Search results for "Nonlinear theory"
showing 2 items of 2 documents
Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
2018
We show that families of nonlinear gravity theories formulated in a metric-affine approach and coupled to a nonlinear theory of electrodynamics can be mapped into General Relativity (GR) coupled to another nonlinear theory of electrodynamics. This allows to generate solutions of the former from those of the latter using purely algebraic transformations. This correspondence is explicitly illustrated with the Eddington-inspired Born-Infeld theory of gravity, for which we consider a family of nonlinear electrodynamics and show that, under the map, preserve their algebraic structure. For the particular case of Maxwell electrodynamics coupled to Born-Infeld gravity we find, via this corresponden…
Functional Analysis Method for Nonlinear Theory of Gyrotrons
2019
This paper proposes an analyzing method for the nonlinear theory of gyrotrons based on the functional analysis theory. This method is computationally efficient and highly practical, and the results have good accuracy as that of the self-consistent theory. Moreover, the stability of the gyrotron can be easily analyzed by the trajectory of the mapped efficiency space based on the fixed point of the functional analysis theory. The validity and effectiveness of the presented method are verified by the results of self-consistent theory and experiments presented in the references, such as typical examples of gyrotrons working at various frequencies and modes.