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An analytical model of intermodulation distortion and chirp in cable television (CATV) distributed feedback laser diodes was presented. Longitudinal spatial hole burning was compared to gain compression over the CATV band. Results showed that the effects of longitudinal spatial hole burning on chirp and distortion were significant in actual lasers. In addition, the entire CATV band was affected by the nonhomogenous distribution of the photon along the cavity.

Theoretical studies involving cross- and time-covariance functions of the variables controlling Langevin noise sources help examine the noise in semiconductor lasers. Analytical expressions represent frequency noise, carrier noise spectrum, the AM and FM noise and the phase change modification. Approximations of the phase dynamics require the inclusion of the shot noise factor in addition to carrier contributions.

A novel analytical model, associated with Volterra nonlinear functionals, describes the internal parameters and transmission characteristics of semiconductor lasers. This model generates output expressions of such forms of input as multiple frequency and step function. These lasers are essential for broadband fiber optic communication.