A Closed-Form Analysis of Reflective-Array Gratings

Abstract

A new analysis of oblique-incidence reflective array gratings is presented. Gratings with a constant spatial period and with a linear spatial chirp are considered. lutions are derived for the grating waves that incorporate a1 1 orders of ,nul ti ple reflections and power depletion within the gratings. are obtained using coupling-of-modes theory. solutions shed new light on the operation of such grating devices. In particular they permit a more detailed and exact analysis of the reflective-array compressor (RAC) than was previously possible with complex numerical computer analyses. The implications of the new analysis for RAC design are examined in detail and distortions of the device response, caused by previously ignored effects, are elucidated. For the first time exact soThe solutions These