Electromagnetic scattering theory

At the present time the electromagnetic scattering theory for a sphere, which we have called Mie theory, provides the only practical method for calculating light-scattering properties of finite particles of arbitrary size and refractive index. Clearly, however, many particles of interest are not spheres. It is therefore of considerable importance to know the extent to which Mie theory is applicable to nonspherical particles. To determine this requires generalizing from a large amount of experimental data and calculations. We summarize... 

The exact electromagnetic scattering theory of the concentric shell model was first solved by Aden and Kerker (1.) and shortly thereafter by Guttler (2). The problem has been extensively studied both theoretically and experimentally for aerosols by Kerker and co-workers and is reviewed in Kerker s book (3 ). The aerosol system had a core of relative refractive index m =2.105 and a shell of m2=1.482 corresponding to silver chloride coated with linolenic acid. The results indicated that for a smooth variation in the refractive index of the shell, the refractive index might not be sensitive to the form of the variation. 

Colton, D., and Kress, R., Inverse Acoustic and Electromagnetic Scattering Theory, Berlin Springer-Verlag, 1998. 

The optical properties of metal nanoparticles have traditionally relied on Mie theory, a pm-ely classical electromagnetic scattering theory for particles with known dielectrics [172]. For particles whose size is comparable to or larger than the wavelength of the incident radiation, this calculation is rather cumbersome. However, if the scatterers are smaller than 10% of the wavelength, as in nearly all nanocrystals, the lowest-order term of Mie theory is sufficient to describe the absorption and scattering of radiation. In this limit, the absorption is determined solely by the frequency-dependent dielectric function of the metal particles and the dielectric of the baekgrotmd matrix in which they are... 

Kahnert FM Numerical methods in electromagnetic scattering theory, J Quant Spectrosc Radiat Transf79S0 775-S24, 2003. 

Colton D, Kress R Inverse acoustic and electromagnetic scattering theory, ed 2, Berhn, 1998, Springer. 

Before formulating the boundary-value problem for the Maxwell equations we introduce some normed spaces which are relevant in electromagnetic scattering theory. With S being the boundary of a domain ), we denote by [39,40]... 

There is one important idea, the raison d etre of this book, that we should like to implant firmly in the minds of our readers scattering theory divorced from the optical properties of bulk matter is incomplete. Solving boundary-value problems in electromagnetic theory may be great fun and often requires considerable skill but the full physical ramifications of mathematical solutions are hidden to those with little knowledge of how refractive indices of various solids and liquids depend on frequency, the values they take, and the constraints imposed on them. Accordingly, this book is divided into three parts. 

Part 1, Chapters 1 through 8, is primarily scattering theory. After an introduction there is a chapter on those topics from electromagnetic theorv essential to an understanding of the succeeding six chapters on exact and... 

A. Taflove and M. E. Brodwin, Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell s equations, IEEE Trans. Microw. Theory Tech., vol. 23, no. 8, pp. 623-630, Aug. 1975.doi 10.1109/TMTT.1975.1128640... 

L. Tsang, J. A. Kong, and K.-H. Ding (2000). Scattering of Electromagnetic Waves Theories and Applications (John WUey Sons, New York). 

Muinonen, K., 2003 Light scattering by tetrahedral particles in the kirchhoff approximation. In T. Wriedt, ed., Electromagnetic and Light Scattering — Theory and Applications VII, pp. 251-254. 

P.C. Waterman Matrix Methods in Potential Theory and Electromagnetic Scattering (to be published)... 

Davis (1996) provides an extensive discussion on scattering theory based on statistical mechanical considerations, where the electromagnetic origins have been abbreviated. liquation 8.33 is actually valid for small scattraing vectors defined in Equations 8.30 and 8.31. At larger scattering vectors the differences between spheres, cyUnders, and eUipsoids become apparent, as discussed by Davis (1996). 

Y.-L. Xu, Efficient evaluation of vector translation coefficients in multiparticle light-scattering theories. J. Comp. Phys. 139(1), 137-165 (1998a). doi 10.1006/jcph. 1997.5867 Y.-L. Xu, Electromagnetic scattering by an aggregate of spheres asymmetry parameter. Phys. 

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