A thermal analysis of the operation of microscale, inorganic light-emitting diodes

Chaofeng Lu, Yuhang Li, Jizhou Song, Hoon Sik Kim, Eric Brueckner, Bo Fang, Keh Chih Hwang, Yonggang Huang, Ralph G. Nuzzo, John A. Rogers

Research output: Contribution to journalArticlepeer-review


An analytical model is developed to study the thermal properties of microscale, inorganic light-emitting diodes (μ-ILEDs) with ultra-thin geometries and layouts. The predicted surface and μ-ILED temperatures agree well with experiments and finite-element simulations. A simple scaling law is obtained for the normalized μ-ILED temperature versus the normalized μ-ILED size. This study provides a theory to guide the design of layouts that minimize adverse thermal effects on the performance of μ-ILEDs not only for solid-state lighting but also for applications integrating μ-ILED devices on complex/soft substrate as are currently of interest in optogenetics and other emerging areas in biology.

Original languageEnglish (US)
Pages (from-to)3215-3223
Number of pages9
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2146
StatePublished - Oct 8 2012


  • Gallium nitride
  • Solid-state lighting
  • Thermal analysis

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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