Temperature determination of thin sapphire substrates

Abstract
A technique is presented which allows for a noncontact temperature determination of thin sapphire substrates with ordinary laboratory instrumentation. The technique utilizes the property of expansion with temperature. A calibration curve of sapphire substrate temperature vs heater temperature is deduced. This calibration scheme can be used for other substrate materials which are transparent in the visible region such as fused silica, glass, and many crystals for which thermal expansion data are known.