Stability analysis of the simple laser model incorporating the statz - de mars rate equations
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 sho...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Malaysian Institute of Physics
1984
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34066/1/6.%2034066%20stability%20analysis.pdf http://psasir.upm.edu.my/id/eprint/34066/ |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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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