Rayleigh-Sommerfeld scalar diffraction by apertures moving at relativistic speeds

Abstract

We have analytically obtained the theoretical results for Rayleigh-Sommerfeld (R-S) scalar diffraction by apertures such as single-slit, double-slit, grating, and circular apertures, moving at relativistic speeds with velocities perpendicular to the direction of incidence. We also have studied diffraction by the single slit of an oscillatory shutter. Significantly, our study probes the relativistic transverse Doppler effect on the intensity pattern of the diffracted field.