Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications

Mishchenko, Michael I.; Hovenier, Joachim W.; Travis, Larry D.

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Table of contents
  • Cover
  • Copyright Pageiv
  • Contentsv
  • Contributorsxv
  • Prefacexix
  • Hints from History: A Forewordxxv
  • Part I: Introduction1
  • Chapter 1. Concepts, Terms, Notation3
  • I. Introduction3
  • II. Independent Scattering4
  • III. Reference Frames and Particle Orientation5
  • IV. Amplitude Matrix7
  • V. Stokes Parameters9
  • VI. Phase Matrix11
  • VII. Total Optical Cross Sections12
  • VIII. Dichroism and Extinction Matrix13
  • IX. Reciprocity14
  • X. Ensemble Averaging15
  • XI. Scattering Matrix and Macroscopically Isotropic and Symmetric Media17
  • XII. Multiple Scattering and Radiative Transfer Equation22
  • XIII. Appendix: Geometrical Interpretation of Stokes Parameters and the Rotation Transformation Law24
  • Chapter 2. Overview of Scattering by Nonspherical Particles29
  • I. Introduction30
  • II. Exact Theories and Numerical Techniques31
  • III. Approximations45
  • IV. Measurements49
  • V. Manifestations of Nonsphericity in Electromagnetic Scattering54
  • VI. Abbreviations59
  • Chapter 3. Basic Relationships for Matrices Describing Scattering by Small Particles61
  • I. Introduction61
  • II. Relationships for Scattering by One Particle in a Fixed Orientation62
  • III. Relationships for Single Scattering by a Collection of Particles74
  • IV. Testing Matrices Describing Scattering by Small Particles77
  • V. Discussion and Outlook82
  • Part II: Theoretical and Numerical Techniques87
  • Chapter 4. Separation of Variables for Electromagnetic Scattering by Spheroidal Particles89
  • I. Introduction90
  • II. Spheroidal Coordinate Systems91
  • III. Spheroidal Wave Functions92
  • IV. Spheroidal Vector Wave Functions98
  • V. Electromagnetic Scattering by a Coated Lossy Spheroid100
  • VI. Scattering of Electromagnetic Waves by a Chiral Spheroid109
  • VII. Scattering by Systems of Arbitrarily Oriented Spheroids114
  • Chapter 5. The Discrete Dipole Approximation for Light Scattering by Irregular Targets131
  • I. Introduction131
  • II. What Is the Discrete Dipole Approximation?132
  • III. The DDSCAT Scattering Code133
  • IV. Dipole Array Geometry134
  • V. Target Generation134
  • VI. Dipole Polarizabilities136
  • VII. Accuracy and Validity Criteria137
  • VIII. Solution Method137
  • IX. Computational Requirements139
  • X. Benchmark Calculations: Scattering by Tetrahedra140
  • XI. Summary144
  • Chapter 6. T-Matrix Method and Its Applications147
  • I. Introduction147
  • II. The T-Matrix Approach148
  • III. Analytical Averaging over Orientations152
  • IV. Computation of the T Matrix for Single Particles157
  • V. Aggregated and Composite Particles160
  • VI. Public-Domain T-Matrix Codes166
  • VII. Applications170
  • Chapter 7. Finite Difference Time Domain Method for Light Scattering by Nonspherical and Inhomogeneo173
  • I. Introduction174
  • II. Conceptual Basis of the Finite Difference Time Domain Method175
  • III. Finite Difference Equations for the Near Field178
  • IV. Absorbing Boundary Condition194
  • V. Field in Frequency Domain201
  • VI. Transformation of Near Field to Far Field204
  • VII. Scattering Properties of Aerosols and Ice Crystals211
  • VIII. Conclusions220
  • Part III: Compounded, Heterogeneous, and Irregular Particles223
  • Chapter 8. Electromagnetic Scattering by Compounded Spherical Particles225
  • I. Introduction226
  • II. Historical Overview226
  • III. Scattering and Absorption of Light by Homogeneous and Concentrically Stratified Spheres229
  • IV. Eccentric Two-Sphere Systems240
  • V. Aggregates of NS Arbitrarily Configured Spheres243
  • VI. Cluster T Matrix and Random-Orientation Properties253
  • VII. Measurements and Applications256
  • VIII. Vector Addition Theorem267
  • Chapter 9. Effective Medium Approximations for Heterogeneous Particles273
  • I. Introduction274
  • II. Effective Medium Approximations275
  • III. Frequency-Dependent Dielectric Function277
  • IV. Dynamic Effective Medium Approximation282
  • V. Extended Effective Medium Approximations290
  • VI. Comparison with Other Approximations, Models, and Measurements293
  • VII. Operational Definition of an Effective Dielectric Constant306
  • VIII. Conclusions307
  • Chapter 10. Monte Carlo Calculations of Light Scattering by Large Particles with Multiple Internal I309
  • I. Introduction309
  • II. Ray-Tracing/Monte Carlo Technique310
  • III. Results313
  • IV. Analytic Approximation320
  • V. Conclusions322
  • Chapter 11. Light Scattering by Stochastically Shaped Particles323
  • I. Introduction323
  • II. Stochastic Geometry327
  • III. Scattering by Gaussian Particles335
  • IV. Conclusion349
  • Part IV: Laboratory Measurements353
  • Chapter 12. Measuring Scattering Matrices of Small Particles at Optical Wavelengths355
  • I. Introduction355
  • II. Mueller Matrices and Polarization Modulation356
  • III. Experimental Setup360
  • IV. Tests361
  • V. Results362
  • Chapter 13. Microwave Analog to Light-Scattering Measurements367
  • I. Introduction367
  • II. Analog Materials368
  • III. Measurement Principles370
  • IV. Measurements378
  • V. Discussion389
  • Part V: Applications391
  • Chapter 14. Lidar Backscatter Depolarization Technique for Cloud and Aerosol Research393
  • I. Introduction393
  • II. Theoretical Background395
  • III. Polarization Lidar Design Considerations399
  • IV. Aerosol Research403
  • V. Water and Mixed-Phase Cloud Research406
  • VI. Cirrus Cloud Research408
  • VII. Precipitation and the Phase Change411
  • VIII. Conclusions and Outlook414
  • Chapter 15. Light Scattering and Radiative Transfer in Ice Crystal Clouds: Applications to Climate R417
  • I. Introduction418
  • II. Unified Theory for Light Scattering by Ice Crystals418
  • III. Application to Remote Sensing and Climate Research435
  • IV. Summary447
  • Chapter 16. Centimeter and Millimeter Wave Scattering from Nonspherical Hydrometeors451
  • I. Introduction451
  • II. Polarimetric Radar Parameters452
  • III. Hydrometeor Models456
  • IV. Scattering Characteristics of Hydrometeors459
  • V. Discrimination of Hydrometeors with Polarimetric Radar470
  • VI. Quantitative Estimation with Polarimetric Radar476
  • Chapter 17. Microwave Scattering by Precipitation481
  • I. Introduction482
  • II. Review of Previous Work485
  • III. Mathematical Formulation499
  • IV. Examples of Model Atmosphere Simulations and Results512
  • V. Conclusions and Recommendations519
  • VI. Appendix A. Particle Size Distribution: N(r) versus N(D)522
  • VII. Appendix B. Particle Size Distribution: Equivalent Spheres522
  • VIII. Appendix C. Use of Power Law Distribution in T-Matrix Method524
  • Chapter 18. Polarized Light Scattering in the Marine Environment525
  • I. Introduction525
  • II. Analytical Description of Light Scattering527
  • III. Experimental Measurement Techniques533
  • IV. Polarized Light Scattering in the Marine Atmosphere536
  • V. Polarized Light Scattering in the Submarine Environment543
  • VI. Polarized Light Scattering in Sea Ice551
  • VII. Conclusions553
  • Chapter 19. Scattering Properties of Interplanetary Dust Particles555
  • I. Introduction555
  • II. Observations of Zodiacal Light and Their Interpretation558
  • III. Dust in the Solar System: Complementary View568
  • IV. Shape Models for Dust Particles572
  • V. Light Scattering by Cosmic Dust Particles578
  • VI. Discussion582
  • Chapter 20. Biophysical and Biomedical Applications of Nonspherical Scattering585
  • I. Introduction585
  • II. Theoretical Framework587
  • III. Experimental Techniques596
  • IV. Concluding Remarks602
  • References603
  • Index675
Book details
  • Vendor Elsevier S & T
  • SKU 9780124986602
  • ISBN-13 9780080510200
  • Author Mishchenko, Michael I.; Hovenier, Joachim W.; Travis, Larry D.
  • Category Nature
  • Subject Weather

