Abstract
This paper presents a systematic analysis of the problem of multiple scattering by a finite group of arbitrarily sized, shaped, and oriented particles embedded in an absorbing, homogeneous, isotropic, and unbounded medium. The volume integral equation is used to derive generalized Foldy-Lax equations and their order-of-scattering form. The far-field version of the Foldy-Lax equations is used to derive the transport equation for the so-called coherent field generated by a large group of sparsely, randomly, and uniformly distributed particles. The differences between the generalized equations and their counterparts describing multiple scattering by particles embedded in a non-absorbing medium are highlighted and discussed.
Highlights
Multiple scattering of electromagnetic waves by particles is an important discipline which has been the subject of numerous publications over the past few decades
This paper presents a systematic analysis of the problem of multiple scattering by a finite group of arbitrarily sized, shaped, and oriented particles embedded in an absorbing, homogeneous, isotropic, and unbounded medium
The important general case of an absorbing host medium has largely been ignored, a paper by Yang et al [8] and two recent papers by Durant et al [6, 9] being rare exceptions. The objective of this series of papers is to perform a systematic analysis of the problem of multiple scattering by particles imbedded in an absorbing host medium by generalizing the results summarized in [3, 7]
Summary
Multiple scattering of electromagnetic waves by particles is an important discipline which has been the subject of numerous publications over the past few decades (see, e.g., [1,2,3,4,5,6,7] and references therein). The important general case of an absorbing host medium has largely been ignored, a paper by Yang et al [8] and two recent papers by Durant et al [6, 9] being rare exceptions The objective of this series of papers is to perform a systematic analysis of the problem of multiple scattering by particles imbedded in an absorbing host medium by generalizing the results summarized in [3, 7]. The particles are allowed to have arbitrary sizes, shapes, and orientations In this first part of the series, the focus is on such fundamental ingredients of the multiplescattering theory as the vector Foldy–Lax equations, their order-of-scattering form, and the average (coherent) field. In order to save space and minimize redundancy, I assume that the reader has access to [3, 10] and use the same terminology and notation
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