Here is the link of the optiwave sample for dispersion compensation using FBG

Compensation of Dispersion with Fiber Bragg Grating Component

It demonstrates the possibility for dispersion compensation with the help of fiber Bragg Grating created with the Fiber Grating component. This component allows design of apodized and chirped fiber gratings that are able to provide dispersion compensation in optical system.The physical idea behind this compensation is following: creating of an apodised linear chirped grating allows us to create a time delay between different spectral components of the signal.For example, in SMF at 1.55μm, group velocity dispersion creates a negative chirp of the pulses, which means that the higher frequencies (which propagate faster) are in the leading part of the pulse and the lower (propagating slower) in the trailing one because of this different velocity of propagation of different spectral components, the pulse spreads. If we create fiber grating with period linearly reducing along the grating, because the higher frequencies will reflect after longer propagation in the grating a time delay between lower and higher frequency components will appear which is just opposite to this created in the SMF. Therefore propagating and reflecting our pulse in this device will allow to compensate the dispersion broadening of our pulse.
You may refer to this link and it will surely be of some help.
Thanks