Journal ArticleDOI
Multiple Scattering of Electromagnetic Waves by Arbitrary Configurations
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TLDR
In this article, a vector-dyadic formalism was introduced for vector electromagnetic scattering problems, and analogous integral equations which specify the multiple-scattering amplitudes for many objects in terms of the corresponding functions for isolated scatterers were derived.Abstract:
This paper extends to three‐dimensional vector electromagnetic scattering problems our previous development of the scalar problems. We introduce a vector‐dyadic formalism that facilitates exploiting the previous results, and derive analogous integral equations which specify the multiple‐scattering amplitudes for many objects in terms of the corresponding functions for isolated scatterers. One representation is in terms of the dyadic analog of Beltrami's operator. For arbitrary configurations, the multi‐scattered amplitudes are developed as series in inverse powers of the separations of scatterers (with coefficients in terms of isolated scatterer amplitudes and their derivatives); for two scatterers, we derive a corresponding closed form in terms of a differential operator. Another representation is a system of algebraic equations for the many‐body multipole coefficients in terms of the isolated scatterer values. Explicit closed forms are derived for two arbitrarily spaced elementary scatterers (electric dipoles, magnetic dipoles, etc.) both by separations of variables, and by working with elementary dyadic fields.read more
Citations
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Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers
Pablo Albella,Pablo Albella,M. Ameen Poyli,Mikolaj K. Schmidt,Stefan A. Maier,Fernando Moreno,Juan José Sáenz,Javier Aizpurua +7 more
TL;DR: In this article, the electromagnetic behavior of the basic unit constituted by a dimer of dielectric nanoparticles made of moderately low-loss high refractive index material is explored and studied through an analytical dipole-dipole model.
Journal ArticleDOI
Multiple scattering of EM waves by spheres part I--Multipole expansion and ray-optical solutions
J. Bruning,Y.T. Lo +1 more
TL;DR: In this article, a new recursion relation is derived which reduces the computation effort by several orders of magnitude so that a quantitative analysis for spheres as large as 10 λ in radius at a spacing as small as two spheres in contact becomes feasible.
Journal ArticleDOI
The Design and Applications of High-Performance Ray-Tracing Simulation Platform for 5G and Beyond Wireless Communications: A Tutorial
TL;DR: This tutorial will be especially useful for researchers who work on RT algorithms development and channel modeling to meet the evaluation requirements of 5G and beyond technologies.
Journal ArticleDOI
Electromagnetic backscattering from a sparse distribution of lossy dielectric scatterers
TL;DR: In this paper, the authors used the Foldy approximation to find an equation for the mean field and derived an effective permittivity for the scattering medium from this equation, from which the correlation of the scattered field was found by employing the distorted Born approximation, i.e., particles embedded in the effective medium are assumed to be single scatterers.
Journal ArticleDOI
A Scatter Model for Leafy Vegetation
Adrian K. Fung,Fawwaz T. Ulaby +1 more
TL;DR: In this article, a model for vegetation scatter was developed using the first-order renormalization method, where the vegetation medium was taken to be an inhomogeneous medium characterized by a random permittivity function with a cylindrically symmetric fast-decaying correlation function.
References
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Journal ArticleDOI
Light Scattering by Small Particles
H. C. Van de Hulst,V. Twersky +1 more
TL;DR: Light scattering by small particles as mentioned in this paper, Light scattering by Small Particle Scattering (LPS), Light scattering with small particles (LSC), Light Scattering by Small Parts (LSP),
Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Book
Light Scattering by Small Particles
TL;DR: Light scattering by small particles as mentioned in this paper, Light scattering by Small Particle Scattering (LPS), Light scattering with small particles (LSC), Light Scattering by Small Parts (LSP),