In this paper, we study the reflection coefficient of a periodic Bragg reflecting structure in which there exists both an index-of-refraction grating as well as a gain grating. Most past studies have assumed that these two gratings were in phase with each other. In the present work we investigate the effects that arise when a phase shift is purposely introduced between the two gratings. We use a normal coupled-wave analysis to calculate the reflection coefficient as a function of the detuning away from the Bragg frequency when this grating phase difference is varied from 0 to 2π. We find particular phase difference values for which essentially a single-line reflection coefficient results, which in turn should produce narrow-band, single-mode operation of any device utilizing this Bragg structure for distributed feedback purposes.

Publication Date



©1995 Institute of Electrical and Electronics Engineers (IEEE). Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. ISSN:0018-9197 Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in February 2014.

Document Type


Department, Program, or Center

School of Mathematical Sciences (COS)


RIT – Main Campus