70 06 v 1 1 J ul 2 00 5 Distribution of particles which produces a desired radiation pattern
نویسنده
چکیده
A method is given for calculation of a distribution of small particles, embedded in a medium, so that the resulting medium would have a desired radiation pattern for the plane wave scattering by this medium.
منابع مشابه
un 2 00 6 Distribution of particles which produces a desired radiation pattern
It is shown that any desired radiation pattern f (β) ∈ L 2 (S 2), where S 2 is the unit sphere in R 3 , can be generated by a suitable distribution of small, acoustically soft particles D m ⊂ D, 1 ≤ m ≤ M , in an a priori given bounded domain D ⊂ R 3. In this theory the geometrical shape of a small particle D m is arbitrary, the boundary S m of D m is Lipschitz uniformly with respect to m. The ...
متن کاملv 1 2 1 Ju n 20 06 Distribution of particles which produces a desired radiation pattern
If Aq(β, α, k) is the scattering amplitude, corresponding to a potential q ∈ L 2(D), where D ⊂ R3 is a bounded domain, and eikα·x is the incident plane wave, then we call the radiation pattern the function A(β) := Aq(β, α, k), where the unit vector α, the incident direction, is fixed, and k > 0, the wavenumber, is fixed. It is shown that any function f(β) ∈ L2(S2), where S2 is the unit sphere i...
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متن کاملv 2 2 6 Ju n 20 06 Distribution of particles which produces a desired radiation pattern
If Aq(β, α, k) is the scattering amplitude, corresponding to a potential q ∈ L 2(D), where D ⊂ R3 is a bounded domain, and eikα·x is the incident plane wave, then we call the radiation pattern the function A(β) := Aq(β, α, k), where the unit vector α, the incident direction, is fixed, and k > 0, the wavenumber, is fixed. It is shown that any function f(β) ∈ L2(S2), where S2 is the unit sphere i...
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If A q (β, α, k) is the scattering amplitude, corresponding to a potential q ∈ L 2 (D), where D ⊂ R 3 is a bounded domain, and e ikα·x is the incident plane wave, then we call the radiation pattern the function A(β) := A q (β, α, k), where the unit vector α, the incident direction, is fixed, and k > 0, the wavenumber, is fixed. It is shown that any function f (β) ∈ L 2 (S 2), where S 2 is the u...
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