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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