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Diffusion-Wave Fields: Mathematical Methods and Green Functions Book

Diffusion-Wave Fields: Mathematical Methods and Green Functions
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Diffusion-Wave Fields: Mathematical Methods and Green Functions, Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to p, Diffusion-Wave Fields: Mathematical Methods and Green Functions
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  • Diffusion-Wave Fields: Mathematical Methods and Green Functions
  • Written by author Mandelis, Andreas
  • Published by Springer-Verlag New York, LLC, 5/26/2011
  • Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to p
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Authors

Introduction 1
The Mathematical Nature of Diffusion-Wave Fields 1
The Fourier and Laplace Transformation Approaches 4
The Green Function Method. Advantages, Properties, and Mathematical Preliminaries 7
Uniqueness Theorems of Diffusion-Wave Field Functions 13
Ch. 1 Green Functions of One-Dimensional Thermal-Wave Fields 22
Fundamental Green Function Solutions. The Infinite Space Green Function 23
Green Functions for the Semi-Infinite Solid 26
Green Functions for a Medium of Thickness L 36
Improper Green Functions for Domains with Interfaces 47
Green Functions for Composite Solids I 53
Green Functions for Composite Solids II 59
Green Functions for Composite Solids III 72
Green Functions for Composite Solids with a Spatially Impulsive TW Source Below the Uppermost Layer 77
Ch. 2 Thermal-Wave Fields in One Dimension 85
Ch. 3 Green Functions in Three- and Two-Dimensional Cartesian Thermal-Wave Fields 167
Laterally Infinite Domains 168
Laterally Finite Domains 202
Two-dimensional Green Functions in Cartesian Coordinates 225
Three-Dimensional Green Functions of Structures with Edges and Corners 233
Ch. 4 Cartesian Thermal-Wave Fields in Three and Two Dimensions 245
Ch. 5 Green Functions of Thermal-Wave Fields in Cylindrical Coordinates 313
Laterally Infinite Domains 314
Cylindrical Geometries with Finite Radii 330
Cylindrical Sector and Wedge Geometries with Finite Radii 395
Ch. 6 Thermal-Wave Fields in Cylindrical Coordinates 414
Thermal-Wave Fields in Laterally Infinite Domains 415
Thermal-Wave Fields in Cylindrical Geometries with Finite Radii 447
Thermal-Wave Fields in Laterally Infinite Domains with Arbitrary Source Distributions 475
Thermal-Wave Fields in Cylindrical Wedges and Edges 481
Ch. 7 Green Functions of Thermal-Wave Fields in Spherical Coordinates 501
Ch. 8 Thermal-Wave Fields in Spherical Coordinates 542
Point Sources, Spherically Symmetric Source Distributions, and Azimuthally Symmetric Sources 542
Spherically Symmetric Sources and Hollow Spheres 570
Spherical Cones 577
Ch. 9 Carrier-Density-Wave Fields in Electronic Solids/Semiconductors 584
Carrier Transport Equations 585
One-Dimensional Cartesian Geometries 592
Three-Dimensional Cartesian Geometries 609
Three-Dimensional Cylindrical Geometries 626
Composite Electronic Solids 643
Ch. 10 Diffuse Photon Density Wave Fields in Turbid Media and Tissue 662
App Special Mathematical Functions of Diffusion-Wave Fields 709
Subject Index 733


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Diffusion-Wave Fields: Mathematical Methods and Green Functions, Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to p, Diffusion-Wave Fields: Mathematical Methods and Green Functions

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Diffusion-Wave Fields: Mathematical Methods and Green Functions, Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to p, Diffusion-Wave Fields: Mathematical Methods and Green Functions

Diffusion-Wave Fields: Mathematical Methods and Green Functions

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Diffusion-Wave Fields: Mathematical Methods and Green Functions, Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to p, Diffusion-Wave Fields: Mathematical Methods and Green Functions

Diffusion-Wave Fields: Mathematical Methods and Green Functions

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