磁电场螺旋度和无功功率流
Magnetoelectric-field helicities and reactive power flows
摘要：
电场和磁场之间的对偶对称性是麦克斯韦电动力学的基础。由于这种对称性，人们可以描述自由空间中电磁场的拓扑性质，得到光（电磁）螺旋度的守恒定律。当电磁场的对称性被破坏时，人们可以期望看到什么样的场螺旋度？由具有磁偶极模（MDM）振荡的铁氧体小粒子产生的近场是具有电和磁分量的场，但具有破缺的对偶（电磁）对称性。这些场被称为磁电场，具有不同于电磁场的拓扑性质。ME场的螺旋态是拓扑保护的类量子态。本文研究了ME场的螺旋度性质。我们分析了ME场螺旋度的守恒律，并表明螺旋度密度与复功率流密度的虚部有关。我们还表明，螺旋度的ME字段可以是一个复杂的值。
英文摘要：
The dual symmetry between the electric and magnetic fields underlies Maxwell's electrodynamics. Due to this symmetry one can describe topological properties of an electromagnetic field in free space and obtain the conservation law of optical (electromagnetic) helicity. What kind of the field helicity one can expect to see when the electromagnetic-field symmetry is broken? The near fields originated from small ferrite particles with magnetic dipolar mode (MDM) oscillations are the fields with the electric and magnetic components, but with broken dual (electric-magnetic) symmetry. These fields, called magnetoelectric (ME) fields, have topological properties different from such properties of electromagnetic fields. The helicity states of ME fields are topologically protected quantum like states. In this paper, we study the helicity properties of ME fields. We analyze conservation laws of the ME-field helicity and show that the helicity density is related to an imaginary part of the complex power flow density. We show also that the helicity of ME fields can be a complex value.
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