Analytic method for fast design of aperiodic fiber Bragg grating devices

Xiangkai Zeng; Yanbin Sun; Shuaijun Nan

doi:10.1117/1.OE.57.11.117111

22 November 2018 Analytic method for fast design of aperiodic fiber Bragg grating devices

Xiangkai Zeng, Yanbin Sun, Shuaijun Nan

Author Affiliations +

Optical Engineering, Vol. 57, Issue 11, 117111 (November 2018). https://doi.org/10.1117/1.OE.57.11.117111

Abstract

An analytic method for fast design of aperiodic fiber Bragg grating (AFBG) devices by use of Fourier mode coupling (FMC) theory is presented. AFBG devices, which are often used in practice, include the superstructure, phase-shifted FBG, and the apodized FBGs with Gauss, cosine, raised-cosine, Hamming, or Blackman windows, and include the in-fiber Fabry–Pérot cavities formed by two AFBGs. The analytic solutions to the reflectivities of these AFBG devices are obtained on the basis of FMC theory, from which closed-form expressions for the relation between the AFBG structure parameters and their reflection properties are derived. According to these expressions, an analytic algorithm is established to quickly design AFBG devices with the desired reflection properties, which has linear complexity. The design of each AFBG device was achieved in ∼50 ms on a general PC, and the reflection properties of the designed AFBG device were confirmed by using the transfer matrix method. This indicates that the analytic design methods proposed are highly efficient and sufficiently accurate.

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Xiangkai Zeng, Yanbin Sun, and Shuaijun Nan "Analytic method for fast design of aperiodic fiber Bragg grating devices," Optical Engineering 57(11), 117111 (22 November 2018). https://doi.org/10.1117/1.OE.57.11.117111

Received: 8 May 2018; Accepted: 29 October 2018; Published: 22 November 2018

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KEYWORDS

Fiber Bragg gratings

Reflectivity

Picosecond phenomena

Sun

Optical design

Fourier transforms

Optical engineering

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