Rayleigh-Sommerfeld scalar diffraction by apertures moving at relativistic speeds

Abstract

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