# Verification of the ideal magnetohydrodynamic response at rational surfaces in the VMEC code

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Toroidal calculations on m = 2 magnetic feedback are presented. These calculations are performed using a coupled Î”' formulation and show that the feedback can have a pronounced effect on the sideband (m = 1 and 3) content.

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A thorough analysis of energetic particle modes (EPM) stability and mode structures is presented for tokamaks with hollow q profiles. Focusing on the region near the minimum-q surface, EPM gap modes and resonant EPMs are shown to exist as solutions of the same dispersion relation. By controlling...

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Kinetic effects of AlfvÃ©n wave spatial resonances near the plasma edge are investigated numerically and analytically in a linearized cylindrical tokamak model. In Part I, cold plasma surface AlfvÃ©n eigenmodes (SAEâ€™s) in a pure plasma are examined. Numerical calculations of...

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A pressure driven m=1/n=1 mode is excited by lower hybrid current drive in the WT-3 tokamak [T. Maehara et al., Nucl. Fusion 38, 39 (1998)]. The excitation of the mode is accompanied with the decrease of the magnetic shear and with the peaking of the soft x-ray emissivity profile inside the q=1...

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In a tokamak the coupling of resonant tearing modes with the plasma shape effects like toroidicity, elongation, and triangularity produces sidebands harmonics. In particular an m = 0, n = 1 nonresonant sideband can be driven by a m = 2, n = 1 tearing mode in an elliptic cross section tokamak. It...

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We use the non-linear reduced-magnetohydrodynamic code JOREK to study edge localized modes (ELMs) in the geometry of the ASDEX Upgrade tokamak. Toroidal mode numbers, poloidal filament sizes, and radial propagation speeds of filaments into the scrape-off layer are in good agreement with...

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Both at low and higher cyclotron harmonics, properly accounting for finite Larmor radius effects is crucial in many ion cyclotron resonance frequency heating scenarios creating high energy tails. The present paper discusses ongoing work to extend the 1D TOMCAT wave equation solver [D. Van Eester...

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The implementation of advanced electron cyclotron emission imaging (ECEI) systems on tokamak experiments has revolutionized the diagnosis of magnetohydrodynamic (MHD) activities and improved our understanding of instabilities, which lead to disruptions. It is therefore desirable to have an ECEI...