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Light propagation through biological tissue and other diffusive media = theory, solutions, and software /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Light propagation through biological tissue and other diffusive media/ Fabrizio Martelli ... [et al.].
Reminder of title:	theory, solutions, and software /
other author:	Martelli, Fabrizio,
Published:	Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :SPIE, : 2009.,
Description:	1 online resource (xxii, 274 p. : ill.) :digital file. :
Notes:	"SPIE digital library."
Subject:	Light - Transmission -
Online resource:	http://dx.doi.org/10.1117/3.824746
ISBN:	9780819481832 (electronic)

Light propagation through biological tissue and other diffusive media = theory, solutions, and software /
Light propagation through biological tissue and other diffusive mediatheory, solutions, and software /[electronic resource] :Fabrizio Martelli ... [et al.]. - Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :SPIE,2009. - 1 online resource (xxii, 274 p. : ill.) :digital file. - SPIE Press monograph ;PM193. - SPIE Press monograph ;PM103..

"SPIE digital library."

Includes bibliographical references and index.

Acknowledgements -- Disclaimer -- List of Acronyms -- List of Symbols -- 1. Introduction -- References.

Restricted to subscribers or individual electronic text purchasers.

This book provides foundational information on modeling light propagation through diffusive media, with special emphasis on biological tissue. A summary of the theoretical background on light propagation through diffusive media is provided with the aid of easy-to-use software designed to calculate the solutions of the diffusion equation.

Mode of access: World Wide Web.

ISBN: 9780819481832 (electronic)

Standard No.: 10.1117/3.824746doiSubjects--Topical Terms:

