Matrix Green’s Functions and Their Application in Analyzing Scattering by Density and Sound Velocity Inhomogeneitiesстатья
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Дата последнего поиска статьи во внешних источниках: 26 декабря 2015 г.
Аннотация:Matrix Green’s functions are introduced for a linearized system of hydrodynamic equations. The relations between the retarded and advanced Green’s functions and Green’s functions of the direct and conjugate operators of the system of hydrodynamic equations are determined. An expression for the reciprocity principle and a relation like the Marchenko equation are derived. The proposed mathematical apparatus is used to analyze scattering by a quasipoint refractiondensity inhomogeneity of a medium. The phase and amplitude limitations are obtained for the scattering coefficients of such an inhomogeneity. The existence of the largest possible amplitude of the scattered field should be taken into account in designing metamaterials consisting of individual elements whose sizes are small compared to the wavelength, including those with resonance properties.