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Phase-modified coupled mode theory for calculation of fiber Bragg grating Fabry-Perot cavity transmission spectrum

Wang Yan-Hua Ren Wen-Hua Liu Yan Tan Zhong-Wei Jian Shui-Sheng

Phase-modified coupled mode theory for calculation of fiber Bragg grating Fabry-Perot cavity transmission spectrum

Wang Yan-Hua, Ren Wen-Hua, Liu Yan, Tan Zhong-Wei, Jian Shui-Sheng
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  • Abstract views:  4163
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  • Received Date:  15 December 2007
  • Accepted Date:  20 March 2008
  • Published Online:  20 October 2008

Phase-modified coupled mode theory for calculation of fiber Bragg grating Fabry-Perot cavity transmission spectrum

  • 1. 北京交通大学光波技术研究所,全光网络与现代通信网教育部重点实验室,北京 100044

Abstract: Based on the influence of reflection phase of fibre Bragg grating on the transmission spectrum of fibre Bragg grating(FBG) Fabry-Perot cavity, the reason for the error of traditional coupled mode theory when calculating the reflection phase of uniform FBG is analyzed. A parameter of initial phase of effective index distribution is introduced to describe the slight offset of the index distribution of FBG in the longitudinal direction, and the real reflection and transmission coefficients are substituted for the simplified coefficients to modify the traditional coupled mode theory by introducing a phase factor, which is related with the initial phase of effective index distribution and independent of wavelength. The phase of transfer matrix method for nonuniform FBG is further modified. The modified fast calculation results are used to calculate the transmission spectrum of FBG F-P cavity and show the influence of initial phase of effective index distribution on the wavelength offset of FBG Fabry-Perot cavity transmission peaks. The results agree with those of Rouard method and experimental values.

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