title: Analytical Green's function for the fluorescence simplified spherical harmonics equations in turbid medium.
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.
authors.affiliation: Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, ChinabTianjin Key Laboratory of Biomedical Detecting Techniques and Instrument, Tianjin 300072, China.
authors.forename: Limin
authors.initials: L
authors.lastname: Zhang
authors.affiliation: Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, China.
authors.forename: Xi
authors.initials: X
authors.lastname: Yi
authors.affiliation: Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, ChinabTianjin Key Laboratory of Biomedical Detecting Techniques and Instrument, Tianjin 300072, China.
authors.forename: Jiao
authors.initials: J
authors.lastname: Li
authors.affiliation: Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, ChinabTianjin Key Laboratory of Biomedical Detecting Techniques and Instrument, Tianjin 300072, China.
authors.forename: Huijuan
authors.initials: H
authors.lastname: Zhao
authors.affiliation: Tianjin University, College of Precision Instrument and Optoeletronics Engineering, Tianjin 300072, ChinabTianjin Key Laboratory of Biomedical Detecting Techniques and Instrument, Tianjin 300072, China.
authors.forename: Feng
authors.initials: F
authors.lastname: Gao
mesh_terms: D000162:Acoustics; D000465:Algorithms; D004058:Diffusion; D005453:Fluorescence; D005456:Fluorescent Dyes / Q000737:chemistry; D008962:Models, Theoretical; D009391:Nephelometry and Turbidimetry
chemical_list: D005456:Fluorescent Dyes