Novel algorithm for synthesis of fiber gratings

Abstract

A novel algorithm for the synthesis of fiber gratings is presented. For the first time we propose an effective optimal approach to construct a coupling coefficient function by employing 4th-order Runge-Kutta (R-K) analysis method for calculating the reflection spectra of fiber gratings. The numerical results show that with this proposed method, some required optical filters have been yielded with better features compared with other methods such as Gel’Fand-Levitan-Marchenko (GLM) algorithm. In addition, the performance of different interpolation functions particularly utilized in our algorithm, including linear-type, spline-type, and Hermit-type, are discussed in detail.

Keywords

gratings / inverse problem / synthesis algorithm,coupling coefficient function / interpolation functions / apodization

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Acknowledgements

This work was supported by the National Science Foundations of Beijing (Grant No. 4062027) and the National High Technology Research and Development Program (863) of China (No. 2007AA01Z258).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg