07710nam a2200697 i 45000010014000000030004000140050017000180060019000350070015000540080041000690200025001100200024001350200025001590200027001840240035002110350025002460350022002710400040002930500026003330720016003590720023003751000027003982450053004252500020004782640098004983000071005963360021006673370026006883380032007144900027007464900053007734900034008265000043008605040041009035050316009445050545012605050648018055050504024535050466029575050441034235050484038645050458043485060075048065200816048815210032056975300029057295380036057585380078057945450626058725880060064986500027065586500040065856500055066256500051066807100054067317760049067858300031068348300054068658300034069198560059069539780750361293IOP20251030124834.0m    eo  d        cr cn |||m|||a250117s2024    enka   fob    000 0 eng d  a9780750361293qebook  a9780750361286qmobi  z9780750361279qprint  z9780750361309qmyPrint7 a10.1088/978-0-7503-6129-32doi  a(CaBNVSL)thg00084095  a(OCoLC)1478306047  aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC665.E4bL458 2024eb 7aPHK2bicssc 7aSCI0220002bisacsh1 aLekner, John,eauthor.1 aTheory of electromagnetic pulses /cJohn Lekner.  aSecond edition. 1aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :bIOP Publishing,c[2024]  a1 online resource (various pagings) :billustrations (some color).  atext2rdacontent  aelectronic2isbdmedia  aonline resource2rdacarrier1 a[IOP release $release]1 aIOP series in electromagnetics and metamaterials1 aIOP ebooks. [2024 collection]  a"Version: 20241201"--Title page verso.  aIncludes bibliographical references.  a1. 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 radiation8 a2. 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 coordinates8 a3. 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 pulses8 a4. 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' pulses8 a5. 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 frame8 a6. 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' pulse8 a7. 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' pulses8 a8. 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.  aFull-text restricted to subscribers or individual document purchasers.3 aThis 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.  aProfessional and scholarly.  aAlso available in print.  aMode of access: World Wide Web.  aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.  aJohn Lekner is Emeritus Professor of theoretical physics at Victoria University of Wellington, New Zealand. After an MSc at the University of Auckland and PhD at the University of Chicago, he taught at the Cavendish Laboratory, Cambridge, where he was also Fellow and Tutor in Physics at Emmanuel College. He has worked in statistical physics, electromagnetism, quantum theory and fluid mechanics. He is the author of 170 papers and of the books "Theory of Reflection" (2ed, Springer 2016), "Electrostatics of conducting cylinders and spheres" (AIP Publishing 2021), and "Theory of electromagnetic beams" (Springer 2022).  aTitle from PDF title page (viewed on January 17, 2025).  aElectromagnetic pulse.  aElectromagnetic pulsexMathematics. 7aElectricity, electromagnetism & magnetism.2bicssc 7aSCIENCE / Physics / Electromagnetism.2bisacsh2 aInstitute of Physics (Great Britain),epublisher. 8iPrint version:z9780750361279z9780750361309 0aIOP (Series).pRelease 24.  aIOP series in electromagnetics and metamaterials.  aIOP ebooks.p2024 collection.4 uhttps://iopscience.iop.org/book/mono/978-0-7503-6129-3