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Barothermal Theory of Two Devices for Measuring Absorption Coefficients.

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|March 19, 2020
PubMed
Summary

This study introduces two novel devices for measuring absorption coefficients in weakly absorbing materials. Mathematical models were derived to analyze their thermal behavior during cyclic heating and cooling.

Keywords:
Absorption coefficientsGreen’s functionbarothermaĺ behaviorheat diffusionweakly absorbing materials

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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.