An explicit representation for the axisymmetric solutions of the free Maxwell equations

非线性非色散介质中麦克斯韦方程组的精确轴对称解

Exact Axisymmetric Solutions of the Maxwell Equations in a Nonlinear Nondispersive Medium

强波的传播特性是电动力学和声学理论和实验的重要内容。有界体积中的非线性波的行为是一个特别重要的问题，同时也是一个极其复杂的问题。似乎几乎不可能找到一个严格的解决方案，这样的问题，即使是任何非线性模型。我们得到了这类问题的第一个精确解。本文提出了一种新的方法来推导无色散非线性介质中的麦克斯韦方程组的精确解，并给出了描述圆柱形电磁波在非线性无色散介质中的传播和充满这种介质的圆柱形谐振腔中的自由电磁振荡的解的例子。

Geometry of motion and nutation stability of free axisymmetric variable mass systems

In classical mechanics, the 'geometry of motion' refers to a development to visualize the motion of freely spinning bodies. In this paper, such an approach of studying the rotational motion of axisymmetric variable mass systems is developed. An analytic solution to the second Euler angle characterising nutation naturally falls out of this method, without explicitly solving the nonlinear differential equations of motion. This is used to examine the coning motion of a free axisymmetric cylinder subject to three idealized models of mass loss and new insight into their rotational stability is pres…

Determination of Power of Groove fields under Dirichlet conditions associated with axisymmetric Electromagnetic fields

The present paper gives an interaction of electromagnetic waves with a smooth convex tri-angular obstacle and its adjacent wedge regions. We attempt to find the power of groove fields under Dirichlet conditions associated with axisymmetric electromagnetic field. A field intensity may be expressed in terms of a damped wave with a space attenuation depending on the physical parameters like conductivity, permittivity and permeability associated with an obstacle placed across the lines of force due to a given EM field. Groove field and their associated powers based on Dirichlet conditions on the g…

关于麦克斯韦方程组无衍射解的物理意义的注记

Remarks on the Physical Meaning of Diffraction-Free Solutions of Maxwell Equations

本文证明了电磁辐射源在波区不可能发出无衍射光束。贝塞尔$J_0$ $ϕ$不变光束甚至在中间区也不保持。这些结果否定了最近在文献中发表的声明。

关于麦克斯韦方程组的不带电解与电中性解的区别

On the difference between the charge-free and the charge-neutral solutions of Maxwell equations

通常认为，对于\varrho =0（电荷密度）的所谓“自由”麦克斯韦方程组的解描述了空的空间中的自由电磁场（如果将自由场视为场，则其通量线既不以电荷开始也不以电荷结束）。我们考虑了三种类型的区域：（i）“孤立的无电荷”区域（其中由该特定区域外的电荷产生的所有电场为零），例如，在任何形状的中空导体内或在自由电荷宇宙中;（二）"非隔离无电荷”区（其中由该特定区域外的电荷产生的所有电场不为零）和（iii）“电荷中性”区域（其中存在点电荷但它们的代数和为零）。本文指出，存在两类解：（1）在“孤立的无电荷”区域，麦克斯韦方程组中不存在自由电场，但可能存在与时间无关的背景磁场。(2)在均匀条件\varrho =0的“电荷中性”和“非隔离无电荷”区域中，电场的麦克斯韦方程具有非零解，如传统观点所示，但该解不是自由场。我们提到一些有关自由电磁场和最简单的电荷中性宇宙的影响。

经典麦克斯韦方程组在自由空间中的量子特性：从对应原理视角出发

Quantum aspects of the classical Maxwell's equations in free space from the perspective of the correspondence principle

本文从对应原理视角探讨经典麦克斯韦方程组在自由空间中的量子特性，揭示其与量子力学基础的联系。