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

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