منابع مشابه
Many-body wave scattering by small bodies
Acoustic or electromagnetic EM wave scattering by one or several bodies is usually studied by reducing the problem to solving some integral equations. In this paper we show that if the bodies are small in comparison with the wavelength, then the scattering problem can be reduced to solving linear algebraic systems with matrices whose elements have physical meaning. These elements are electrical...
متن کاملMany-body wave scattering by small bodies and applications
A rigorous reduction of the many-body wave scattering problem to solving a linear algebraic system is given bypassing solving the usual system of integral equation. The limiting case of infinitely many small particles embedded into a medium is considered and the limiting equation for the field in the medium is derived. The impedance boundary conditions are imposed on the boundaries of small bod...
متن کاملWave scattering by many small bodies
Abstract Wave scattering by many (M = M(a)) small bodies, at the boundary of which an interface boundary condition is imposed, is studied. Smallness of the bodies means that ka << 1, where a is the characteristic dimension of the body and k = 2π λ is the wave number in the medium in which small bodies are embedded. Equation for the effective field is derived in the limit as a → 0, M(a)→∞, at a ...
متن کاملWave scattering by many small bodies: transmission boundary conditions
Wave scattering by many (M = M(a)) small bodies, at the boundary of which transmission boundary conditions are imposed, is studied. Smallness of the bodies means that ka << 1, where a is the characteristic dimension of the body and k = 2π λ is the wave number in the medium in which small bodies are embedded. Explicit asymptotic formulas are derived for the field scattered by a single small scat...
متن کاملWave scattering by many small bodies and applications
where a is the characteristic size of the small bodies, k = 2π/λ = ω/c0 is the wave number, and c0 is the wave speed in free space, κ ∈ (0, 1) is a parameter one can choose as one wishes, d is the distance between neighboring particles, h(x) is a piecewise-continuous function in a bounded domain D ⊂ R3 with a smooth boundary S, h = h2 ≤ 0, h = h1 + ih2, xm ∈ Dm is an arbitrary point, Dm is a sm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2472185