Steady temperature in rectangular rod (edge-emitting laser)
This function computes T (x,y) in the cross-section of a multi-layer rectangular rod. Analytical solution of heat conduction equation.
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This function computes steady temperature T [K] in the cross-section of a multi-layer rectangular rod. The problem was considered in the context of heat flow in semiconductor laser of edge-emitting geometry.
The result is calculated according to analytical solution of 2D heat conduction equation obtained by separation of variables approach.
The following boundary conditions were chosen:
- isothermal condition at the bottom of the rod;
- thermally insulated side walls;
- convectively cooled upper surface.
The heat source is assumed to be an infinitely thin stripe o width w placed between layers nos. 1 and 2.
Example structure of GaAs/AlGaAs/GaAsP laser chip (without heat sink) consisting of 17 layers is entered.
The details of the model as well as schematic view of the system can be found in the references.
Cite As
Szymański, M., et al. “Two-Dimensional Model of Heat Flow in Broad-Area Laser Diode Mounted to a Non-Ideal Heat Sink.” Journal of Physics D: Applied Physics, vol. 40, no. 3, IOP Publishing, Jan. 2007, pp. 924–29, doi:10.1088/0022-3727/40/3/034.
Szymański, Michał. “Two-Dimensional Model of Heat Flow in Broad-Area Laser Diode: Discussion of the Upper Boundary Condition.” Microelectronics Journal, vol. 38, no. 6-7, Elsevier BV, June 2007, pp. 771–76, doi:10.1016/j.mejo.2007.04.008.
General Information
- Version 1.0.0 (3.44 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.0.0 |
