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

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