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approvedsherwood_annapolis_2017_pptx.pdf2017-05-12 04:23:27ALESSANDRO CARDINALI

Abstracts

Author: ALESSANDRO CARDINALI
Requested Type: Poster
Submitted: 2017-03-08 03:09:22

Co-authors: B TIROZZI

Contact Info:
ENEA
VIA E FERMI 45
FRASCATI,   00044
ITALY

Abstract Text:
The solution of the electromagnetic wave equation in toroidal plasmas in time-space domain is particularly difficult also when the cold plasma approximation is invoked, this is due essentially to the fact that the equation cannot be recast to the Helmholtz equation owing to the presence of the “curl curl” differential operator. Another difficulty is related to the fact that the toroidal geometry introduces unpleasant metric coefficients. Solutions based on asymptotic techniques (WKB) have proved useful and effective [1]. In this work we focus on the possibility of a complete solution of the equation in an infinite half-plane for a harmonic perturbation using the Fourier and Laplace transform for the fields. The Laplace transform on space applies on the radial dimension, and allows us to set the appropriate boundary conditions of the field at the
edge. In order to solve the wave vector equation, a new dispersion relation is derived and studied in detail. In some relevant cases (e.g. Lower Hybrid Waves) the longitudinal component of the field can even become the largest one, this means that the wave electric field can be considered irrotational and the wave equation becomes the more manageable Poisson’s equation. This analysis is particularly useful in order to predict, for example, the behavior of a broadband terahertz (THz) pulse in a quasi-uniform and dispersive plasma, or studying the Current Drive of the LHW with a possible application to reactor plasma like ITER and DEMO.
[1] S. Yu. Dobrokhotov, A. Cardinali, A. I. Klevin, and B. Tirozzi, Doklady Mathematics, 94 (2016), ISSN 1064-5624.

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