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具有变化热导率的不均匀材料中的光吸收系数的反演计算
引用本文:朱建新.具有变化热导率的不均匀材料中的光吸收系数的反演计算[J].高校应用数学学报(英文版),2002,17(2):155-163.
作者姓名:朱建新
作者单位:Dept.ofMath.,ZhejiangUniv.,Hangzhou310027,China
基金项目:Supported by the Doctoral Fund of the Education Ministry of China(1 9990 3 3 5 1 6 ) and the National Natural Science Foundation of China(1 0 0 71 0 73 )
摘    要:In this paper,for an inhomogeneous material in which the thermal conductivity varies as a function of depth,an efficient treatment is proposed to inversely calculate the depth distribution of optical-absorption coefficient by the surface temperature of the material. It is demonstrated that the results of inverse computation by that method are more similar to the experimental ones measured by some destructive method. Thus ,the treatment is more feasible to nondestructively estimate the distribution.

关 键 词:热导率  不均匀材料  光吸收系数  反演计算  二极管  逆问题
收稿时间:2 February 2001

Inverse computation of optical-absorption coefficient in inhomogeneous material with varied thermal conductivity
Jianxin Zhu.Inverse computation of optical-absorption coefficient in inhomogeneous material with varied thermal conductivity[J].Applied Mathematics A Journal of Chinese Universities,2002,17(2):155-163.
Authors:Jianxin Zhu
Institution:(1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou, China
Abstract:In this paper,for an inhomogeneous material in which the thermal conductivity varies as a function of depth,an efficient treatment is proposed to inversely calculate the depth distri- bution of optical- absorption coefficientby the surface temperature of the material.It is demon- strated that the results of inverse computation by that method are more similar to the experi- mental ones measured by some destructive method.Thus,the treatmentis more feasible to non- destructively estimate the distribution.
Keywords:nondestructive measurement  diode  optical- absorption  inverse problem  mathematical mod-  elling
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