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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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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my.upm.eprints.340662015-04-22T08:23:55Z http://psasir.upm.edu.my/id/eprint/34066/ Stability analysis of the simple laser model incorporating the statz - de mars rate equations Yap, C. L. Poh, B. S. 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. Malaysian Institute of Physics 1984 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34066/1/6.%2034066%20stability%20analysis.pdf 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 |
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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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Article |
author |
Yap, C. L. Poh, B. S. |
spellingShingle |
Yap, C. L. Poh, B. S. Stability analysis of the simple laser model incorporating the statz - de mars rate equations |
author_facet |
Yap, C. L. Poh, B. S. |
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Yap, C. L. |
title |
Stability analysis of the simple laser model incorporating the statz - de mars rate equations |
title_short |
Stability analysis of the simple laser model incorporating the statz - de mars rate equations |
title_full |
Stability analysis of the simple laser model incorporating the statz - de mars rate equations |
title_fullStr |
Stability analysis of the simple laser model incorporating the statz - de mars rate equations |
title_full_unstemmed |
Stability analysis of the simple laser model incorporating the statz - de mars rate equations |
title_sort |
stability analysis of the simple laser model incorporating the statz - de mars rate equations |
publisher |
Malaysian Institute of Physics |
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1984 |
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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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