From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools

Mathematical modeling of thermal behavior of edge-emitting lasers requires the usage of sophisticated time-consuming numerical methods like FEM (Finite Element Method) or very complicated 3D analytical approaches. In this work, we present an approach, which is based on a relatively simple 2D analyti...

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Autores principales:	Michał Szymański, Anna Kozłowska, Jens Tomm, Roman Huk, Andrzej Maląg, Marian Rusek
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	catastrophic optical damage edge-emitting laser heat conduction equation mirror temperature temperature distribution thermal analysis Technology T
Acceso en línea:	https://doaj.org/article/53e3406f4d7046f6a189658258cb2b6a
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spelling	oai:doaj.org-article:53e3406f4d7046f6a189658258cb2b6a2021-11-11T15:49:21ZFrom Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools10.3390/en142170061996-1073https://doaj.org/article/53e3406f4d7046f6a189658258cb2b6a2021-10-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/7006https://doaj.org/toc/1996-1073Mathematical modeling of thermal behavior of edge-emitting lasers requires the usage of sophisticated time-consuming numerical methods like FEM (Finite Element Method) or very complicated 3D analytical approaches. In this work, we present an approach, which is based on a relatively simple 2D analytical solution of heat conduction equation. Our method enables extremely fast calculation of two crucial physical quantities; namely, junction and mirror temperature. As an example subject of research, we chose self-made <i>p</i>-side-down mounted InGaAs/GaAs/AlGaAs laser. Purpose-designed axial heat source function was introduced to take into account various mirror heating mechanisms, namely, surface recombination, reabsorption of radiation, Joule, and bulk heating. Our theoretical investigations were accompanied by experiments. We used micro-Raman spectroscopy for measuring the temperature of the laser front facet. We show excellent convergence of calculated and experimental results. In addition, we present links to freely available self-written Matlab functions, and we give some hints on how to use them for thermal analysis of laser bars or quantum cascade lasers.Michał SzymańskiAnna KozłowskaJens TommRoman HukAndrzej MalągMarian RusekMDPI AGarticlecatastrophic optical damageedge-emitting laserheat conduction equationmirror temperaturetemperature distributionthermal analysisTechnologyTENEnergies, Vol 14, Iss 7006, p 7006 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	catastrophic optical damage edge-emitting laser heat conduction equation mirror temperature temperature distribution thermal analysis Technology T
spellingShingle	catastrophic optical damage edge-emitting laser heat conduction equation mirror temperature temperature distribution thermal analysis Technology T Michał Szymański Anna Kozłowska Jens Tomm Roman Huk Andrzej Maląg Marian Rusek From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools
description	Mathematical modeling of thermal behavior of edge-emitting lasers requires the usage of sophisticated time-consuming numerical methods like FEM (Finite Element Method) or very complicated 3D analytical approaches. In this work, we present an approach, which is based on a relatively simple 2D analytical solution of heat conduction equation. Our method enables extremely fast calculation of two crucial physical quantities; namely, junction and mirror temperature. As an example subject of research, we chose self-made <i>p</i>-side-down mounted InGaAs/GaAs/AlGaAs laser. Purpose-designed axial heat source function was introduced to take into account various mirror heating mechanisms, namely, surface recombination, reabsorption of radiation, Joule, and bulk heating. Our theoretical investigations were accompanied by experiments. We used micro-Raman spectroscopy for measuring the temperature of the laser front facet. We show excellent convergence of calculated and experimental results. In addition, we present links to freely available self-written Matlab functions, and we give some hints on how to use them for thermal analysis of laser bars or quantum cascade lasers.
format	article
author	Michał Szymański Anna Kozłowska Jens Tomm Roman Huk Andrzej Maląg Marian Rusek
author_facet	Michał Szymański Anna Kozłowska Jens Tomm Roman Huk Andrzej Maląg Marian Rusek
author_sort	Michał Szymański
title	From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools
title_short	From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools
title_full	From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools
title_fullStr	From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools
title_full_unstemmed	From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools
title_sort	from two- to three-dimensional model of heat flow in edge-emitting laser: theory, experiment and numerical tools
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/53e3406f4d7046f6a189658258cb2b6a
work_keys_str_mv	AT michałszymanski fromtwotothreedimensionalmodelofheatflowinedgeemittinglasertheoryexperimentandnumericaltools AT annakozłowska fromtwotothreedimensionalmodelofheatflowinedgeemittinglasertheoryexperimentandnumericaltools AT jenstomm fromtwotothreedimensionalmodelofheatflowinedgeemittinglasertheoryexperimentandnumericaltools AT romanhuk fromtwotothreedimensionalmodelofheatflowinedgeemittinglasertheoryexperimentandnumericaltools AT andrzejmalag fromtwotothreedimensionalmodelofheatflowinedgeemittinglasertheoryexperimentandnumericaltools AT marianrusek fromtwotothreedimensionalmodelofheatflowinedgeemittinglasertheoryexperimentandnumericaltools
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From Two- to Three-Dimensional Model of Heat Flow in Edge-Emitting Laser: Theory, Experiment and Numerical Tools

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