Singularities in the flying electromagnetic doughnuts
Singularities in the flying electromagnetic doughnuts
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DOI：
10.1515/nanoph-2019-0101
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发表时间：
2019-06
期刊：
影响因子：
7.5
通讯作者：
A. Zdagkas;N. Papasimakis;V. Savinov;Mark R. Dennis;N. Zheludev
中科院分区：
文献类型：
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作者：
A. Zdagkas;N. Papasimakis;V. Savinov;Mark R. Dennis;N. Zheludev
摘要飞行甜甜圈（FD）是麦克斯韦方程组的精确传播解，其形式为单周期、时空不可分离的环形脉冲。在这里，我们回顾了它们的性质，并揭示了一个复杂的和强大的精细拓扑结构的存在。特别地，FD脉冲的电场和磁场在多个平面、球壳和环上消失，并且显示多个点奇点，包括鞍点和涡旋。此外，该场的瞬时坡印亭矢量表现出大量的奇异性，这往往伴随着扩展区域的能量回流。
Abstract Flying doughnuts (FDs) are exact propagating solutions of Maxwell equations in the form of single-cycle, space-time non-separable toroidal pulses. Here we review their properties and reveal the existence of a complex and robust fine topological structure. In particular, the electric and magnetic fields of the FD pulse vanish across a number of planes, spherical shells and rings, and display a number of point singularities including saddle points and vortices. Moreover, the instantaneous Poynting vector of the field exhibits a large number of singularities, which are often accompanied by extended areas energy backflow.