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Title: Fast analyses and designs of long-period fiber grating devices with cosine-class apodizations by using Fourier mode coupling theory
Authors: Zeng, X
Wei, L
Keywords: Gratings
Fiber optics
Wave propagation
Issue Date: 1-Nov-2013
Publisher: Optical Society of America
Source: Applied optics, 1 Nov. 2013, v. 52, no. 31, p. 7609-7617 How to cite?
Journal: Applied optics 
Abstract: This paper presents an analytical approach to fast analyzing and designing long-period fiber grating (LPFG) devices with cosine-class apodizations by using the Fourier mode coupling (FMC) theory. The LPFG devices include LPFGs, LPFG-based in-fiber Mach-Zehnder and Michelson interferometers, which are apodized with the cosine-class windows of cosine, raised-cosine, Hamming, and Blackman. The analytic models (AMs) of the apodized LPFG devices are derived from the FMC theory, which are compared with the preferred transfer matrix (TM) method to confirm their efficiencies and accuracies. The AM-based analyses are achieved and verified to be accurate and efficient enough. The AM-based analysis efficiency is improved over 1318 times versus the TM-based one. Based on the analytic models, an analytic design algorithm is proposed and then applied to designing these LPFG devices, which has the complexity of O(N) and is far faster than the existing design methods.
ISSN: 1559-128X
EISSN: 2155-3165
DOI: 10.1364/AO.52.007609
Rights: © 2013 Optical Society of America
This paper was published in Applied Optics 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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