Numerical Solutions to Two-Body Problems in Classical Electrodynamics: Straight-Line Motion with Retarded Fields and No Radiation Reaction

1973 ◽  
Vol 7 (10) ◽  
pp. 2844-2850 ◽  
Author(s):  
J. Huschilt ◽  
W. E. Baylis ◽  
D. Leiter ◽  
G. Szamosi
Keyword(s):  
Numerical Solutions ◽  
Radiation Reaction ◽  
Classical Electrodynamics ◽  
Straight Line

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.

Forward and Inverse Displacement Analysis of an Actuated Spoke Wheel Robot With Two Spokes and a Tail Contact With the Ground

2010 ◽  
Author(s):  
Ping Ren ◽  
Dennis Hong
Keyword(s):  
Design Optimization ◽  
Ground Motion ◽  
Numerical Solutions ◽  
Convex Surface ◽  
Polynomial Equations ◽  
Surface Geometry ◽  
Displacement Analysis ◽  
Unstructured Environments ◽  
Straight Line ◽  
Rigid Shell

Intelligent Mobility Platform with Active Spoke System (IMPASS) is a unique wheel-leg hybrid robot that can walk in unstructured environments by stretching in or out three independently actuated spokes of each wheel. The latest prototype of IMPASS has two actuated spoke wheels and one passive tail. In order to maintain its stability, the tail of the robot is designed as a rigid shell with a geometrically convex surface touching the ground. IMPASS is considered as a mechanism with variable topologies (MVTs) due to its metamorphic configurations. Its motions on the ground, such as steering, straight-line walking and other combinations, can be uniformly interpreted as a series of configuration transformations. Among all cases of its topologies, the cases with two spokes and the tail in contact with the ground possess two d.o.f and contribute the most to its ground motion. To fully understand the characteristics of such topologies, the forward and inverse displacement analysis is developed for these cases, with the polynomial equations derived. Numerical solutions from simulation are present to validate their formulation. These results lay the kinematics foundation for the motion monitoring and planning of IMPASS. It also contributes to the design optimization of the tail’s surface geometry to improve its adaptability on uneven terrains.

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