尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!


Theory of Fourier mode coupling for fiber Bragg gratings

Zeng Xiang-Kai Rao Yun-Jiang

Theory of Fourier mode coupling for fiber Bragg gratings

Zeng Xiang-Kai, Rao Yun-Jiang
Get Citation
  • Abstract views:  4683
  • PDF Downloads:  1147
  • Cited By: 0
Publishing process
  • Received Date:  02 November 2009
  • Accepted Date:  17 May 2010
  • Published Online:  15 December 2010

Theory of Fourier mode coupling for fiber Bragg gratings

  • 1. (1)Key Laboratory of Manufacture and Test Techniques for Automobile Parts of Ministry of Education, School of Electronic Information and Automation, Chongqing University of Technology, Chongqing 400050, China; (2)Key Laboratory of Optoelectronic Technology and Systems of Ministry of Education, Chongqing University, Chongqing 400044, China;Key Laboratory of Optical Fiber Sensing and Communications of Ministry of Education, University of Electronic Science and Techn

Abstract: A novel theory, namely, Fourier mode coupling (FMC) theory for fiber Bragg gratings (FBGs) is proposed in this paper. During analyzing coupled modes of FBGs, the Fourier transform relations among the amplitude coefficients of coupled modes are found for the first time. The general expressions of reflective and transmissive spectra of FBGs are deduced from the combination of Fourier transform with the well-known coupled-mode theory. In the proposed FMC theory, the spectral characteristics of the FBG are achieved by the calculation of coupled modes in the spatial domain spectrum, which is the Fourier transform result of refractive index perturbation in the FBG. The FBG spectrum based on the FMC theory is simulated here, and compared with those obtained from the coupled mode theory and pure Fourier transform. The comparison shows that the FMC theory for and the derived spactra of FBGs are in accordance with the coupled mode theory and the practical spectra of the FBG respectively. The FMC theory has many features, these being simple, clear, direct, accurate and fast, which could be used as a universal tool for fast spectrum analysis of any FBG with an arbitrary distribution of refractive index perturbation along the fiber axis.

Reference (24)