TY  - BOOK
AU  - Lekner,John
ED  - Institute of Physics (Great Britain),
TI  - Theory of electromagnetic pulses
T2  - [IOP release $release]
SN  - 9780750361293
AV  - QC665.E4 L458 2024eb
PY  - 2024///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Electromagnetic pulse
KW  - Mathematics
KW  - Electricity, electromagnetism & magnetism
KW  - bicssc
KW  - SCIENCE / Physics / Electromagnetism
KW  - bisacsh
N1  - "Version: 20241201"--Title page verso; Includes bibliographical references; 1. Fundamentals -- 1.1. Introduction -- 1.2. Universal properties of electromagnetic pulses -- 1.3. Conservation laws -- 1.4. Energy-momentum inequalities -- 1.5. Lorentz invariants -- Appendix 1A. Total angular momentum, energy velocities -- Appendix 1B. Dipole radiation -- Appendix 1C. The birth of radiation; 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. Pulses as superposition of beams -- 2.5. Bateman's integral solution -- 2.6. Compact forward-propagating waveforms -- 2.7. The oscillatory pulse GK -- Appendix 2A. Cylindrical integrals related to spherical sums -- Appendix 2B. Additional length parameter in wavefunctions -- Appendix 2C. The causal wavefunction GK in spheroidal-like coordinates; 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. The TE + iTM Z-pulse -- 3.5. The TE pulse of Ziolkowski, Hellwarth-Nouchi -- 3.6. The Feng, Winful and Hellwarth pulse -- 3.7. Causal TE and TM pulses -- 3.8. Oscillatory TE and TM pulses formed from GK -- 3.9. Extent and divergence angle of TE and TM pulses based on GK -- 3.10. TE + iTM pulses based on GK -- Appendix 3A. Energy of the TE + iTM Z-pulse -- Appendix 3B. Energy, momentum, and angular momentum for TE and TM pulses -- Appendix 3C. Backflow in causal TE and TM pulses; 4. Angular momentum -- 4.1. Intrinsic angular momentum -- 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 4A. Evaluation of Jz for a TE + iTM pulse -- Appendix 4B. Singular integrals over products of Bessel functions -- Appendix 4C. Total energy and momentum of self-dual 'CP' pulses -- Appendix 4D. Total angular momentum of 'CP' pulses; 5. Lorentz transformation of pulses -- 5.1. Lorentz transformation of scalar pulses -- 5.2. Transformation of electromagnetic pulses -- 5.3. A TE + iTM zero-momentum Z-pulse -- 5.4. A self-dual 'CP' pulse in its zero-momentum frame -- 5.5. Two TE + iTM pulses in their non-zero and zero-momentum frames -- 5.6. The TE G pulse in its zero-momentum frame -- 5.7. The oscillatory TE pulse based on GK -- Appendix 5A. The TE + iTM Z-pulse in its zero-momentum frame; 6. Chirality -- 6.1. Chirality of electromagnetic fields -- 6.2. Chirality of TE and TM pulses -- 6.3. Self-dual electromagnetic fields -- 6.4. TE + iTM pulses -- 6.5. 'Circularly polarized' pulses based on G -- 6.6. Total chiral content of self-dual 'CP' pulses -- 6.7. Self-dual 'CP' pulses derived from v0 (p, z, t) and v1(p, 0, z, t) -- Appendix 6A. Chiral content of 'LP' pulses -- Appendix 6B. A helical 'linearly polarized' pulse; 7. Polarization -- 7.1. Introduction, non-existence theorems -- 7.2. Two measures of the degree of linear polarization -- 7.3. TE and TM pulses -- 7.4. Self-dual TE + iTM pulses -- 7.5. 'Circularly polarized' ('CP') self-dual pulses -- 7.6. 'Linearly polarized' pulses, theory -- 7.7. 'LP' pulses based on GK -- 7.8. The [Pi] measure of linear polarization -- Appendix 7A. Calculation of the [Pi] measure of polarization -- Appendix 7B. [Pi]E for TE, TM, TE + iTM and 'CP' pulses; 8. Summary and comparison of pulse properties -- 8.1. Definitions of TM and TE, TM + iTE, 'CP' and 'LP' pulses -- 8.2. Total pulse energy, momentum, angular momentum, chiral content -- 8.3. Pulses based on the wavefunctions Z and Z[plus minus] -- 8.4. Pulses based on the wavefunctions G and G[plus minus] -- 8.5. Pulses based on the wavefunctions V0 and V1 -- 8.6. Pulses based on the wavefunction GK -- 8.7. Pulses based on the wavefunction aeio2pGLK; Full-text restricted to subscribers or individual document purchasers; Professional and scholarly; Also available in print
N2  - This short monograph presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact localized solutions of the Maxwell equations, and have finite energy, momentum and angular momentum. There are eight chapters: on Fundamentals, Solutions of the Wave Equation, Electromagnetic Pulses, Angular Momentum, Lorentz Transformation of pulses, Chirality, Polarization, and a final one summarizing and comparing various electromagnetic pulses and their properties. Eighteen Appendices cover mathematical or associated aspects. 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.Part of IPEM-IOP Series in Electromagnetics and Metamaterials
UR  - https://iopscience.iop.org/book/mono/978-0-7503-6129-3
ER  -