Analysis of the validity of the asymptotic techniques in the lower hybrid wave equation solution for reactor applications

A. Cardinali, L. Morini, F. Zonca

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Abstract

Conscious that the wave propagation of the LH in tokamak plasmas can be correctly described only with a full wave approach based on full numerical techniques or on a semi-analytical approach, in this paper we solve asymptotically the LH wave equation by the WKB approximation for the first two orders of the expansion parameter, obtaining the phase at the lowest and the amplitude at the next order. The non-linear PDE for the phase will be solved in a pseudo-toroidal geometry (circular and concentric magnetic surfaces) by the method of characteristics as described. The associated system of ODE'S for the position and the wave-number is obtained and analytically solved by choosing an appropriate expansion parameter. The quasi-linear PDE for the WKB amplitude is also analytically solved, allowing the reconstruction of the wave electric field inside the plasma. The solution will be also solved numerically, and a comparison with the analytical solution will be addressed. A discussion of the validity of the WKB approximation based on the obtained results will be also given. © 2006 American Institute of Physics.
Original languageEnglish
DOIs
Publication statusPublished - 2006
Externally publishedYes
EventTHEORY OF FUSION PLASMAS: Joint Varenna-Lausanne International Workshop - , Italy
Duration: 1 Jan 2006 → …

Conference

ConferenceTHEORY OF FUSION PLASMAS: Joint Varenna-Lausanne International Workshop
CountryItaly
Period1/1/06 → …

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Cardinali, A., Morini, L., & Zonca, F. (2006). Analysis of the validity of the asymptotic techniques in the lower hybrid wave equation solution for reactor applications. Paper presented at THEORY OF FUSION PLASMAS: Joint Varenna-Lausanne International Workshop, Italy. https://doi.org/10.1063/1.2404560