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Title: Proposal and analysis of digital concatenated gratings
Authors: He, X
Huang, D
Yu, Y
Wang, D 
Issue Date: 1-Jul-2008
Source: Journal of the Optical Society of America. A, Optics, image science, and vision, 1 July 2008, v. 25, no. 7, p. 1629-1633
Abstract: A digital concatenated grating composed of five subgratings is proposed. Essential formulas on Bragg periods of subgratings and an analytical expression for the reflection-spectrum envelope are presented, which show how to use reflection-spectrum envelopes to construct a digital concatenated grating with uniform reflection peaks. For a perfect design, the spectral center separation of adjacent Bragg gratings will be chosen as the integral times of the reflectivity peaks’ spacing. Gaussian apodization on the whole profile grating not only eliminates the sidelobes of each reflection peak but also provides a better flat reflection-spectrum envelope than that of the digital concatenated Gaussian-apodized grating.
Keywords: Digital arithmetic
Trellis codes
Publisher: Optical Society of America
Journal: Journal of the Optical Society of America. A, Optics, image science, and vision 
ISSN: 1084-7529
EISSN: 1520-8532
DOI: 10.1364/JOSAA.25.001629
Rights: © 2008 Optical Society of America. This paper was published in Journal of the Optical Society of America A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
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