Paper
7 July 1998 Rate equation description of distributed-feedback laser dynamics
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Abstract
A simple optical rate equation for a distributed feedback laser is derived following an analytical procedure that is based on transforming a known integral equation into an equivalent differential equation. Using this equation to model fluctuations in the phase and photon number, when supplemented with a rate equation for the carrier number expressions for the relaxation oscillation characteristics and linewidth are derived. We find that in a simple distributed feedback structure the relation for the relaxation oscillation frequency is identical to that of the Fabry-Perot laser. An effective linewidth-broadening factor is predicted showing strong dependence on longitudinal hole- burning. Power re-broadening of the linewidth and a nearly vanishing power-independent component are predicted. Finally, rate equations for injection-locking are derived, and a symmetric dynamically stable locking band predicted.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Erik J. Bochove "Rate equation description of distributed-feedback laser dynamics", Proc. SPIE 3283, Physics and Simulation of Optoelectronic Devices VI, (7 July 1998); https://doi.org/10.1117/12.316739
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KEYWORDS
Laser resonators

Resonators

Fabry–Perot interferometers

Modulation

Semiconductor lasers

Differential equations

Laser applications

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