电磁螺旋小波：类星体引擎的模型？
Electromagnetic helicity wavelets: a model for quasar engines?
摘要：
复杂的距离函数$ζ$，这在标量（声学）小波的定义中起着突出的作用，被发现确定一个复杂的扩展的球坐标系，非常适合于高度集中的电磁波束的建设与螺旋符合扁球体的几何形状的$ζ$。这用于建立由$ζ$的分支盘$D$辐射或吸收的电磁子波$F^m$的基础。$F^m$具有围绕z轴的整数角动量$m$和确定的球螺旋度。我们使用正则化方法计算其奇异电荷电流密度，并表明总电荷为零。因此，$F^m$仅仅是由于电和磁极化电流。$D$用作磁偶极天线，其轴用作耦合电偶极天线。我们提出这是一个理想化的电磁模型的类星体（在平坦的时空，没有重力），与$D$代表的吸积盘和涡旋奇点沿其轴代表喷流。在正则化的版本中，吸积盘是由一个固体扁平扁球体和两个固体窄半双曲面的喷流。
英文摘要：
The complex distance function $ζ$, which plays a prominent role in the definition of scalar (acoustic) wavelets, is found to determine a complex extension of the spherical coordinate system that is ideally suited for the construction of highly focused electromagnetic beams with helicities conforming to the oblate spheroidal geometry of $ζ$. This is used to build a basis of electromagnetic wavelets $F^m$ radiated or absorbed by the branch disk $D$ of $ζ$. $F^m$ has integer angular momentum $m$ around the z axis and definite spheroidal helicity. We use a regularization method to compute its singular charge-current density and show that the total charge vanishes. Hence $F^m$ is due solely to electric and magnetic polarization currents. $D$ acts as a magnetic dipole antenna, and its axis as a coupled electric dipole antenna. We propose this as an idealized electromagnetic model for quasars (in flat spacetime, without gravity), with $D$ representing the accretion disk and the vortex singularities along its axis representing the jets. In the regularized version, the accretion disk is represented by a solid flat oblate spheroid and the jets by two solid narrow semi-hyperboloids.
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