Single-shot measurements of the relativistic Thomas angle optical analogue in a Michelson-Gires-Tournois interferometer with no moving parts

Abstract

We report a "moving-parts-free" optical configuration of a recently reported optical analogue of the Thomas angle in special relativity using a modified Michelson-Gires-Tournois interferometer (m-MGTI) that can obtain the measured data in a "single-shot" instead of performing sequential replacements of a series of Gires-Tournois resonators (GTR) to fully access the entire range of values for r₁ and θ (where 0 < r₁ < 1 and −π < θ < Ï€). The key elements in this modified configuration involve (i) a graded reflectivity front mirror for the GTR, (ii) a beam expander, and (iii) a photodetector array. This new configuration removes optical instability and interferometric errors while providing speed, compactness and stability.