UID:
almahu_9948027281202882
Format:
1 online resource (various pagings) :
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illustrations (some color).
ISBN:
9781643270227
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9781643270203
Series Statement:
[IOP release 5]
Content:
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.
Note:
"Version: 20180701"--Title page verso.
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"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
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1. Fundamentals -- 1.1. Introduction -- 1.2. Universal properties of electromagnetic pulses -- 1.3. Conservation laws -- 1.4. Energy-momentum inequality -- 1.5. Lorentz invariants -- Appendix A. Radiation of electromagnetic pulses -- Appendix B. Particle wavepackets
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2. Solutions of the wave equation -- 2.1. Vector and scalar potentials -- 2.2. General solutions of the wave equation -- 2.3. Solutions with both z - ct and z + ct space-time dependence -- 2.4. Solutions in cylindrical coordinates -- 2.5. Bateman's integral solution -- 2.6. Pulses as superpositions of beams, casual waveforms -- Appendix A. Cylindrical integrals related to spherical sums -- Appendix B. Two-parameter causal wavefunctions -- Appendix C. The causal wavefunction [psi]₀ in 'spheroidal' coordinates
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3. Electromagnetic pulses -- 3.1. E and B from solutions of the wave equation -- 3.2. TE and TM pulses -- 3.3. Self-dual complex fields, TE+iTM pulses -- 3.4. A particular TE+iTM pulse -- 3.5. The Ziolowski, Hellwarth-Nouchi pulse -- 3.6. The Feng, Winful and Hellwarth pulse -- 3.7. Oscillatory pulses -- 3.8. Causal TE and TM pulses -- Appendix A. Energy of a TE+iTM pulse -- Appendix B. Chirality measures of electromagnetic fields
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4. Angular momentum -- 4.1. Intrinsic angular momentum, polarization -- 4.2. A TE+iTM self-dual pulse -- 4.3. Two self-dual 'CP' pulses -- 4.4. Pulses based on wavefunctions with azimuthal dependence -- 4.5. Causal TE+iTM pulses -- 4.6. Causal self-dual 'CP' pulses -- Appendix A. Evaluation of Jz for a TE+iTM pulse -- Appendix B. Singular integrals over products of Bessel functions
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5. Lorentz transformation of pulses -- 5.1. Lorentz transformation of scalar pulses -- 5.2. Transformation of electromagnetic pulses -- 5.3. A TE+iTM pulse in its zero-momentum frame -- 5.4. A self-dual 'CP' pulse in its zero-momentum frame -- 5.5. A causal TE+iTM pulse in its zero-momentum frame.
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Also available in print.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Additional Edition:
Print version: ISBN 9781643270197
Language:
English
DOI:
10.1088/978-1-6432-7022-7
URL:
http://iopscience.iop.org/book/978-1-6432-7022-7
