One-Dimensional Motion of Sommerfeld Sphere in Potential Hole in Classical Electrodynamics: Inside the Hole

金属导线中电磁表面波传播及Lambert W函数

Electromagnetic surface wave propagation in a metallic wire and the Lambert $W$ function

本文回顾了Sommerfeld对经典电动力学中金属导线中电磁轴对称表面波传播问题的解法，分析了Sommerfeld迭代方法的收敛性，并与精确的超越方程数值解及Lambert W函数解进行比较。

Can classical electrodynamics predict nonlocal effects?

Classical electrodynamics is a local theory describing local interactions between charges and electromagnetic fields and therefore one would not expect that this theory could predict nonlocal effects. But this perception implicitly assumes that the electromagnetic configurations lie in simply connected regions. In this paper we consider an electromagnetic configuration lying in a non-simply connected region, which consists of a charged particle encircling an infinitely-long solenoid enclosing a uniform magnetic flux, and show that the electromagnetic angular momentum of this configuration desc…

Excitation Theory for Space-Dispersive Active Media Waveguides

A unified electrodynamic approach to the guided-wave excitation theory is generalized to the waveguiding structures containing a hypothetical space-dispersive medium with drifting charge carriers possessing simultaneously elastic, piezoelectric and magnetic properties. Substantial features of our electrodynamic approach are: (i) the allowance for medium losses and (ii) the separation of potential fields peculiar to the slow quasi-static waves. It is shown that the orthogonal complementary fields appearing inside the external source region are just associated with a contribution of the potentia…

A consequence of the repulsive Casimir-Lifshitz force on nano-scale and the related Wheeler propagator in the classical electrodynamics

Mainly on nano-scale, but maybe not exclusively, it can be imagined a spontaneous charge disjunction inside certain media due to the fluctuations, collisions, wall effects, radiation or/and other presently unknown interactions. The repulsive Casimir-Lifshitz force may be also a good candidate as a source of this kind of phenomenon. To cover this assumption mathematically an additional term should appear in the Maxwell equations. As a consequence of this term, similar Klein-Gordon equations with a negative mass term will be obtained for the electric and magnetic fields. These equations may have…

适用于加速运动的机械驱动介质系统的扩展麦克斯韦方程组

The expanded Maxwell's equations for a mechano-driven media system that moves with acceleration

针对具有有限尺寸且可作加速运动的工程介质，提出忽略相对论效应的机械驱动介质系统扩展麦克斯韦方程组（MEs-f-MDMS），并基于加速介质中的法拉第定律阐明其必要性，以补充经典真空电动力学描述。

Force, Torque, Linear Momentum, and Angular Momentum in Classical Electrodynamics

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and by the Lorentz force law. Whereas Maxwell's equations relate the fields to their material sources, Poynting's theorem governs the flow of EM energy and its exchange between fields and material media, while the Lorentz law regulates the back-and-forth transfer of momentum between the media and the fields. An alternative force law, first proposed by Einstein and Laub, exists that is cons…

Radiation Reaction in Classical Field Theory

Studies of the classical theory of charged particles and their radiation initiated by Lorentz and Abraham have attracted our attention over a century. Nevertheless, the correct equation to describe the motion of a point charged particle is still a matter of controversy. And what about a charge "living" inside Flatland, a hypothetical world of two spatial dimensions? What is the equation of motion of a point charge in six dimensions? This book provides a self-contained and systematic introduction to problems of radiation and radiation reaction in classical field theory. Besides conventional ele…