Simulating Photonic Band Gaps in Crystals

Report No. ARL-TR-4167
Authors: Daniel H. Kodan and Peter W. Chung
Date/Pages: June 2007; 50 pages
Abstract: This report summarizes the progress and results for a Student Temporary Employment Program Internship from July 2006 through June 2007. The report presents an introduction to the concept of photonic crystals through quantitative calculations of band gaps with the use of an open source code. Photonics is the science and technology of generating, controlling, and detecting photons, particularly in the visible light and near infrared spectrum. The first part of the report provides a detailed introduction to the principle of photonics from an engineering perspective and discusses possible concepts and applications for the future. Sample calculations for phonon dispersion curves are then presented with the use of simplified models of crystals to demonstrate universal principles of vibrational behavior to understand the properties of crystals. To this end, a MATLAB1 program was written to generate dispersion relations for two types of reduced dimensional lattices. The second part of the report demonstrates the implementation of a photonic band gap model. The calculations were performed with the use of the Massachusetts Institute of Technology photonic band gap code (MPB). The code was compiled and built on the computers at the U.S. Army Research Laboratorys Major Shared Resource Center, and results verifying the installation are shown. The report concludes with appendices detailing MATLAB code for the phonon calculations, input decks for MPB, and an ancillary literature review of ferroelectric fatigue in crystals, which was a another topic of interest early in the internship. 1MATLAB is a registered trademark of The MathWorks.
Distribution: Approved for public release
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Last Update / Reviewed: June 1, 2007