Diffusion-Wave Fields

Description

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. 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. 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 working in fields that involve diffusion waves, including thermal-wave, photothermal and photoacoustic spectroscopies, non-destructive evaluation, semiconductor and electronic device carrier plasma-wave characterization, and biomedical laser tissue diffuse photon density-wave diagnostics. The treatment requires no more mathematical background than a course in advanced calculus and mathematical analysis. Problems at the ends of each chapter complement the main text and some serve to extend the material to current research.

First Sentence

The starting point for the derivation of the general characteristics of differential equations, boundary-value problems, and Green functions for diffusion-wave fields is the consideration of time-domain equations of diffusion.

Subjects

Other Editions

• Diffusion-Wave Fields: Mathematical Methods and Green FunctionsSpringer2001-06-27
• Diffusion-Wave FieldspaperbackSpringer2011-05-26
• Diffusion-Wave FieldsSpringer New York2013-01-01