Analytic description of a homogeneously broadened injection laser - Extension to include a waveguide scattering/absorption loss

Cassidy (1984) has presented an analytic model for predicting the steady-state spectral output of a homogeneously broadened injection laser. The model has a number of advantages. However, there is also one deficiency which is related to the neglect of a nonsaturating, waveguide scattering/absorption loss alpha. The present investigation is, therefore, concerned with the development of a steady-state analytic laser model which includes a nonzero waveguide scattering/absorption loss alpha. The model is based on analytic solutions to differential equations which describe the growth of the mode intensities for unidirectional propagation through a homogeneously broadened amplifying medium. The amplifying medium is characterized by independently adjustable gain, saturation, and spontaneous emission profiles for each mode, and a scattering/absorption loss term alpha which is the same for all modes.