A Solution to the Problem of the Skin Effect with a Bias Current in the Maxwell Plasma by the Method of Expansion in Eigenfunctions

Skin Effect Problem With The Displacement Current In Maxwell Plasma By The Source Method

We found the analytical solution to the problem of the skin effect for Maxwell plasma with the use of the kinetic equation, where the frequency of electron collisions is constant. We use the specular reflection of electrons from the surface as a boundary condition. The behavior of an impedance near to a plasma resonance is considered. We consider limiting cases of skin effect.

Skin effect with arbitrary specularity in Maxwellian plasma

The problem of skin effect with arbitrary specularity in maxwellian plasma with specular--diffuse boundary conditions is solved. A new analytical method is developed that makes it possible to to obtain a solution up to an arbitrary degree of accuracy. The method is based on the idea of symmetric continuation not only the electric field, but also electron distribution function. The solution is obtained in a form of von Neumann series.

Skin Effect Problem with Diffusion Boundary Conditions in Maxwell Plasma

The analytical method of solving the boundary problems for a system of equations describing the behaviour of electrons and an electric field in the Maxwell plasma half-space is developed. Here the diffusion reflection of electrons from the surface as a boundary condition is supposed. The exact solution for boundary value problem of the Vlasov-Maxwell equations through the eigenfunctions of the discrete spectrum and the continuous spectrum is obtained. The method of decomposition by eigenfunctions of discrete and continuous spectrum is used. The exact expression for the surface impedance also i…

球函数的正则表示：Sylvester定理，Maxwell多极和Majorana球

Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere

球面上拉普拉斯算子的任何本征函数都是以一组唯一的方向给出的：这些是麦克斯韦多极子，它们的存在性和唯一性被称为西尔维斯特定理。在这里，该定理是通过实现多极子是量子自旋的马约拉纳球表示中的相反向量对来证明的。这个证明涉及到物理学家的标准工具量子角动量代数、积分核和高斯积分。其他各种证明进行比较，包括一个替代使用微积分的时空旋量。

The Maxwell system in waveguides with several ends

A waveguide coincides with a three-dimensional domain G having finitely many cylindrical outlets to infinity; the boundary of G is smooth. In G, we consider the stationary Maxwell system with real spectral parameter k and identity matrices of dielectric and magnetic permittivity. The boundary of G is supposed to be perfectly conductive. In the presence of charges and currents we investigate the solvability of the corresponding boundary value problem supplemented with "intrinsic" radiation conditions at infinity. For all k in the continuous spectrum of the problem (including the thresholds and …

带传热边界条件的麦克斯韦-卡塔内奥-韦尔诺特热传导非自伴问题的精确解析解

Exact analytical solution for the non-selfadjoint problem of Maxwell--Cattaneo--Vernotte heat conduction with heat-transfer boundary condition

该研究求解带传热边界条件的麦克斯韦-卡塔内奥-韦尔诺特非傅里叶热传导方程，构建双正交系统得到精确解析解，分析谱结构并与数值解对比，为非自伴双曲热传导提供解析基准。