标题： 电磁螺旋波：类星体引擎的模型？ 显示英文标题

标题： Electromagnetic helicity wavelets: a model for quasar engines?

摘要： The complex distance function $\zeta$, 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 $\zeta$. This is used to build a basis of electromagnetic wavelets $F^m$ radiated or absorbed by the branch disk $D$ of $\zeta$. $F^m$ 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. 因此，$F^m$仅由电极化电流和磁极化电流引起。 $D$作为磁偶极子天线，其轴作为耦合的电偶极子天线。 我们提出这作为类星体的理想化电磁模型（在平直时空，没有引力中），其中$D$表示吸积盘，其轴上的涡旋奇点表示喷流。 在正则化版本中，吸积盘由一个实心扁球体表示，喷流由两个实心窄半双曲面表示。 显示英文摘要

摘要： The complex distance function $\zeta$, 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 $\zeta$. This is used to build a basis of electromagnetic wavelets $F^m$ radiated or absorbed by the branch disk $D$ of $\zeta$. $F^m$ 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.