1989•Plasma Physics and Controlled FusionRequires access

Solution of the eigenvalue equation for flute and drift-ballooning modes in a magnetic quadrupole

Joseph E. Willett, Hsi-Shu Wu, Yildirim Aktas

Abstract

Trapped particles are shown to make a contribution to the unperturbed flute-mode operator L 0 which is not Hermitian. This precludes the existence of a complete orthogonal set of real-valued eigenfunctions of L 0 . The first-order flute-mode eigenfunction is developed as a Fourier cosine series. Some calculated eigenfunctions and a dispersion curve for a drift-ballooning mode are also presented.

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Key concepts: Eigenfunction, Ballooning, Flute, Eigenvalues and eigenvectors, Physics, Mathematical analysis, Operator (biology), Mode (computer interface)