Title
Design considerations for narrow-band dielectric resonant grating reflection filters of finite length
Abbreviated Journal Title
J. Opt. Soc. Am. A-Opt. Image Sci. Vis.
Keywords
WAVE-GUIDE STRUCTURES; LINE-SHAPES; TRANSMISSION; SCATTERING; ANOMALIES; LAYER; Optics
Abstract
An interference-waveguide approach is developed to predict the response of a resonant grating reflection filter and to provide a better understanding of the resonant process. An expression for the reflected field that accounts for all internal boundary reflections within the filter is developed. Under the assumption of an anti-reflective design, expressions characterizing the line shape of a filter of infinite length are first developed; then the effects of finite length on the response are determined. Expressions relating the length of the filter to the peak reflection efficiency and line width are developed. The degradation of the response as a function of filter length is evaluated. An equivalent waveguide representation is used to determine the location of the resonance as well as the spectral and angular linewidths of the filter. The minimum obtainable spectral linewidth for a filter of given length is determined to be on the order of Delta lambda similar to lambda(2)/L. Rigorous analysis is used to verify the interference-waveguide approach. (C) 2000 Optical Society of America [S0740-3232(00)01507-6] OCIS code: 050.1950.
Journal Title
Journal of the Optical Society of America a-Optics Image Science and Vision
Volume
17
Issue/Number
7
Publication Date
1-1-2000
Document Type
Article
Language
English
First Page
1241
Last Page
1249
WOS Identifier
ISSN
0740-3232
Recommended Citation
"Design considerations for narrow-band dielectric resonant grating reflection filters of finite length" (2000). Faculty Bibliography 2000s. 2623.
https://stars.library.ucf.edu/facultybib2000/2623