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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.
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.
This book is written for scientists and engineers whose work
involves wave reflec tion or transmission. Most of the book is
written in the language of electromagnetic theory, but, as the
title suggests, many of the results can be applied to particle
waves, specifically to those satisfying the Schr6dinger equation.
The mathematical connection between electromagnetic s (or TE) waves
and quantum particle waves is established in Chapter 1. The main
results for s waves are translated into quantum mechanical language
in the Appendix. There is also a close analogy between acoustic
waves and electromagnetic p (or TM) waves, as shown in Section 1-4.
Thus the book, though primarily intended for those working in
optics, microwaves and radio, will be of use to physicists,
chemists and electrical engineers studying reflection and
transmission of particles at potential barriers. The tech niques
developed here can also be used by those working in acoustics,
ocean ography and seismology. Chapter 1 is recommended for all
readers: it introduces reflection phenomena, defines the notation,
and previews (in Section 1-6) the contents of the rest of the book.
This preview will not be duplicated here. We note only that applied
topics do appear: two examples are the important phenomenon of
attenuated total reflection in Chapter 8, and the reflectivity of
multilayer dielectric mirrors in Chapter 12. The subject matter is
restricted to linear classical electrodynamics in non-magnetic
media, and the corresponding particle analogues."
The theory of electromagnetic beams is presented in a simple and
physical way, with all necessary mathematics explained in the text.
The topics covered are in free-space classical electrodynamics, but
contact is made with quantum theory in proofs that causal beams of
various kinds can be viewed as superpositions of photons. This
follows from explicit expressions for the energy, momentum and
angular momentum per unit length for each type of beam. The
properties of beams in the focal region, of special experimental
and theoretical interest, are discussed in detail. There are eight
chapters: on Fundamentals, Beam-like solutions of the Helmholtz
equation, Electromagnetic beams, Polarization, Chirality,
Comparison of electromagnetic beams, a chapter on Sound beams and
particle beams (to show the similarities to and differences from
the vector electromagnetic beams), and a final chapter on Measures
of focal extent. Ten Appendices cover mathematical or associated
physical topics.
This book presents the theory of electromagnetic pulses in a simple
and physical way. All pulses discussed are exact solutions of the
Maxwell equations, and have finite energy, momentum and angular
momentum. The subject matter is restricted to free-space classical
electrodynamics, but contact is made with quantum theory in proofs
that causal pulses are equivalent to superpositions of photons.
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