Electromagnetic Scattering By Particles And Particle Groups

A self-contained, accessible introduction to the basic concepts, formalism and recent advances in electromagnetic scattering, for researchers and graduate students.

This is the first book devoted specifically to the problem of light scattering and absorption by inhomogeneous and anisotropic spherical particles. Unlike other books in the field, Electromagnetic Scattering in Disperse Media pays considerable attention to various aspects of light absorption inside particles, including internal field distributions, MDR resonances, and absorption in restricted regions inside particles. It contains many results (and more than 100 figures) computed for polydisperse particle systems and algorithms and provides the possibility to use them (web site). Although the main emphasis is given to optical properties of atmospheric aerosol, the book also deals with many other practical applications involving inhomogeneous and anisotropic particles

Whenever a wave encounters an obstacle a number of processes occur. For large objects we envisage reflection and transmission with refraction and, in ·many cases, absorption. These phenomena can be described with the aid of ray tracing or geometrical optics, but they do not completely describe the interaction. Diffraction also occurs, and this can only be described by the properties of waves, wave optics. When the object is less than or of the order of the wavelength these processes cannot be so simply understood. The whole interaction is governed by wave optics, and the interactions are lumped together under the heading 'scattering'. Associated with the above there may be changes in frequency of the wave. This may arise due to the Doppler effect if the obstacle is moving or changing in time in any way. Also there can be changes in the energy of the object which must be matched by the wave, such as, for example, in the Raman effect.

This monograph on multiple scattering of light by small particles is an ideal resource for science professionals, engineers, and graduate students.

This book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles. Beside the systematically developed Green’s function formalism of the first edition this second and enlarged edition contains additional material regarding group theoretical considerations for nonspherical particles with boundary symmetries, an iterative T-matrix scheme for approximate solutions, and two additional but basic applications. Moreover, to demonstrate the advantages of the group theoretical approach and the iterative solution technique, the restriction to axisymmetric scatterers of the first edition was abandoned.

In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton–anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms of the free field ϕ of the form ϕ→ϕ+φ, where φ is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form ϕ → Tϕ, where T is a symplectic map on the one-particle space, not near the identity. Contents: IntroductionHaag–Kastler FieldsRepresentations of the Poincaré GroupThe Maxwell Field Some Theory of RepresentationsEuclidean ElectrodynamicsModelsConclusion Readership: Graduate students and professional in particle and mathematical physics. Key Features:There are no competing titles for this bookKeywords:Relativistic Quasifree Representation of Transverse Electromagnetic Field;Quasi-Free Scattering;Quantum Scattering;Relativistic Quantum Field Theory;Quasi-Free Quantum Field Theory;C*-Algebra;Euclidean Electrodynamics;Haag-Ruelle Theory;Haag-Kastler Axioms;Segal-Bargmann Transform;Shale Transformation

A thorough and up-to-date treatment of electromagnetic scattering by small particles.

A comprehensive review of state-of-the-art techniques, models and research methods in modern astronomical polarimetry.