DEPTH PROFILING OF LASER-HEATED CHROMOPHORES IN BIOLOGICAL TISSUES BY PULSED PHOTOTHERMAL RADIOMETRY
DEPTH PROFILING OF LASER-HEATED CHROMOPHORES IN BIOLOGICAL TISSUES BY PULSED PHOTOTHERMAL RADIOMETRY
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DOI：
10.1364/josaa.12.001479
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发表时间：
1995-07-01
影响因子：
1.9
通讯作者：
NELSON, JS
中科院分区：
文献类型：
--
作者：
MILNER, TE;GOODMAN, DM;NELSON, JS
提出了一种解决方法，用于根据红外辐射测量提供的测量结果确定激光暴露测试材料中的未知初始温度分布的逆问题。推导了第一类 Fredholm 积分方程，它将红外信号幅度的时间演化与暴露的测试材料中未知的初始温度分布联系起来。奇异值分解用于证明所导出的反问题的严重不适定性质。使用三种反演方法来估计初始温度分布的解。发现使用提前终止的非负约束共轭梯度算法优于无约束反演方法，并应用于对人体皮肤中激光加热发色团的深度进行成像。
A solution method is proposed to the inverse problem of determining the unknown initial temperature distribution in a laser-exposed test material from measurements provided by infrared radiometry. A Fredholm integral equation of the first kind is derived that relates the temporal evolution of the infrared signal amplitude to the unknown initial temperature distribution in the exposed test material. The singular-value decomposition is used to demonstrate the severely ill-posed nature of the derived inverse problem. Three inversion methods are used to estimate solutions for the initial temperature distribution. A nonnegatively constrained conjugate-gradient algorithm using early termination is found superior to unconstrained inversion methods and is applied to image the depth of laser-heated chromophores in human skin.