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- W1571798718 abstract "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." @default.
- W1571798718 created "2016-06-24" @default.
- W1571798718 creator A5073120897 @default.
- W1571798718 date "2012-09-13" @default.
- W1571798718 modified "2023-09-27" @default.
- W1571798718 title "Electromagnetic helicity wavelets: a model for quasar engines?" @default.
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- W1571798718 hasPublicationYear "2012" @default.
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