: John Lekner
: Theory of Reflection Reflection and Transmission of Electromagnetic, Particle and Acoustic Waves
: Springer-Verlag
: 9783319236278
: 2
: CHF 133.00
:
: Elektrizität, Magnetismus, Optik
: English
: 539
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

This book deals with the reflection of electromagnetic and particle waves by interfaces. The interfaces can be sharp or diffuse. The topics of the book contain absorption, inverse problems, anisotropy, pulses and finite beams, rough surfaces, matrix methods, numerical methods,  reflection of particle waves and neutron reflection. Exact general results are presented, followed by long wave reflection, variational theory, reflection amplitude equations of the Riccati type, and reflection of short waves. The Second Edition of the Theory of Reflection is an updated and much enlarged revision of the 1987 monograph. There are new chapters on periodically stratified media, ellipsometry, chiral media, neutron reflection and reflection of acoustic waves. The chapter on anisotropy is much extended, with a complete treatment of the reflection and transmission properties of arbitrarily oriented uniaxial crystals. The book gives a systematic and unified treatment reflection and transmission of electromagnetic and particle waves at interfaces. It is intended for physicists, chemists, applied mathematicians and engineers, and is written in a simple direct style, with all necessary mathematics explained in the text.



John Lekner is Professor of Theoretical Physics at Victoria University of Wellington. He has a PhD from the University of Chicago, and has taught at Cambridge, where he was a Fellow of Emmanuel College. He has worked mainly in statistical physics, quantum mechanics and electrodynamics. He has published more than 140 papers, of which about 40 are reflection-related.
Preface7
Contents9
1 Introducing Reflection15
1.1 The Electromagnetic {\varvec s} Wave15
1.2 The Electromagnetic {\varvec p} Wave20
1.3 Particle Waves26
1.4 Acoustic Waves30
1.5 Scattering and Reflection34
1.6 A Look Ahead38
References53
Further Readings53
2 Exact Results55
2.1 Comparison Identities, and Conservation and Reciprocity Laws55
2.2 General Expressions for {\varvec r}_{{\varvec s}} and {\varvec r}_{{\varvec p}}60
2.3 Reflection at Grazing Incidence, and the Existence of a Principal Angle66
2.4 Reflection by a Homogeneous Layer69
2.5 The Tanh, Exp and Rayleigh Profiles75
References86
Further Readings87
3 Reflection of Long Waves88
3.1 Integral Equation and Perturbation Theory for the s Wave88
3.2 The s Wave to Second Order in the Interface Thickness92
3.3 Integral Invariants94
3.4 \left| {{{\varvec r}}_{{{\varvec p}}} } \right|^{{{\bf 2}}} and {{\varvec r}}_{{{\varvec p}}} {{\varvec /r}}_{{{\varvec s}}} to Second Order97
3.5 Reflection by a Thin Film Between Like Media101
3.6 Six Profiles and Their Integral Invariants103
References106
Further Readings106
4 Variational Theory107
4.1 A Variational Expression for the Reflection Amplitude107
4.2 Variational Estimate for rs in the Long Wave Case110
4.3 Exact, Perturbation and Variational Results for the sech2 Profile111
4.4 Variational Theory for the p Wave115
4.5 Reflection by a Layer Between Like Media118
4.6 The Hulth00E9n-Kohn Variational Method Applied to Reflection122
4.7 Variational Estimates in the Short Wave Case124
References126
Further Readings126
5 Equations for the Reflection Amplitudes127
5.1 A First Order Non-linear Equation for an {\varvec s} Wave Reflection Coefficient127
5.2 An Example: Reflection by the Linear Profile129
5.3 Differential Equation for a {\varvec p} Wave Reflection Coefficient132
5.4 Upper Bounds on {\varvec R}_{{\varvec s}} and on {\varvec R}_{{\varvec p}}134
5.5 Long Wave Expansions136
5.6 Differential Equations for the Reflection Amplitudes140
5.7 Weak Reflection: The Rayleigh Approximation142
5.8 Iteration of the Integral Equation for {\varvec r}143
References145
6 Reflection of Sho