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IMA Journal of Applied Mathematics 1999 63(1):1-36; doi:10.1093/imamat/63.1.1
© 1999 by Institute of Mathematics and its Applications
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The single-mode rate equations for semiconductor lasers with thermal effects

WR Smith, JR King, B TuckA and JW OrtonA

Department of Theoretical Mechanics, A Department of Electrical and Electronic Engineering, University of Nottingham, Nottingham NG7 2RD, UK

A mathematical model describing the coupling of electrical, optical and thermal effects in semiconductor lasers is introduced. Numerical and asymptotic solutions are derived, including expressions for key physical quantities such as the initial time delay, the frequency of spike oscillation and the temperature rise, together with its influence on the photon density, the electron concentration and the threshold current. The consequences of thermal effects in reducing efficiency are thus quantified.


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