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Rayleigh hypothesis in scattering problems
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In this paper, it was shown that the validity of the Rayleigh hypothesis is dependent on the distribution of singularities in the analytic continuation of the exterior scattered field; the hypothesis is fulfilled if, and only if, these are concentrated in a sufficiently small domain.Abstract:
It is shown that the validity of the Rayleigh hypothesis is dependent on the distribution of singularities in the analytic continuation of the exterior scattered field; the hypothesis is fulfilled if, and only if, these are concentrated in a sufficiently small domain. Conclusions reached by Burrows in a recent letter are criticised.read more
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The Rayleigh hypothesis and a related least‐squares solution to scattering problems for periodic surfaces and other scatterers
TL;DR: In this paper, the authors reviewed the Rayleigh hypothesis in relation to scattering by periodic surfaces, aperiodic surfaces, and bounded, two-dimensional bodies, and provided conditions for its validity for a sinusoidal grating.
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T-matrix theory of electromagnetic scattering by particles and its applications: a comprehensive reference database
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Scattering from nonspherical Chebyshev particles. I: cross sections, single-scattering albedo, asymmetry factor, and backscattered fraction.
TL;DR: It is shown that nonsphericity always increases Qabs for size parameters larger than ∼10, while it decreases g—and correspondingly increases β—in the size range 8 ≤ x ≤ 15, and Concavity almost always enhances the spherical–nonspherical differences.
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Directional emission from asymmetric resonant cavities
TL;DR: Numerical and experimental confirmation of the theory that asymmetric resonant cavities with highly noncircular but convex cross sections are predicted theoretically to have high-Q whispering gallery modes with highly anisotropic emission is presented.
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Scattering of waves from periodic surfaces
Shun Lien Chuang,Jin Au Kong +1 more
TL;DR: In this article, the authors compared three analytical methods for a conducting sinusoidal surface in detail for both TE and TM polarized waves, and found the MMM method to be the most efficient one in terms of the rate and range of convergence.