Barothermal Theory of Two Devices for Measuring Absorption Coefficients

Area of Science:

• Materials Science
• Thermal Physics
• Optical Properties

Background:

• Accurate measurement of absorption coefficients is crucial for understanding material properties.
• Existing methods may have limitations for weakly absorbing or specific sample geometries.
• Barothermal effects, related to heat diffusion and material response, are key to proposed measurement techniques.

Purpose of the Study:

• To propose and theoretically analyze two new devices for measuring absorption coefficients.
• To develop mathematical models for the thermal behavior of these devices.
• To investigate the application of Green's function techniques for analyzing cyclic thermal processes.

Main Methods:

• Derivation of steady-state and transient solutions to heat diffusion equations.
• Application of Green's function techniques to model cyclic heating and cooling.
• Theoretical analysis of barothermal behavior in proposed measurement devices.

Main Results:

• Formulation of heat diffusion equations for cylindrical and flat plate/disk samples.
• Development of analytical solutions describing device performance under steady-state and transient conditions.
• Green's function approach provides a framework for understanding dynamic thermal responses.

Conclusions:

• The proposed devices offer potential for measuring absorption coefficients in weakly absorbing materials.
• The derived theoretical models provide a basis for device design and experimental validation.
• The study advances the understanding of barothermal measurements for material characterization.