Hi Zulkarnain,
There are various techniques though which you can compensate dispersion, the following are among them:
1. Dispersion Compensating fibers (DCFs): This is a kind of fiber which has a negative dispersion coefficient so you can use it before or after the fiber, just manually calculate the single mode fiber (SMF) dispersion and accordingly connect the required length of the DCF and eliminate dispersion effect. Pre-, post-, and symmetrical-compensation can be done by using DCF.
2. Dispersion compensation by using fiber brag grating: This component allows design of apodized and chirped fiber gratings that are able to provide dispersion compensation in optical system. The idea is to create a time delay between different spectral components of the signal. Because of this different velocity of propagation of different spectral components, the pulse spreads, so we need to 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.
These two are the most easiest technique. and you will find samples using various techniques.
Regards,
Dhiman