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There is hardly a field of science or engineering that does not have some interest in light scattering by small particles. For example, this subject is important to climatology because the energy budget for the Earth's atmosphere is strongly affected by scattering of solar radiation by cloud and aerosol particles, and the whole discipline of remote sensing relies largely on analyzing the parameters of radiation scattered by aerosols, clouds, and precipitation. The scattering of light by spherical particles can be easily computed using the conventional Mie theory. However, most small solid particles encountered in natural and laboratory conditions have nonspherical shapes. Examples are soot and mineral aerosols, cirrus cloud particles, snow and frost crystals, ocean hydrosols, interplanetary and cometary dust grains, and microorganisms. It is now well known that scattering properties of nonspherical particles can differ dramatically from those of "equivalent" (e.g., equal-volume or equal-surface-area) spheres. Therefore, the ability to accurately compute or measure light scattering by nonspherical particles in order to clearly understand the effects of particle nonsphericity on light scattering is very important.
The rapid improvement of computers and experimental techniques over the past 20 years and the development of efficient numerical approaches have resulted in major advances in this field which have not been systematically summarized. Because of the universal importance of electromagnetic scattering by nonspherical particles, papers on different aspects of this subject are scattered over dozens of diverse research and engineering journals. Often experts in one discipline (e.g., biology) are unaware of potentially useful results obtained in another discipline (e.g., antennas and propagation). This leads to an inefficient use of the accumulated knowledge and unnecessary redundancy in research activities.
This book offers the first systematic and unified discussion of light scattering by nonspherical particles and its practical applications and represents the state-of-the-art of this important
research field. Individual chapters are written by leading experts in respective areas and cover three major disciplines: theoretical and numerical techniques, laboratory measurements, and practical applications. An overview chapter provides a concise general introduction to the subject of nonspherical scattering and should be especially useful to beginners and those interested in fast practical applications. The audience for this book will include graduate students, scientists, and engineers working on specific aspects of electromagnetic scattering by small particles and its applications in remote sensing, geophysics, astrophysics, biomedical optics, and optical engineering.



* The first systematic and comprehensive treatment of electromagnetic scattering by nonspherical particles and its applications
* Individual chapters are written by leading experts in respective areas
* Includes a survey of all the relevant literature scattered over dozens of basic and applied research journals
* Consistent use of unified definitions and notation makes the book a coherent volume
* An overview chapter provides a concise general introduction to the subject of light scattering by nonspherical particles
* Theoretical chapters describe specific easy-to-use computer codes publicly available on the World Wide Web
* Extensively illustrated with over 200 figures, 4 in color