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Force-Free Magnetic Fields: Solutions, Topology and Applications

Gerald E. Marsh
TLDR
The virial theorem solutions to the force-free field equations field topology magnetic energy in multiply connected domains applications force free fields and electromagnetic waves proof of the Jacobi polynomial identities separation of the wave equation, cyclides and boundary conditions as mentioned in this paper.
Abstract: 
The virial theorem solutions to the force-free field equations field topology magnetic energy in multiply connected domains applications force-free fields and electromagnetic waves proof of the Jacobi polynomial identities separation of the wave equation, cyclides and boundary conditions.

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Particular solutions of the inverse problem for 1D Vlasov-Maxwell equilibria using Hermite polynomials

Oliver Allanson, +3 more
- 31 Aug 2015 - 
TL;DR: In this article, Allanson et al. presented the solution to an inverse problem arising in the context of finding a distribution function for a specific collisionless plasma equilibrium, which involves the solution of two integral equations, each having the form of a Weierstrass transform.
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Apertures for excitation of algebraically self(dual e/m fields

T. E. Raptis
- 01 Nov 2010 - 
TL;DR: In this article, a technique for setting up parallel (self-dual) stationary electromagnetic fields in the context of transformation optics is proposed and several paradoxes that may appear in this regime are discussed.