Abstract
We developed kinetic models based on general fishbone-like dispersion relations. Firstly, a general model for arbitrary magnetic configuration and ion orbit width is presented. Then, by disregarding ion orbit width and approximating the magnetic geometry as circular, we introduce a simplified model that fully incorporates circulating/trapped ion effects. Finally, by considering the limit of ions being well-circulating or deeply trapped, the results directly revert to those observed in earlier theoretical studies.
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