INSTITUTE OF PHYSICS PUBLISHING PHYSICS IN MEDICINE AND BIOLOGY
Phys. Med. Biol. 52 (2007) 1089–1101 doi:10.1088/0031-9155/52/4/015
Re-evaluation of pulsed photothermal radiometric
profiling in samples with spectrally varied infrared
absorption coefficient
Boris Majaron and Matija Milaniˇ c
Jožef Stefan Institute, Jamova 39, SI 1000 Ljubljana, Slovenia
E-mail: boris.majaron@ijs.si and matija.milanic@ijs.si
Received 23 August 2006, in final form 10 November 2006
Published 25 January 2007
Online at stacks.iop.org/PMB/52/1089
Abstract
Spectral variation of the sample absorption coefficient in mid-infrared (µ
IR
)
demands caution in photothermal radiometric measurements, because a
constant µ
IR
is regularly assumed in inverse analysis of the acquired signals.
Adverse effects of such approximation were recently demonstrated in numerical
simulations of pulsed photothermal radiometric (PPTR) temperature profiling
in soft biological tissues, utilizing a general-purpose optimization code in the
reconstruction process. We present here an original reconstruction code, which
combines a conjugate gradient minimization algorithm with non-negativity
constraint to the sought temperature vector. For the same test examples as in
the former report (hyper-Gaussian temperature profiles, InSb detector with
3−5 µm acquisition band, signal-to-noise ratio SNR = 300) we obtain
markedly improved reconstruction results, both when using a constant value
µ
eff
and when the spectral variation µ
IR
(λ) is accounted for in the analysis. By
comparing the results, we find that the former approach introduces observable
artefacts, especially in the superficial part of the profile (z< 100 µm). However,
the artefacts are much less severe than previously reported and are almost
absent in the case of a deeper, single-lobed test profile. We demonstrate that
the observed artefacts do not result from sub-optimal selection of µ
eff
, and
that they vary with specific realizations of white noise added to the simulated
signals. The same holds also for a two-lobed test profile.
1. Introduction
Pulsed photothermal radiometry (PPTR) is based on measurement of transient change in
mid-infrared (IR) emission following pulsed laser exposure of a sample. When thermal
properties of the sample are known, the laser-induced temperature profile can be reconstructed
from acquired radiometric signals. Such PPTR temperature profiling was recognized as a
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