Modelling of fiber Bragg grating-amplifier by the method of single expression

Summary form only given. Single-mode fiber Bragg gratings (FBGs) are one of the key elements of contemporary fiber optics communication systems. They serve as multichannel add/drop filters, spectrum flattening filters, stretchers and compressors, dispersion compensators, etc. The attractiveness of such devices becomes greater when they combine filtering properties by exhibiting narrow spectral band with amplification. Such devices are called fiber Bragg gratings-amplifiers. A fiber Bragg grating-amplifier can be realized as an erbium-doped silica fiber, in which the permittivity is modulated along a fiber accordingly to any periodical law. This type of active structures is also possible in a semiconductor configuration, i.e. for semiconductor optical amplifiers in a DFB (distributed feedback) configuration. By using the method of single expression (MSE) detailed investigations are carried out for different types of Bragg gratings. An analysis was carried out for grating without loss or gain. Excellent results were obtained for uniform gratings in accordance with existing results