonal ice crystals be to produce halos? , 1999, Applied optics.

[50]  V. Babenko,et al.  Electromagnetic scattering in disperse media : inhomogeneous and anisotropic particles , 2003 .

[51]  M. Mishchenko Multiple scattering by particles embedded in an absorbing medium. 2. Radiative transfer equation , 2008 .

[52]  Rajan K. Chakrabarty,et al.  Aerosol light absorption and its measurement: A review , 2009 .

[53]  Andrew A. Lacis,et al.  Scattering, Absorption, and Emission of Light by Small Particles , 2002 .

[54]  V. Tishkovets Multiple scattering of light by a layer of discrete random medium: backscattering , 2002 .

[55]  F.Michael Kahnert,et al.  Numerical methods in electromagnetic scattering theory , 2003 .

[56]  P. Buseck,et al.  TEM study of aerosol particles from clean and polluted marine boundary layers over the North Atlantic , 2003 .

[57]  Claus Müller,et al.  Foundations of the mathematical theory of electromagnetic waves , 1969 .

[58]  Ian Barnes,et al.  Environmental Simulation Chambers: Application to Atmospheric Chemical Processes , 2006 .

[59]  Jean-François Léon,et al.  Application of spheroid models to account for aerosol particle nonsphericity in remote sensing of desert dust , 2006 .

[60]  Gorden Videen,et al.  Photopolarimetry in remote sensing , 2004 .

[61]  Michael I. Mishchenko,et al.  Calculation of the T matrix and the scattering matrix for ensembles of spheres , 1996 .

[62]  D. Saxon Lectures on the scattering of light , 1974 .

[63]  K. Stamnes,et al.  Impact of ice particle shape on short-wave radiative forcing: A case study for an arctic ice cloud , 2008 .

[64]  K. Liou,et al.  Radiative Transfer in Cirrus Clouds. Part IV: On Cloud Geometry, Inhomogeneity, and Absorption , 1996 .

[65]  Solar absorption by Mie resonances in cloud droplets , 2006 .

[66]  G. Videen,et al.  Optics of cosmic dust , 2002 .

[67]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[68]  J. Kiehl,et al.  Narrow resonance structure in the Mie scattering characteristics. , 1978, Applied optics.

[69]  M. V. Rossum,et al.  Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion , 1998, cond-mat/9804141.

[70]  M. Poellot,et al.  Role of small ice crystals in radiative properties of cirrus: a case study , 1994 .

[71]  Extinction and the optical theorem. Part II. Multiple particles. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[72]  S. Skipetrov,et al.  Wave Scattering in Complex Media: From Theory to Applications , 2003 .

[73]  A. Borovoi,et al.  Light backscattering by hexagonal ice crystal particles in the geometrical optics approximation , 2005 .

[74]  Michael I. Mishchenko,et al.  A study of radiative properties of fractal soot aggregates using the superposition T-matrix method , 2008 .

[75]  D. Ceburnis,et al.  Light backscattering and scattering by nonspherical sea-salt aerosols , 2003 .

[76]  Alexander A. Kokhanovsky,et al.  Light Scattering Reviews , 2006 .

[77]  M. Mishchenko,et al.  Modeling phase functions for dustlike tropospheric aerosols using a shape mixture of randomly oriented polydisperse spheroids , 1997 .

[78]  J. Hovenier Symmetry Relationships for Scattering of Polarized Light in a Slab of Randomly Oriented Particles , 1969 .

[79]  H. V. Hulst Light Scattering by Small Particles , 1957 .

[80]  Andrew A. Lacis,et al.  Sensitivity of cirrus cloud albedo, bidirectional reflectance and optical thickness retrieval accuracy to ice particle shape , 1996 .

[81]  G. Mie Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen , 1908 .

[82]  Nikolai G. Khlebtsov,et al.  Optics and biophotonics of nanoparticles with a plasmon resonance , 2008 .

[83]  Alfons G. Hoekstra,et al.  The discrete dipole approximation: an overview and recent developments , 2007 .

[84]  M. Mishchenko,et al.  Light in planetary atmospheres and other particulate media: A tribute to Professor Joop W. Hovenier , 2006 .

[85]  Kenneth Sassen,et al.  Lidar Backscatter Depolarization Technique for Cloud and Aerosol Research , 2000 .

[86]  O. Muñoz,et al.  Experimental light scattering matrices from the Amsterdam Light Scattering Database , 2006 .

[87]  Larry D. Travis,et al.  Light Scattering by Nonspherical Particles , 1998 .

[88]  Ralf Lenke,et al.  Multiple Scattering of Light : Coherent Backscattering and Transmission , 2000 .

[89]  P. Waterman,et al.  SYMMETRY, UNITARITY, AND GEOMETRY IN ELECTROMAGNETIC SCATTERING. , 1971 .

[90]  J. Hovenier,et al.  An update of the Amsterdam Light Scattering Database , 2006 .

[91]  Determination of size, refractive index, and dispersion of single droplets from wavelength-dependent scattering spectra. , 1994, Applied optics.

[92]  Resonances and poles of weakly absorbing spheres , 1995 .

[93]  V. Freudenthaler,et al.  Optical parameters of contrails from lidar measurements : Linear depolarization , 1996 .

[94]  Hester Volten,et al.  Photometry and polarimetry of particulate surfaces and aerosol particles over a wide range of phase angles , 2007 .

[95]  S. C. Hill,et al.  Light scattering by size/shape distributions of soil particles and spheroids. , 1984, Applied optics.

