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Stability analysis of the simple laser model incorporating the statz - de mars rate equations


Citation

Yap, C. L. and Poh, B. S. (1984) Stability analysis of the simple laser model incorporating the statz - de mars rate equations. Jurnal Fizik Malaysia, 5. pp. 67-74. ISSN 0128-0333

Abstract

A stability analysis is performed on the simple laser model which incorporates the Statz-de Mars rate equations. This is done by linearising the rate equations, operating the Laplace transform, and finally applying the Hurwitz Criterion of Stability. By this simple procedure, it is-conclusively shown that the laser model is always stable regardless of whether a linear gain or a logarithmic gain is used. even when lateral carrier diffusion is taken into account. An expression for the resonance fre- quency of the laser model using logarithmic gain, and excluding carrier diffusion, is derived. It is shown t~t when the gain coefficient constant, 13, equals the value .l/Tp, where Tp is the photon life- time, the resonance frequency reduces to that of the model where a linear gain is used. It has been found also that lateral carrier diffusion increases the damping of the relaxation oscillations of the laser.


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Additional Metadata

Item Type: Article
Divisions: Universiti Pertanian Malaysia
Publisher: Malaysian Institute of Physics
Keywords: Laser
Depositing User: Azhar Abdul Rahman
Date Deposited: 22 Apr 2015 08:23
Last Modified: 22 Apr 2015 08:23
URI: http://psasir.upm.edu.my/id/eprint/34066
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