Diffraction of waves by screens (apertures in screens) with time-varying dimensions. Time-varying Kirchhoff's integral representation for moving boundaries

2015/04/08 by Baryshevsky, V. G.
#FOS: Physical sciences #Optics (physics.optics) #Plasma Physics (physics.plasm-ph)

paper · doi:10.48550/arxiv.1504.01889

Abstract

The diffraction of electromagnetic waves by screens (apertures in screens) with time-varying dimensions is studied. The generalized vector Kirchhoff's representation for this case is obtained. It is also shown that with accuracy up to the terms of the order of v/c<<1, the expressions for the scattered wave and instantaneous power can be derived from the appropriate expressions for a stationary case by substituting the time-dependent parameters of the screen dimensions (e.g. time-dependent radius) for constant parameters of screen dimensions (e.g., the screen radius) appearing in the formulas describing the stationary case.

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