Non-uniform amplifying Bragg gratings' computer simulation by the method of single expression

It is well-known that for the realization of narrow-band optical filters, multilayer and modulated media are used. Including amplification in such media gives the possibilities to obtain narrow-band optical amplification. In the present paper non-uniform fiber Bragg gratings (FBGs) are the subject of investigation. The devices, which rely on a combination of narrow-band filtering and amplifying properties, will find application in contemporary DWDM systems.