Cardinali, A. and Morini, Lorenzo and Castaldo, C. and Cesario, R. and Zonca, F. Analysis of the validity of the asymptotic techniques in the lower hybrid wave equation solution for reactor applications. Physics of plasmas, 14. p. 112506. ISSN 1070-664X (2007)
Full text not available from this repository.Abstract
Knowing that the lower hybrid (LH) wave propagation in tokamak plasmas can be correctly described with a full wave approach only, based on fully numerical techniques or on semianalytical approaches, in this paper, the LH wave equation is asymptotically solved via the Wentzel-Kramers-Brillouin (WKB) method for the first two orders of the expansion parameter, obtaining governing equations for the phase at the lowest and for the amplitude at the next order. The nonlinear partial differential equation(PDE) for the phase is solved in a pseudotoroidal geometry (circular and concentric magnetic surfaces) by the method of characteristics. The associated system of ordinary differential equations for the position and the wavenumber is obtained and analytically solved by choosing an appropriate expansion parameter. The quasilinear PDE for the WKB amplitude is also solved analytically, allowing us to reconstruct the wave electric field inside the plasma. The solution is also obtained numerically and compared with the analytical solution. A discussion of the validity limits of the WKB method is also given on the basis of the obtained results.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1063/1.2805435 |
| Subjects: | Q Science > Q Science (General) T Technology > T Technology (General) |
| Research Area: | Computer Science and Applications |
| Depositing User: | Caterina Tangheroni |
| Date Deposited: | 15 Mar 2016 09:17 |
| Last Modified: | 15 Mar 2016 09:17 |
| URI: | http://eprints.imtlucca.it/id/eprint/3233 |
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