Mathematical modelling for opto-thermal measurements on optical and thermal gradient materials

Abstract

We present a theoretical study for opto-thermal measurements on non-homogenerous materials, namely the optical gradient materials and the thermal gradient materials. We first present a general opto-thermal mathematical model for gradient materials. Then, we discuss the effects of non-homogenerous optical properties and thermal properties in initial temperature depth profiles, Green's function, transient temperature field and opto-thermal signals.

Keywords:

• Opto-thermal radiometry
• Laser
• Mathematical modeling
• Optical properties
• Thermal properties
• Non-homogeneous

Acknowledgements

The authors thank EPSRC, London South Bank University and Unilever for the financial support. We also thank CVCP for the ORS award to student Y. Cui.