April 15-17

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Author: A Cardinali
Requested Type: Poster
Submitted: 2019-02-22 11:32:00

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Contact Info:
ENEA CR Frascati
Via E. Fermi, 45
Frascati, rome   00044
Italy

Abstract Text:
The Maxwell equation, useful to describe the wave propagation in a magnetized plasma medium, once established a constitutive relation that connects the polarized current density to the electric field, can be compactly written as a second order vector equation for the time-harmonic electric field. The “double cur” operator couples the three components of the electric field, making the solution of the wave equation cumbersome and difficult to solve both analytically or numerically. In the case of isotropic plasma (or for propagating frequencies such that (THertz domain)) the magnetic field can be neglected, it is possible to apply the “Helmholtz Decomposition Theorem”. The wave equation can be recast to a simple vector Helmholtz equation that in some case (homogeneous plasma) and in several coordinate systems allows the separation of variables, with the possibility to find analytical solutions. In the case of lower frequencies in particular in the so-called Lower Hybrid range the anisotropy cannot be neglected and the separation (in some cases) can be obtained by “helicity decomposition” [1] that is a generalization of the Helmholtz decomposition theorem. Analytical solutions are important because can be a guideline to the numerical solution of the wave equation in more complex plasma context e.g. weak plasma inhomogeneity etc. Some examples of solution are given and discussed.
[1] M. F. Dahl, Contact Geometry in Electromagnetism, Progress In Electromagnetics Research, Vol. 46, pp. 77-104, 2004.

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