Thermal resistance of heat sinks with temperature-dependent conductivity

TLDR: Kirchhoff's transformation is summarised in a form appropriate for semiconductor-device heat sinks and then illustrated with a brief application to the thermal resistance of a GaAs laser.

Abstract: Kirchhoff's transformation is summarised in a form appropriate for semiconductor-device heat sinks and then illustrated with a brief application to the thermal resistance of a GaAs laser. Under the most common semiconductor boundary conditions his transformation immediately converts the steady-state linear temperature rise (based on a temperature-independent conductivity σ 0 ) of a uniform heat sink of any shape into the nonlinear rise [based on a temperature-dependent conductivity σ ( T ) of any functional form].