Book description
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 freespace 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, Beamlike 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.
Table of contents
 Preface
 Acknowledgments
 Fundamentals

BeamLike Solutions of the Helmholtz Equation
 Introduction
 Paraxial Approximation of the Helmholtz Equation
 Solutions in Cylindrical Coordinates
 Bateman's Integral Solution
 Exact Beam Wavefunctions
 Properties of _b(,z)
 Focal Region Extent, Local Wavelength
 Beam Wavefunctions Derived from _0(,z)
 Appendix: Cylindrical Integrals Related to Spherical Sums
 Appendix: Properties of the ProtoBeam Wavefunction
 References

Electromagnetic Beams
 E and B from Solutions of the Wave Equation
 TM and TE Beams
 Invariant Quantities of TM and TE Beams
 TM and TE beams based on _0
 TM and TE Beams Based on _1
 SelfDual Electromagnetic Beams
 TM+iTE Electromagnetic Beams
 TM+iTE BeamsBased on _0 and _1
 Appendix: Two Singular Integrals over Products of Bessel Functions
 Appendix: Comparison of TM or TE Beam energy and Momentum Densities with Those of a TM+iTE Beam
 References

Polarization
 Polarization of Electromagnetic Fields
 Polarization Properties of TM and TE Beams
 Polarization in SelfDual TM+iTE Beams
 `Circularly Polarized' Beams
 SelfDual `CP' Beam Derived from _0(,z)
 SelfDual `CP' Beam Derived from _1(,,z)
 `Linearly Polarized' Beams
 `Linearly Polarized' Beam Derived from _0
 `Linearly Polarized' Beam Derived from _1
 Appendix: NonExistence Theorems
 Appendix: Energy, Momentum, and Angular Momentum per Unit Length of `CP' Beams
 Cited References

Chirality
 Introduction
 Properties of the Chirality Measures of Electromagnetic Fields
 Chirality of TM and TE Beams
 Chiral Properties of `Linearly Polarized' Beams
 Chiral Properties of SelfDual Monochromatic Beams
 Appendix: Chiral Content of `LP' Beams
 Cited References
 Additional References (Chronological Order)
 Comparison of Electromagnetic Beams
 Sound Beams and Particle Beams

Measures of Focal Extent
 Introduction
 Andrejic Measure of Focal Plane Intensity
 Andrejic Measure of Longitudinal Extent
 Comparison of the Focal Extent Measures
 Appendix: A(s) and L(s) for the ProtoBeam
 Appendix: Focal Region Extent of the _b Family
 Appendix: Focal Region Extent of the Carter Beam Family
 Cited References
 Additional References (Chronological Order)
 Author's Biography
 Blank Page (1/4)
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Product information
 Title: Theory of Electromagnetic Beams
 Author(s):
 Release date: April 2020
 Publisher(s): Morgan & Claypool Publishers
 ISBN: 9781681737690
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