775608
Light
--Transmission

LC Class. No.: QC389 / .L54 2009

Dewey Class. No.: 535/.3

Light propagation through biological tissue and other diffusive media = theory, solutions, and software /
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245 0 0 $a Light propagation through biological tissue and other diffusive media $h [electronic resource] : $b theory, solutions, and software / $c Fabrizio Martelli ... [et al.].
260 $a Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) : $b SPIE, $c 2009.
300 $a 1 online resource (xxii, 274 p. : ill.) : $b digital file.
490 1 $a SPIE Press monograph ; $v PM193
500 $a "SPIE digital library."
504 $a Includes bibliographical references and index.
505 0 $a Acknowledgements -- Disclaimer -- List of Acronyms -- List of Symbols -- 1. Introduction -- References.
505 0 $a I. THEORY. 2. Scattering and absorption properties of diffusive media -- 2.1. Approach followed in this book -- 2.2. Optical properties of a turbid medium. 2.2.1. Absorption properties; 2.2.2. Scattering properties -- 2.3. Statistical meaning of the optical properties of a turbid medium -- 2.4. Similarity relation and reduced scattering coefficient -- 2.5. Examples of diffusive media -- References.
505 0 $a 3. The radiative transfer equation and diffusion equation -- 3.1. Quantities used to describe radiative transfer -- 3.2. The radiative transfer equation -- 3.3. The Green's function method -- 3.4. Properties of the radiative transfer equation. 3.4.1. Scaling properties; 3.4.2. Dependence on absorption -- 3.5. Diffusion equation. 3.5.1. The diffusion approximation -- 3.6. Derivation of the diffusion equation -- 3.7. Diffusion coefficient -- 3.8. Properties of the diffusion equation. 3.8.1. Scaling properties; 3.8.2. Dependence on absorption -- 3.9. Boundary conditions. 3.9.1. Boundary conditions at the interface between diffusive and non-scattering media; 3.9.2. Boundary conditions at the interface between two diffusive media -- References.
505 0 $a II. SOLUTIONS. 4. Solutions of the diffusion equation for homogeneous media -- 4.1. Solution of the diffusion equation for an infinite medium -- 4.2. Solution of the diffusion equation for the slab geometry -- 4.3. Analytical Green's functions for transmittance and reflectance -- 4.4. Other solutions for the outgoing flux -- 4.5. Analytical Green's function for the parallelepiped -- 4.6. Analytical Green's function for the infinite cylinder -- 4.7. Analytical Green's function for the sphere -- 4.8. Angular dependence of radiance outgoing from a diffusive medium -- References.
505 0 $a 5. Hybrid solutions of the radiative transfer equation -- 5.1. General hybrid approach to the solutions for the slab geometry -- 5.2. Analytical solutions of the time-dependent radiative transfer equation for an infinite homogeneous medium. 5.2.1. Almost exact time-resolved Green's function of the radiative transfer equation for an infinite medium with isotropic scattering; 5.2.2. Heuristic time-resolved Green's function of the radiative transfer equation for an infinite medium with non-isotropic scattering; 5.2.3. Time-resolved Green's function of the telegrapher equation for an infinite medium -- 5.3. Comparison of the hybrid models based on the radiative transfer equation and telegrapher equation with the solution of the diffusion equation -- References.
505 0 $a 6. The diffusion equation for layered media -- 6.1. Photon migration through layered media -- 6.2. Initial and boundary value problems for parabolic equations -- 6.3. Solution of the DE for a two-layer cylinder -- 6.4. Examples of reflectance and transmittance of a layered medium -- 6.5. General property of light re-emitted by a diffusive medium. 6.5.1. Mean time of flight in a generic layer of a homogeneous Cylinder; 6.5.2. Mean time of flight in a two-layer cylinder; 6.5.3. Penetration depth in a homogeneous medium; 6.5.4. Conclusion -- References.
505 0 $a 7. Solutions of the diffusion equation with perturbation theory -- 7.1. Perturbation theory in a diffusive medium and the born approximation -- 7.2. Perturbation theory: solutions for the infinite medium. 7.2.1. Examples of perturbation for the infinite medium -- 7.3. Perturbation theory: solutions for the slab. 7.3.1. Examples of perturbation for the slab -- 7.4. Perturbation approach for hybrid models -- 7.5. Perturbation approach for the layered slab and for other geometries -- 7.6. Absorption perturbation by use of the internal pathlength moments -- References.
505 0 $a III. SOFTWARE AND ACCURACY OF SOLUTIONS. 8. Software -- 8.1. Introduction -- 8.2. The diffusion&perturbation program -- 8.3. Source code: solutions of the diffusion equation and hybrid models. 8.3.1. Solutions of the diffusion equation for homogeneous media; 8.3.2. Solutions of the diffusion equation for layered media; 8.3.3. Hybrid models for the homogeneous infinite medium; 8.3.4. Hybrid models for the homogeneous slab; 8.3.5. Hybrid models for the homogeneous parallelepiped; 8.3.6. General purpose subroutines and functions -- References.
505 0 $a 9. Reference Monte Carlo results -- 9.1. Introduction -- 9.2. Rules to simulate the trajectories and general remarks -- 9.3. Monte Carlo program for the infinite homogeneous medium -- 9.4. Monte Carlo programs for the homogeneous and the layered slab -- 9.5. Monte Carlo code for the slab containing an inhomogeneity -- 9.6. Description of the Monte Carlo results reported in the CD-ROM. 9.6.1. Homogeneous infinite medium; 9.6.2. Homogeneous slab; 9.6.3. Layered slab; 9.6.4. Perturbation due to inhomogeneities inside the homogeneous slab -- References.
505 0 $a 10. Comparisons of analytical solutions with Monte Carlo results -- 10.1. Introduction -- 10.2. Comparisons between Monte Carlo and the diffusion equation: homogeneous medium. 10.2.1. Infinite homogeneous medium; 10.2.2. Homogeneous slab -- 10.3. Comparison between Monte Carlo and the diffusion equation: homogeneous slab with an internal inhomogeneity -- 10.4. Comparisons between Monte Carlo and the diffusion equation: layered slab -- 10.5. Comparisons between Monte Carlo and hybrid models. 10.5.1. Infinite homogeneous medium; 10.5.2. Slab geometry -- 10.6. Outgoing flux: comparison between Fick and extrapolated boundary partial current approaches -- 10.7. Conclusions. 10.7.1. Infinite medium; 10.7.2. Homogeneous slab; 10.7.3. Layered slab; 10.7.4. Slab with inhomogeneities inside; 10.7.5. Diffusive media -- References.
505 0 $a Appendix A: The first simplifying assumption of the diffusion approximation -- Appendix B: Fick's law -- Appendix C: Boundary conditions at the interface between diffusive and non-scattering media -- Appendix D: Boundary conditions at the interface between two diffusive media -- Appendix E: Green's function of the diffusion equation in an infinite homogeneous medium -- Appendix F: Temporal integration of the time-dependent Green's function -- Appendix G: Eigenfunction expansion -- Appendix H: Green's function of the diffusion equation for the homogeneous cube obtained with the Eigenfunction method -- Appendix I: Expression for the normalizing factor -- References -- Index.
506 $a Restricted to subscribers or individual electronic text purchasers.
520 $a This book provides foundational information on modeling light propagation through diffusive media, with special emphasis on biological tissue. A summary of the theoretical background on light propagation through diffusive media is provided with the aid of easy-to-use software designed to calculate the solutions of the diffusion equation.
530 $a Also available in print version.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
650 0 $a Light $x Transmission $x Mathematical models. $3 775608
650 0 $a Tissues $x Optical properties. $3 784458
700 1 $a Martelli, Fabrizio, $d 1969- $3 877299
710 2 $a Society of Photo-optical Instrumentation Engineers. $3 700253
830 0 $a SPIE Press monograph ; $v PM103. $3 877204
856 4 0 $u http://dx.doi.org/10.1117/3.824746