2000
DOI: 10.1063/1.373538
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Mathematical modeling of thermal runaway in semiconductor laser operation

Abstract: A mathematical model describing the coupling of electrical, optical and thermal effects in semiconductor lasers is introduced. Through a systematic asymptotic expansion, the governing system of differential equations is reduced to a single second-order boundary value problem. This highly nonlinear equation describes the time-independent maximum temperature in the boundary layer adjacent to the mirror facet. The solution of the problem is a multi-valued function of current. The graph of the maximum steady-state… Show more

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Cited by 18 publications
(18 citation statements)
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References 11 publications
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“…From comparison with NFs at low currents (2 A) we were able to determine the onset of this reduction by two to three orders of magnitude taking place approximately 100 ns to 200 ns after the pulse starts, 3 in good agreement with theoretical predictions. 1,6,7 Estimation of the Critical Facet Temperature Closer inspection of Fig. 2g reveals a maximum in the NF intensity at the left device side at 1.84 A, even larger than the one that actually leads to COMD at 2.04 A.…”
Section: Combination Of Thermography and Near-field Datamentioning
confidence: 98%
“…From comparison with NFs at low currents (2 A) we were able to determine the onset of this reduction by two to three orders of magnitude taking place approximately 100 ns to 200 ns after the pulse starts, 3 in good agreement with theoretical predictions. 1,6,7 Estimation of the Critical Facet Temperature Closer inspection of Fig. 2g reveals a maximum in the NF intensity at the left device side at 1.84 A, even larger than the one that actually leads to COMD at 2.04 A.…”
Section: Combination Of Thermography and Near-field Datamentioning
confidence: 98%
“…In 1979, Henry et al [6] published a comprehensive work addressing COD, its root causes, and the expected kinetics. Most of the ideas presented in these early studies are still valid and describe COD to be jump-started by a fast thermal runaway [6], which is initialized by an elevated facet temperature, and eventually results in a microexplosion [8][9][10]. The thermal runaway phenomenon with the critical temperature has been for first time measured by Tang et al [11] with an external heating source.…”
Section: Cod and Thermal Runawaymentioning
confidence: 99%
“…For the heterostructure described above, t COD -values down to 2 ns have been predicted for currents of 50 A. More recent numerical simulations were reported by Smith [10]. For the particular parameters used t COD -values of 10 ns are determined, while the thermal runaway is predicted to be very fast, namely ΔT > 300 K in less than 1 ns.…”
Section: Theory and Modeling Of The Kineticsmentioning
confidence: 99%
“…Local temperature increase plays a paramount role in the occurrence of the laser degradation; therefore, the temperature measurement of the active zone of the laser during operation is a critical issue to assess the degradation mechanism. The occurrence of a local critical temperature (Tc, which, once reached, launches the COD process, has been reported by different authors [1][2][3][4] and has been tentatively explained in terms of various physical-mathematical models [5][6][7][8]. Experimental measurements in lasers under operation give Tc values ranging from 120ºC to 200ºC…”
Section: Introductionmentioning
confidence: 99%