Three-dimensional thermal analysis of wirelessly powered light-emitting systems

Y. H. Zhang, Y. H. Li, R. H. Kim, H. Tao, T. I. Kim, F. G. Omenetto, J. A. Rogers, Y. Huang

Research output: Contribution to journalArticlepeer-review


A theoretical model of heat conduction is developed for wirelessly powered microscale inorganic light-emitting diodes (m-ILEDs). Analytical solutions are obtained for the threedimensional temperature distribution of each component in the system, which agree reasonably well with the finite-element analyses and experiment results. A simplified scaling law is presented between the non-dimensional temperature of the m-ILEDs, and the combined geometrical parameters and thermal conductivities of the inductive receiver coil and the substrate. These results provide useful design guidelines for avoiding adverse heating of wireless m-ILEDs systems, of critical importance for bio-implanted applications.

Original languageEnglish (US)
Pages (from-to)4088-4097
Number of pages10
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2148
StatePublished - Dec 8 2012
Externally publishedYes


  • Gallium nitride
  • Solid-state lighting
  • Thermal analysis
  • Wireless power

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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