电磁场界angular momentum两种数学形式的等价性

负ε层和负μ层对负相速度材料（{ \em alias}左手材料）的限制等价性

Restricted equivalence of paired epsilon-negative and mu-negative layers to a negative phase-velocity material ({\em alias} left-handed material)

比较了（a）由ε负层和μ负层组成的双层和（b）单层负相速度材料的时谐电磁响应。假设所有的层都是电薄的，则（a）和（b）之间存在有限的等价性。限制等效性取决于线偏振态和横波数。完美的透镜和平行板波导的影响被认为是。

Mathematical theory for electromagnetic scattering resonances and field enhancement in a subwavelength annular gap

This work presents a mathematical theory for electromagnetic scattering resonances in a subwavelength annular hole embedded in a metallic slab, with the annulus width $h\ll1$. The model is representative among many 3D subwavelength hole structures, which are able to induce resonant scattering of electromagnetic wave and the so-called extraordinary optical transmission. We develop a multiscale framework for the underlying scattering problem based upon a combination of the integral equation in the exterior domain and the waveguide mode expansion inside the tiny hole. The matching of the electrom…

Fourier-Domain Electromagnetic Wave Theory for Layered Metamaterials of Finite Extent

The Floquet-Bloch theorem allows waves in infinite, lossless periodic media to be expressed as a sum of discrete Floquet-Bloch modes, but its validity is challenged under the realistic constraints of loss and finite extent. In this work, we mathematically reveal the existence of Floquet-Bloch modes in the electromagnetic fields sustained by lossy, finite periodic layered media using Maxwell's equations alone without invoking the Floquet-Bloch theorem. Starting with a transfer-matrix representation of the electromagnetic field in a generic layered medium, we apply Fourier transformation and a s…

Quantum entanglement of a harmonic oscillator in an electromagnetic field

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of the Schrodinger equation. There is a need for new methods for obtaining quantum-entangled particles and mathematically accurate studies of such methods. In this paper, a quantum harmonic oscillator (for example, an electron in a magnetic field) interacting with a quantized electromagnetic field is considered. Based on the exact solution of the Schrodinger equa…

单轴晶体中的电磁波：一般形式及其对贝塞尔光束的应用

Electromagnetic waves in uniaxial crystals: General formalism with an application to Bessel beams

本文提出了一种描述双折射介质中完全一般的电磁波传播的数学形式。得到了平面界面折射和反射的解析公式。作为一个特例，详细分析了贝塞尔光束以任意角度入射的情况。给出了一些数值计算结果，显示了光学涡旋的形成和破坏。

色散介质中电磁波传播分析的算子方法。第1部分：一般结果

An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 1: general results

本文研究色散各向同性无源线性介质中电磁波传播的数学模型，通过算子方法分析因果性、无源性与 Herglotz 函数的联系，并探讨广义 Lorentz 模型的稳定性、能量守恒及耗散等物理与数学性质。