A fiber Bragg grating consists of a periodic modulation of the refractive index in the core of a single-mode optical fiber. These types of uniform fiber gratings, where the phase fronts are perpendicular to the fiber’s longitudinal axis with grating planes having constant period
Dear Raed A. Hasan could you elaborate the question pls? I mean what changes are you talking about? Is it changes of periodicity due to external parameters or changes of internal property?
So, as I understand you right, you are asking the following question:
What is the effect of changing the length of a uniform fiber Bragg grating (https://en.wikipedia.org/wiki/Fiber_Bragg_grating)?
So, I try to answer this question:
When light is send through the fiber with fiber Bragg grating (FBG), it reflects a specific wavelength, which is determined by the refractive index and the grating period. So in the spectrum of the reflected light you will observe a peak.
Changing the FBG length will change the reflected peak of the FBG. The Full-Width-Half-Maximum (FWHM) for example, is influenced by the FBG length. Moreover, the FBG length also influences the reflectivity.
You find more information here:
Article Optimization of fiber Bragg grating length for maximum reflectivity
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