Fourier spectral theory of pulsed photothermal radiometry, signal analysis, and parametric measurements in two-layered media

Author:

Baradaran Shokouhi Elnaz12ORCID,Mandelis Andreas12ORCID

Affiliation:

1. Center for Advanced Diffusion-Wave and Photoacoustic Technologies (CADIPT), Department of Mechanical and Industrial Engineering, University of Toronto 1 , Toronto, Ontario M5S 3G8, Canada

2. Institute for Advanced Non-Destructive and Non-Invasive Diagnostic Technologies (IANDIT), University of Toronto 2 , Toronto, Ontario M5S 3G8, Canada

Abstract

A theoretical model of pulsed photothermal radiometry based on conduction-radiation theory is introduced for a two-layered medium with a first layer having optical and thermal properties different from those of the semi-infinite substrate. This geometry closely represents the optical and thermal properties of biotissues, a major intended application. The theory derives the spatial distribution of the frequency spectrum of the pulsed photothermal signal from the composite two-layer boundary-value problem and matches the spectral frequency domain results to the measured photothermal transients through an efficient inverse Fourier transformation algorithm, which involves the optical, thermal, and geometric parameters of the experimental system. This approach avoids the complicated and computationally expensive analytical Laplace transform approach usually adopted in similar studies and yields a complete conduction–radiation description of photothermal signals without simplifying, yet restrictive, approximations encountered in the literature. Numerical and experimental tests of the model using intralipid solution as layer 1 and semi-infinite solid samples such black rubber and anodized aluminum as layer 2 of the medium are described. The radiation heat transfer coefficients from the air–intralipid and intralipid–solid interfaces were introduced to complement the conductive blackbody-radiated infrared signal component at the detecting camera. The best-fitted parameters and heat transfer coefficients are compared to theoretical and experimental data, and the results of these tests were found to be consistent with the theoretical model.

Funder

Natural Sciences and Engineering Research Council of Canada Discovery Grants Program

Canada Foundation for Innovation Research Chairs Program

NSERC-Collaborative Research and Training Experience

Publisher

AIP Publishing

Subject

General Physics and Astronomy

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