Equations for the self-consistent field in random medium
نویسنده
چکیده
An integral-differential equation is derived for the self-consistent (effective) field in the medium consisting of many small bodies randomly distributed in some region. Acoustic and electromagnetic fields are considered in such a medium. Each body has a characteristic dimension a ≪ λ, where λ is the wavelength in the free space. The minimal distance d between any of the two bodies satisfies the condition d ≫ a, but it may also satisfy the condition d ≪ λ in acoustic scattering. In electromagnetic scattering our assumptions are a ≪ λ and λ ≪ d. Using Ramm’s theory of wave scattering by small bodies of arbitrary shapes, the author derives an integral-differential equation for the self-consistent acoustic or electromagnetic fields in the above medium.
منابع مشابه
2 00 3 Equations for the self - consistent field in random medium
An integral-differential equation is derived for the self-consistent (effective) field in the medium consisting of many small bodies randomly distributed in some region. Acoustic and electromagnetic fields are considered in such a medium. Each body has a characteristic dimension a ≪ λ, where λ is the wavelength in the free space. The minimal distance d between any of the two bodies satisfies th...
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