Numerical solutions to two-body problems in classical electrodynamics: Head-on collisions with retarded fields and radiation reaction. I. Repulsive case

1976 ◽  
Vol 13 (12) ◽  
pp. 3256-3261 ◽  
Author(s):  
J. Huschilt ◽  
W. E. Baylis
Keyword(s):  
Numerical Solutions ◽  
Radiation Reaction ◽  
Classical Electrodynamics

Electromagnetic Radiation

2019 ◽  
Author(s):  
Richard R. Freeman ◽  
James A. King ◽  
Gregory P. Lafyatis
Keyword(s):  
Electromagnetic Radiation ◽  
Energy Transport ◽  
Radiation Reaction ◽  
Classical Electrodynamics ◽  
X Rays ◽  
Field Equations ◽  
Radio Frequency Radiation ◽  
Relativistic Treatment ◽  
Time Variations ◽  
Radiation Science

Electromagnetic Radiation is a graduate level book on classical electrodynamics with a strong emphasis on radiation. This book is meant to quickly and efficiently introduce students to the electromagnetic radiation science essential to a practicing physicist. While a major focus is on light and its interactions, topics in radio frequency radiation, x-rays, and beyond are also treated. Special emphasis is placed on applications, with many exercises and homework problems. The format of the book is designed to convey the basic concepts of a topic in the main central text in the book in a mathematically rigorous manner, but with detailed derivations routinely relegated to the accompanying side notes or end of chapter “Discussions.” The book is composed of four parts: Part I is a review of basic E&M, and assumes the reader has a had a good upper division undergraduate course, and while it offers a concise review of topics covered in such a course, it does not treat any given topic in detail; specifically electro- and magnetostatics. Part II addresses the origins of radiation in terms of time variations of charge and current densities within the source, and presents Jefimenko’s field equations as derived from retarded potentials. Part III introduces special relativity and its deep connection to Maxwell’s equations, together with an introduction to relativistic field theory, as well as the relativistic treatment of radiation from an arbitrarily accelerating charge. A highlight of this part is a chapter on the still partially unresolved problem of radiation reaction on an accelerating charge. Part IV treats the practical problems of electromagnetic radiation interacting with matter, with chapters on energy transport, scattering, diffraction and finally an illuminating, application-oriented treatment of fields in confined environments.

Elements of Classical Electrodynamics

2019 ◽  
pp. 1-68
Author(s):  
Peter W. Milonni
Keyword(s):  
Rayleigh Scattering ◽  
Radiation Reaction ◽  
Electromagnetic Energy ◽  
Classical Electrodynamics ◽  
Optical Theorem ◽  
Lorentz Transformations ◽  
Photon Momentum ◽  
Dielectric Media ◽  
Earnshaw's Theorem ◽  
Extinction Theorem

This chapter reviews some topics in classical electrodynamics that are fundamental for modern quantum optics and that appear throughout the remaining chapters, includingelectric dipole radiation, electromagnetic energy, Abraham and Minkowski momenta in dielectric media, photon momentum, and Rayleigh scattering. Other foundational topics treatedare Earnshaw’s theorem, gauges and Lorentz transformations of fields, radiation reaction, the Ewald-Oseen extinction theorem, different forms of stress tensors in dielectric media, and the optical theorem.

scholarly journals Interpretations and Naturalness in the Radiation-Reaction Problem

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 658
Author(s):  
Carlos Barceló ◽  
Luis Garay ◽  
Jaime Redondo-Yuste
Keyword(s):  
Internal Structure ◽  
Equivalence Principle ◽  
Large Body ◽  
Radiation Reaction ◽  
Classical Electrodynamics ◽  
New Research ◽  
Reaction Problem ◽  
Radiation Reaction Problem

After more than a century of history, the radiation-reaction problem in classical electrodynamics still surprises and puzzles new generations of researchers. Here, we revise and explain some of the paradoxical issues that one faces when approaching the problem, mostly associated with regimes of uniform proper acceleration. The answers we provide can be found in the literature and are a synthesis of a large body of research. We only present them in a personal way that may help in their understanding. Besides, after the presentation of the standard answers, we motivate and present a twist to those ideas. The physics of emission of radiation by extended charges (charges with internal structure) might proceed in a surprising oscillating fashion. This hypothetical process could open up new research paths and a new take on the equivalence principle.

SYMMETRY PROPERTIES OF THE EXACT EM RADIATION-REACTION EQUATION FOR CLASSICAL EXTENDED PARTICLES AND ANTIPARTICLES

2013 ◽  
Vol 28 (18) ◽  
pp. 1350086 ◽  
Author(s):  
CLAUDIO CREMASCHINI ◽  
MASSIMO TESSAROTTO
Keyword(s):  
Conservation Laws ◽  
Classical Mechanics ◽  
Finite Size ◽  
Radiation Reaction ◽  
Classical Electrodynamics ◽  
Qualitative Properties ◽  
Hamilton Variational Principle ◽  
Electromagnetic Interactions ◽  
Symmetry Properties ◽  
Self Force

Based on recent theoretical developments (Cremaschini and Tessarotto, 2011–2013), in this paper the issue is addressed of the first-principle construction of the nonlocal relativistic radiation-reaction (RR) equation for classical spherical-shell, finite-size particles and antiparticles. This is achieved invoking the axioms of Classical Electrodynamics by means of the Hamilton variational principle. In connection with this, the Lagrangian conservation laws, together with the possible existence of adiabatic invariants, and the transformation laws of the RR equation with respect to CPT and time-reversal transformations are investigated. The latter properties make possible the parametrization of the RR equations, holding respectively for particles and antiparticles of this type, in terms of the same coordinate time t and the investigation of the qualitative properties of their solutions. In particular, in both cases the RR self-force is found to have the same signature, which implies that the dynamics of classical finite-size antiparticles is equivalent to that of classical extended particles of opposite charge. Therefore, in the framework of Classical Mechanics, a distinction between particles and antiparticles cannot be made based solely on the electromagnetic interactions associated with electromagnetic RR phenomena. As a basic application of the theory, the Lagrangian conservation laws and symmetry properties for the Hamiltonian asymptotic approximations of the exact RR equation are also addressed.

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