Expressions of the peak time for time-domain boundary measurements of diffuse light

被引：0
|
作者：
Eom, J. Y. [1 ]
Machida, M. [3 ]
Nakamura, G. [2 ,4 ]
Nishimura, G. [2 ]
Sun, C. L. [5 ,6 ,7 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
[2] Hokkaido Univ, Res Inst Elect Sci, Sapporo 0010020, Japan
[3] Kindai Univ, Fac Engn, Dept Informat, Higashihiroshima 7392116, Japan
[4] Hokkaido Univ, Dept Math, Sapporo 0600810, Japan
[5] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 211106, Peoples R China
[6] MIIT, Key Lab Math Modelling & High Performance Comp Air, Nanjing 211106, Peoples R China
[7] Nanjing Ctr Appl Math, Nanjing 211135, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 08期
基金：
中国国家自然科学基金;
关键词：
HOT-SPOTS CONJECTURE; OPTICAL TOMOGRAPHY; WAVELET TRANSFORM; FLUORESCENCE; SPECTRUM;
D O I：
10.1063/5.0081169
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Light propagation through diffusive media can be described by the diffusion equation in a space-time domain. Furthermore, fluorescence can be described by a system of coupled diffusion equations. This paper analyzes time-domain measurements. In particular, the temporal point-spread function is measured at the boundary of a diffusive medium. Moreover, the temporal profile of fluorescence is considered. In both cases, we refer to the maximum temporal position of measured light as the peak time. In this paper, we provide proofs of the existence and uniqueness of the peak time and give explicit expressions of the peak time. The relationship between the peak time and the object position in a medium is clarified.
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页数：14
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