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By using a coordinate system associated with magnetic surfaces, a unified eigen-mode equation for describing the tokamak ideal MHD instabilities is derived in the shear-Alfvenapproximation. Based on this equation having a general operator form, the eigen-mode equationgoverning the large-scale perturbation (such as the kink mode, the low-n ballooning mode and theAlfven mode) and small-scale perturbation (such as the high-n ballooning mode, the local mode)can be further deduced. In the first part of the present study, the small-scale perturbation isdiscussed in detail.
By using a coordinate system associated with magnetic surfaces, a unified eigen-mode equation for describing the tokamak ideal MHD instability is derived in the shear-Alfvenapproximation. Based on this equation having a general operator form, the eigen-mode equationgoverning the large-scale perturbation (such as the kink mode, the low-n ballooning mode and the Alfven mode) and small-scale perturbation (such as the high-n ballooning mode, the local mode) can be deduced. In the first part of the present study , the small-scale perturbation isdiscussed in detail.