Group delay in Bragg grating with linear chirp

Details Group delay in Bragg grating with linear chirp Group delay in Bragg grating with linear chirp

2006-04-11

arxiv.org/abs/physics/0604091v1

Physics

Optics

16 pages, 8 figures, submitted to Opt. Comm

Scientific paper

10.1016/j.optcom.2006.05.032

An analytic solution for Bragg grating with linear chirp in the form of confluent hypergeometric functions is analyzed in the asymptotic limit of long grating. Simple formulas for reflection coefficient and group delay are derived. The simplification makes it possible to analyze irregularities of the curves and suggest the ways of their suppression. It is shown that the increase in chirp at fixed other parameters decreases the oscillations in the group delay, but gains the oscillations in the reflection spectrum. The conclusions are in agreement with numerical calculations.

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