Electromagnetic eigenfrequency of anisotropic inhomogeneous axisymmetric toroidal plasmas of arbitrary meridional cross section

Ferdinand, F.

doi:10.1016/0010-4655(86)90151-7

Cited by 6 publications

(2 citation statements)

References 4 publications

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“…In this letter, we apply to Eqs (1) and (2) a method [8] of solving equations of this type for a torus of arbitrary aspect ratio and arbitrary cross-section in order to determine the zero flux and the zero field eigenvalues. We use cylindrical co-ordinates r, <p, z LETTERS and assume axisymmetry, i.e.…”

Section: Z ( R )mentioning

confidence: 99%

Eigenvalues of relaxed axisymmetric toroidal plasmas of arbitrary aspect ratio and arbitrary cross-section

Cap

Khalil²

1989

Nucl. Fusion

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Relaxed (force-free) toroidal plasmas (‘Taylor states’) are of interest in fusion physics. The zero flux condition yields eigenvalues connected with the maximum toroidal current. Up to now, these eigenvalues have only been calculated for infinite aspect ratios and circular cross-sections or for rectangular cross-sections of the torus. Here, the zero flux and some zero field eigenvalues are calculated for toroids of arbitrary aspects ratios and arbitrary cross-sections such as circles, ellipses or Cassini curves.

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Section: Z ( R )mentioning

confidence: 99%

Eigenvalues of relaxed axisymmetric toroidal plasmas of arbitrary aspect ratio and arbitrary cross-section

Cap

Khalil²

1989

Nucl. Fusion

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show abstract

“…It consists in t,he following: the boundary courve y = yl,(x) will be described by a set of P discrete points xi, yt = y,(a), i = 1 ... P. A guarantee must be given (see later) that the curve yt = y(z;) describes aa close as possible the curve y = yR(x) and that the curve is continuous also between the discrete points. I n order to satisfy the homogeneous boundary condition W(z, yn(x)) = IV(zt, yf) = 0 we derive from (8) the system of P linear homogeneous equations for the A, (14) is satisfying. A numerical example will be given in the next chapter.…”

Section: Tlic Ncw M E T H O Dmentioning

confidence: 99%