Ray transfer matrix for a tunable plane diffraction grating

Abstract

A ray matrix for a tunable plane diffraction grating is presented. Grating tunability introduced through infinitesimal deformations reveals a linear relation between groove separation and applied strain. This linearity is used to derive the grating equation and diffraction intensity as functions of applied strain. Analysis of the diffracted beam reveals that the profile of an incident Gaussian beam is preserved by diffraction from a grating. Relative diffraction intensities, calculated by assuming negligible change in groove height, are found to be in good agreement with results found from the ABCD Law.