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Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 31,
  • Issue 13,
  • pp. 2223-2229
  • (2013)

Phase Retrieval From Transmission Spectrum for Long-Period Fiber Gratings

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Abstract

We demonstrate a method to retrieve the phase spectrum of a long-period fiber grating (LPFG) from its transmission spectrum. The method is based on the Hilbert transform that relates the minimum phase and the amplitude spectrum of a linear system, and is applicable to under-coupled LPFGs with arbitrary grating profiles. We verify the method with numerical examples and experiments. The method provides a simple and effective way to obtain the phase characteristics of LPFGs and thus complement the measured transmission spectra of the gratings.

© 2013 IEEE

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