Thermal analysis: VCSELs on an SiOB

C. C. Chen, Y. C. Chen, Chin Ta Chen, Hsu Liang Hsiao, Chia Chi Chang, Y. T. Cheng, Mount Learn Wu

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper introduces a method combining a general electrothermal network π-model in system level and the associated mathematical technique, Greens theorem, in terms of the adopted materials and system geometries to build up an equivalent electrothermal circuit model (EETCM) for efficient thermal analysis and behavior prediction in a thermal system. Heat conduction and convection equations in integral forms are derived using the theorem and successfully applied for the thermal analysis of a 3-D optical stack, vertical-cavity surface-emitting lasers (VCSELs) on a silicon optical bench. The complex stack structure in conventional simulators can be greatly simplified using the method by well-predicting probable heat flow paths, and the simplification can eventually achieve the goal of CPU time saving without having complicated mesh designing or scaling. By comparing the data from the measurement, the finite-element simulation, and the method calculation shows that an excellent temperature match within ±∼0.5° C and 90% CPU time saving can be realized.

Original languageEnglish
Article number5669328
Pages (from-to)531-539
Number of pages9
JournalIEEE Journal on Selected Topics in Quantum Electronics
Issue number3
StatePublished - May 2011


  • 3-D optical stacks
  • Greens theorem
  • conduction
  • convection
  • equivalent electrothermal circuit model (EETCM)
  • general electrothermal network -model
  • heat transfer equation
  • silicon optical bench (SiOB)
  • thermal management
  • vertical-cavity surface-emitting laser (VCSEL)


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