JBO Letters

Analytical Green’s function for the fluorescence simplified spherical harmonics equations in turbid medium

[+] Author Affiliations
Limin Zhang, Jiao Li, Huijuan Zhao, Feng Gao

Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, China

Tianjin Key Laboratory of Biomedical Detecting Techniques and Instrument, Tianjin 300072, China

Xi Yi

Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, China

J. Biomed. Opt. 19(7), 070503 (Jul 14, 2014). doi:10.1117/1.JBO.19.7.070503
History: Received May 20, 2014; Revised June 18, 2014; Accepted June 19, 2014
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Abstract.  It is more complicated to write the analytical expression for the fluorescence simplified spherical harmonics (SPN) equations in a turbid medium, since both the processes of the excitation and emission light and the composite moments of the fluence rate are described by coupled equations. Based on an eigen-decomposition strategy and the well-developed analytical methods of diffusion approximation (DA), we derive the analytical solutions to the fluorescence SPN equations for regular geometries using the Green’s function approach. By means of comparisons with the results of fluorescence DA and Monte Carlo simulations, we have shown the effectiveness of our proposed method and the expected advantages of the SPN equations in the case of small source–detector separation and high absorption.

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© 2014 Society of Photo-Optical Instrumentation Engineers

Citation

Limin Zhang ; Xi Yi ; Jiao Li ; Huijuan Zhao and Feng Gao
"Analytical Green’s function for the fluorescence simplified spherical harmonics equations in turbid medium", J. Biomed. Opt. 19(7), 070503 (Jul 14, 2014). ; http://dx.doi.org/10.1117/1.JBO.19.7.070503


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