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OverviewThis monograph 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 book originally covered Fundamentals, Solutions of the wave equation, Electromagnetic pulses, Angular momentum, and Lorentz transformations. Appendices cover mathematical or associated aspects, such as chiral measures of electromagnetic fields. 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. Full Product DetailsAuthor: John Lekner (Victoria University of Wellington, New Zealand)Publisher: Institute of Physics Publishing Imprint: Institute of Physics Publishing Edition: 2nd edition ISBN: 9780750361279ISBN 10: 0750361271 Publication Date: 31 October 2024 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Forthcoming Availability: Not yet available  This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsContents (2ed) 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 1A. Total angular momentum, energy velocity 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 General forward-propagating solutions 2.5 Bateman’s integral solution 2.6 Pulses as superpositions of beams, causal waveforms Appendix 2A. Cylindrical integrals related to spherical sums Appendix 2B. Two-parameter causal wavefunctions Appendix 2C. The causal wavefunction Ψ0 in ‘spheroidal’ 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 A particular TE+iTM pulse 3.5 The Ziolkowski, Hellwarth and Nouchi pulse 3.6 The Feng, Winful and Hellwarth pulse 3.7 Oscillatory pulses 3.8 Causal TE and TM pulses Appendix 3A. Energy and momentum of a TE+iTM pulse Appendix 3B Backflow, retro-propagation 4 Angular momentum 4.1 Intrinsic angular momentum, polarization 4.2 The TE+iTM self-dual pulse 4.3 Two ‘CP’ self-dual pulses 4.4 Pulses based 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 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 6 Chirality 6.1 Chirality measures of electromagnetic fields 6.2 Chiral content of electromagnetic pulses 6.3 Chirality and twisted field lines 7 Focal extent 7.1 Introduction 7.2 Transverse extent in the focal plane 7.3 Longitudinal extent of the focal region 7.4 Comparison of localization of scalar fields 8 Polarization 8.1 Polarization of electromagnetic fields 8.2 Polarization of TM and TE pulses 8.3 Polarization of TM+iTE pulses 8.4 ‘Circularly polarized’ pulses 8.5 ‘Linearly polarized’ pulses Appendix 8A Nonexistence theorems for electromagnetic pulses 9 Comparison of electromagnetic pulses 9.1 Energy, momentum, angular momentum, and chirality 9.2 Focal extent 9.3 Polarization 10 Radiation of pulses 10.1 Historical sketch 10.2 Classical radiation theory 10.3 Electric dipole radiation 10.4 Radiation by arrays 10.5 Pulsed laser radiation 11 Sound pulses 11.1 Introduction 11.2 Energy, momentum, and angular momentum 11.3 Examples of causal pulses 12 Particle wavepackets 12.1 Schrödinger wavepackets 12.2 Expectation values of scalar packets 12.3 Spin, relativistic packets 12.4 Dirac wavepacketsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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