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Paraxial Wentzel–Kramers–Brillouin method applied to the lower hybrid wave propagationa)
a)This article is dedicated to the memory of Grigory Pereverzev.
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10.1063/1.4745870
/content/aip/journal/pop/19/8/10.1063/1.4745870
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/8/10.1063/1.4745870
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) 3D evolution of the LH wave beam for keV and . Attenuation ellipses (mentioned in Sec. II) are plotted (in blue), together with the beam axis (in red). (b) A zoom-in of (a) from another point of view. The large (green) arrows represent the wave vector direction along the LH propagation pointing to the high field side, while the small (black) arrows represent the direction of the magnetic field opposite to the direction of the LH wave beam.

Image of FIG. 2.
FIG. 2.

Comparison between pWKB and ray tracing methods for the LH wave propagation in the poloidal cross-section. The colored area represents the projections of the attenuation ellipses on the poloidal section obtained from LHBEAM and the solid (red) curve is the beam axis, whereas the dashed (black) curves represent 10 rays generated by GENRAY. The solid (blue) diamond and the solid (magenta) circle indicate the position along the wave beam in which the power is fully absorbed, respectively, for keV and 10 keV.

Image of FIG. 3.
FIG. 3.

Magnitude of the parallel component of the complex electric field normalized to its value at the launching point of the reference ray for three different cases: 3 keV (a), 5 keV (b), 10 keV (c), for the fixed toroidal mode number , which corresponds to the dominant component of the spectrum, showing in (d).

Image of FIG. 4.
FIG. 4.

Poloidal (a) and toroidal (b) projection of the trajectory of the LH beam axis calculated by LHBEAM (full red curve) and the trajectory of a single ray calculated by GENRAY32 (dashed blue curve). Circular cross-section equilibrium, parabolic plasma profiles and the initial value of , and electron temperature keV are assumed.

Image of FIG. 5.
FIG. 5.

Parallel (a) and perpendicular (b) component of the refractive index as a function of R, corresponding to the case of Figure 4, calculated by LHBEAM (full red curve) and GENRAY32 (dashed blue curve).

Image of FIG. 6.
FIG. 6.

Poloidal projection of the trajectory of the LH beam axis calculated by LHBEAM (full red curve) and the trajectory of a single ray calculated by GENRAY32 (dashed blue curve). Alcator C-Mod like equilibrium and the initial value of are assumed.

Image of FIG. 7.
FIG. 7.

Parallel (a) and perpendicular (b) component of the refractive index as a function of R, corresponding to the case of Figure 6, calculated by LHBEAM (full red curve) and GENRAY32 (dashed blue curve).

Image of FIG. 8.
FIG. 8.

Power absorption profile as a function of the square root of the normalized poloidal flux, as calculated by single-pass LHBEAM (solid lines), GENRAY (dashed-dotted lines), and TORIC-LH (dashed lines) for 3 keV (red curves), 5 keV (green curves), and 10 keV (black curves). Input power is 1 MW. Note that LHBEAM takes into account the full toroidal spectrum.

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/content/aip/journal/pop/19/8/10.1063/1.4745870
2012-08-17
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Paraxial Wentzel–Kramers–Brillouin method applied to the lower hybrid wave propagationa)
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/8/10.1063/1.4745870
10.1063/1.4745870
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