Abstract
The wave scattering by moving particles (dynamic scattering) is a well known physical problem routinely occurring in practice. For the particles which are much smaller than the incident wavelength, the static scattering problem can be solved by using the local perturbation method. In this paper we apply the local perturbation approach to the problem of the dynamic scattering by the cluster of small particles. We calculate the fields scattered by the cluster of moving particles. As an example, the scattered light field and its resonance frequency are calculated for moving sphere in scalar approximation and in vector case.
Highlights
Wave propagation and scattering in inhomogeneous media is a classical physical problem constantly reoccurring in many practical areas such as adaptive optics, free space communication, biology, and medicine
The wave scattering by moving particles is a well known physical problem routinely occurring in practice
For the particles which are much smaller than the incident wavelength, the static scattering problem can be solved by using the local perturbation method
Summary
Wave propagation and scattering in inhomogeneous media is a classical physical problem constantly reoccurring in many practical areas such as adaptive optics, free space communication, biology, and medicine. The local perturbation method was applied for wave scattering by cluster of static particles (Bass & Fix, 1997; Bass et al, 2000). In this paper we use the LPM to study the dynamic wave scattering by the cluster of the particles which characteristic sizes are small compared to the incident wavelength. We note that the local perturbation method (LPM) is valid for the particles (perturbations) which characteristic size Ln is much smaller compared to the incident wavelength λ and that in this case the following relation holds (Bass & Fix, 1997). The formula gives analytical expression for the field scattered by the particles moving with the same speed in the local perturbation approximation
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