Analytic description of a homogeneously broadened injection laser: extension to include a waveguide scattering absorption loss

Journal Article · Mon Oct 01 04:00:00 EDT 1984 · IEEE J. Quant. Electron.; (United States)

DOI:https://doi.org/10.1109/JQE.1984.1072282· OSTI ID:6032238

Cassidy, D T

An approximate analytic model of a homogeneously broadened injection laser is presented. The model is based on solutions to differential equations which describe the steady-state amplification of the modes for unidirectional propagation through a homogeneously broadened gain medium. The gain medium is characterized by independently adjustable gain, saturation, and spontaneous-emission profiles for each mode and a waveguide scattering/absorption loss ..cap alpha.. which is constant for all modes. The approximate nature of the laser model is due to neglect of the counter propagating intensity. This beam had to be neglected in order to find analytic solutions to the coupled, nonlinear differential equations. In the limit of ..cap alpha.. = 0, the model is exact, thus one expects that the model is accurate for small values of ..cap alpha... To verify these expectations, the predictions of the analytic model are compared with results obtained from a numerical integration of the equations for bidirectional propagation through the amplifier. It is found that for ..cap alpha..l less than or equal to 4 (l is the length of the laser) the results of the analytic model agree with the results of the numerical integration to within approx. = 10 percent.

• Research Organization: Department of Communications, Communications Research Centre, Ottawa, Ont. K2H 8S2, Canada
• OSTI ID: 6032238
• Journal Information: IEEE J. Quant. Electron.; (United States), Journal Name: IEEE J. Quant. Electron.; (United States) Vol. QE-20:10; ISSN IEJQA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
ABSORPTION
AMPLIFICATION
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
EMISSION
EQUATIONS
GAIN
LASERS
MATHEMATICAL MODELS
PHOTON EMISSION
SATURATION
SCATTERING
SEMICONDUCTOR DEVICES
SEMICONDUCTOR LASERS
STATISTICAL MODELS
STEADY-STATE CONDITIONS
WAVE PROPAGATION
WAVEGUIDES