[96]  V. Tishkovets,et al.  Incoherent and coherent backscattering of light by a layer of densely packed random medium , 2007 .

[97]  H. Horvath Atmospheric light absorption : a review , 1993 .

[98]  B. Hecht,et al.  Principles of nano-optics , 2006 .

[99]  M. Mishchenko,et al.  The influence of inclusions on light scattering by large ice particles , 1996 .

[100]  J. L. Huckaby,et al.  Layer formation on microdroplets : a study based on resonant light scattering , 1995 .

[101]  W. Brown,et al.  Scattering in polymeric and colloidal systems , 2000 .

[102]  E. Zubko,et al.  Effect of absorption on light scattering by agglomerated debris particles , 2009 .

[103]  Simone Tanelli,et al.  Backscattering enhancement on spheroid‐shaped hydrometeors: Considerations in water and ice particles of uniform size and Marshall‐Palmer distributed rains , 2007 .

[104]  Kultegin Aydin Centimeter and Millimeter Wave Scattering from Nonspherical Hydrometeors , 2000 .

[105]  B. Gustafson Microwave Analog to Light-Scattering Measurements , 2000 .

[106]  G. Videen,et al.  Light scattering by non-spherical particles , 2007 .

[107]  A. Macke,et al.  Single Scattering Properties of Atmospheric Ice Crystals , 1996 .

[108]  I. Gnedin,et al.  Propagation and Polarization of Radiation in Cosmic Media , 1995 .

[109]  J. Hovenier Light scattering by non-spherical particles. Proceedings. Workshop, Amsterdam (Netherlands), 2 - 3 May 1995. , 1996 .

[110]  G. Maret,et al.  A precise method to determine the angular distribution of backscattered light to high angles. , 2007, The Review of scientific instruments.

[111]  Gorden Videen,et al.  Conditions of applicability of the single-scattering approximation. , 2007, Optics express.

[112]  V. Chandrasekar,et al.  Polarimetric Doppler Weather Radar: Principles and Applications , 2001 .

[113]  M. Mishchenko,et al.  Reprint of: T-matrix computations of light scattering by nonspherical particles: a review , 1996 .

[114]  Ping Yang,et al.  Single-scattering properties of triaxial ellipsoidal particles for a size parameter range from the Rayleigh to geometric-optics regimes. , 2009, Applied optics.

[115]  Craig F. Bohren,et al.  Extinction by a spherical particle in an absorbing medium , 1979 .

[116]  Michael I. Mishchenko,et al.  Far-field approximation in electromagnetic scattering , 2006 .

[117]  M. I. Mishchenko,et al.  Enhanced backscattering of polarized light from discrete random media : calculations in exactly the backscattering direction , 1992 .

[118]  Petr Chýlekt,et al.  Light scattering by small particles in an absorbing medium , 1977 .

[119]  Thomas Wriedt,et al.  Generalized multipole techniques for electromagnetic and light scattering , 1999 .

[120]  A. Lacis,et al.  Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering , 2006 .

[121]  W. Wiscombe,et al.  Scattering from nonspherical Chebyshev particles. 2: Means of angular scattering patterns. , 1988, Applied optics.

[122]  R. Pecora Dynamic Light Scattering , 1985 .

[123]  Light in planetary atmospheres and other particulate media : A tribute to Professor , 2006 .

[124]  S. Silver Microwave antenna theory and design , 1949 .

[125]  C. Sorensen Light Scattering by Fractal Aggregates: A Review , 2001 .

[126]  Robert E. Benner,et al.  Morphology-Dependent Resonances , 1988 .

[127]  S. Fujime,et al.  [Dynamic light-scattering]. , 1985, Tanpakushitsu kakusan koso. Protein, nucleic acid, enzyme.

[128]  J. Swinburne Electromagnetic Theory , 1894, Nature.

[129]  Yu. A. Kravtsov,et al.  II Enhanced Backscattering in Optics , 1991 .

[130]  Le-Wei Li,et al.  Spheroidal Wave Functions in Electromagnetic Theory , 2001 .

[131]  B. Gustafson Microwave analog to light scattering measurements: a modern implementation of a proven method to achieve precise control. , 1996 .

[132]  Peter Meischner,et al.  Weather radar : principles and advanced applications , 2003 .

[133]  Michael I. Mishchenko,et al.  Depolarization of lidar returns by small ice crystals: An application to contrails , 1998 .

[134]  M. Mishchenko Multiple scattering by particles embedded in an absorbing medium. 1. Foldy-Lax equations, order-of-scattering expansion, and coherent field. , 2008, Optics express.

[135]  George Gabriel Stokes,et al.  On the Composition and Resolution of Streams of Polarized Light from different Sources , 2009 .

[136]  A. Lacis,et al.  Morphology-dependent resonances of nearly spherical particles in random orientation. , 2003, Applied optics.

[137]  S. Durant,et al.  Light scattering by a random distribution of particles embedded in absorbing media: diagrammatic expansion of the extinction coefficient. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[138]  M. Mishchenko,et al.  Vector radiative transfer equation for arbitrarily shaped and arbitrarily oriented particles: a microphysical derivation from statistical electromagnetics. , 2002, Applied optics.

[139]  Alfons G. Hoekstra,et al.  Optics of biological particles , 2007 .

[140]  V. Derr,et al.  Remote sensing of the lower atmosphere , 1971 .

[141]  M. Mishchenko Microphysical approach to polarized radiative transfer: extension to the case of an external observation point. , 2003, Applied optics.