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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 9 — Apr. 25, 2011
  • pp: 8254–8266

Numerically extrapolated discrete layer-peeling algorithm for synthesis of nonuniform fiber Bragg gratings

Youngchol Choi, Joohwan Chun, and Jinho Bae  »View Author Affiliations


Optics Express, Vol. 19, Issue 9, pp. 8254-8266 (2011)
http://dx.doi.org/10.1364/OE.19.008254


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Abstract

The discrete layer-peeling algorithm (DLPA) requires to discretize the continuous medium into discrete reflectors to synthesize nonuniform fiber Bragg gratings (FBG), and the discretization step of this discrete model should be sufficiently small for synthesis with high accuracy. However, the discretization step cannot be made arbitrarily small to decrease the discretization error, because the number of multiplications needed with the DLPA is proportional to the inverse square of the layer thickness. We propose a numerically extrapolated time domain DLPA (ETDLPA) to resolve this tradeoff between the numerical accuracy and the computational complexity. The accuracy of the proposed ETDLPA is higher than the conventional time domain DLPA (TDLPA) by an order of magnitude or more, with little computational overhead. To be specific, the computational efficiency of the ETDLPA is achieved through numerical extrapolation, and each addition of the extrapolation depth improves the order of accuracy by one. Therefore, the ETDLPA provides us with computationally more efficient and accurate methodology for the nonuniform FBG synthesis than the TDLPA.

© 2011 OSA

OCIS Codes
(290.3200) Scattering : Inverse scattering
(070.2025) Fourier optics and signal processing : Discrete optical signal processing
(060.3735) Fiber optics and optical communications : Fiber Bragg gratings

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: February 17, 2011
Revised Manuscript: March 19, 2011
Manuscript Accepted: March 26, 2011
Published: April 14, 2011

Citation
Youngchol Choi, Joohwan Chun, and Jinho Bae, "Numerically extrapolated discrete layer-peeling algorithm for synthesis of nonuniform fiber Bragg gratings," Opt. Express 19, 8254-8266 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-9-8254


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