Theory of Electromagnetic Pulses (Second Edition).

Format:

Book

Author/Creator:

Lekner, John.

Series:

IOP Series in Electromagnetics and Metamaterials Series

Language:

English

Subjects (All):

Maxwell equations.

Electromagnetic waves.

Electromagnetic pulse.

Physical Description:

1 online resource (201 pages)

Edition:

2nd ed.

Place of Publication:

Bristol : Institute of Physics Publishing, 2024.

Summary:

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.

Contents:

Outline placeholder

Preface to the fist edition

Note added for the second edition

Author biography

John Lekner

Chapter 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

B1 Classical radiation theory

B2 Electric dipole radiation

Appendix 1C The birth of radiation

References

Supplementary references to Appendix 1C

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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 ψ0(ρ,z,t) and ψ1(ρ,ϕ,z,t)

Appendix 6A Chiral content of 'LP' pulses

Appendix 6B A helical 'linearly polarized' pulse

Supplementary references on chirality of light (chronological order)

Chapter Polarization

7.1 Introduction, non-existence theorems

7.1.1 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 Π measure of linear polarization

Appendix 7A Calculation of the Π measure of polarization.

Appendix 7B ΠE for TE, TM, TE + iTM and 'CP' pulses

Supplementary references on polarized pulses

Chapter Summary and comparison of pulse properties

8.1 Definitions of TM and TE, TM + iTE, 'CP' and 'LP' pulses

8.1.1 TE and TM pulses

8.1.2 TE + iTM pulses

8.1.3 Self-dual circularly polarized 'CP' pulses

8.1.4 Linearly polarized 'LP' pulses

8.2 Total pulse energy, momentum, angular momentum, chiral content

8.2.1 Total chiral content

8.3 Pulses based on the wavefunctions Z and Z±

8.4 Pulses based on the wavefunctions G and G±

8.5 Pulses based on the wavefunctions ψ0 and ψ1

8.6 Pulses based on the wavefunction GK

8.7 Pulses based on the wavefunction aeiϕ∂ρGK

Epilogue

Reference.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9780750361316

075036131X

OCLC:

1481785585