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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 provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields.
Table des matières
1. Green Functions of One-Dimensional Thermal-Wave Fields.- 2. Thermal-Wave Fields in One Dimension.- 3. Green Functions in Three- and Two- Dimensional Cartesian Thermal-Wave Fields.- 4. Cartesian Thermal-Wave Fields in Three and Two Dimensions.- 5. Green Functions of Thermal-Wave Fields in Cylindrical Coordinates.- 6. Thermal-Wave Fields in Cylindrical Coordinates.- 7. Green Functions of Thermal-Wave Fields in Spherical Coordinates.- 8. Thermal-Wave Fields in Spherical Coordinates.- 9. Carrier-Density-Wave Fields in Electronic Solids/Semiconductors.- 10. Diffuse Photon Density Wave Fields in Turbid Media and Tissue.- Appendix: Special Mathematical Functions of Diffusion-Wave Fields.
Résumé
This book develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena. The text is intended for students and professionals working in such fields as thermal-wave spectroscopy, non-destructive evaluation, semiconductor and electronic device characterization, and biomedical laser tissue diagnostics.
Texte suppl.
From the reviews of the first edition:
"A useful, well balanced, book on the Green function method applied to solutions of numerous problems involving diffusion and wave processes under various physical conditions in Cartesian, cylindrical and spherical geometries. Mathematical procedures are performed in one, two and three dimensions. It is a textbook on the graduate level suitable for students but it can also serve as a reference literature to advanced researchers." (Vladimir Cadež, Zentralblatt MATH, Vol. 976, 2002)
"This book 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. … The presentation, largely in the form of case studies directly applicable in a wide range of experimental methodologies, is intended for graduate students, professional scientists and engineers … ." (Applied Mechanics Reviews, Vol. 54 (5), 2001)
Commentaire
From the reviews of the first edition:
"A useful, well balanced, book on the Green function method applied to solutions of numerous problems involving diffusion and wave processes under various physical conditions in Cartesian, cylindrical and spherical geometries. Mathematical procedures are performed in one, two and three dimensions. It is a textbook on the graduate level suitable for students but it can also serve as a reference literature to advanced researchers." (Vladimir Cadez, Zentralblatt MATH, Vol. 976, 2002)
"This book 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. ... The presentation, largely in the form of case studies directly applicable in a wide range of experimental methodologies, is intended for graduate students, professional scientists and engineers ... ." (Applied Mechanics Reviews, Vol. 54 (5), 2001)
