Complex Ray Analysis for Plasmas

Connor, K. A.

doi:10.1109/tps.1980.4317278

Cited by 8 publications

(2 citation statements)

References 14 publications

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“…The fact that A, in some cases, tends to have a large imaginary part has also been considered to be a serious complication. These problems have recently attracted much attention and, for the latter questions, various solutions have been proposed [19,[46][47][48][49]55]. Effectively, there are, however, no difficulties with using Eqs (2.2.35) for ray tracing of electron cyclotron waves //the absorption is weak, i.e.…”

Section: Ray Tracingmentioning

confidence: 99%

Electron cyclotron emission and absorption in fusion plasmas

et al. 1983

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The state of the art in the field of electron cyclotron emission and absorption of fusion plasmas confined by a magnetic field is reviewed. The general theory is described concisely, explicit results being given mainly for plasmas in local thermodynamic equilibrium. Moreover, the practical implications of these effects with respect to cyclotron radiation losses, the use of cyclotron emission as a diagnostic tool, and electron cyclotron heating and current drive are discussed with emphasis on tokamak plasmas.

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Section: Ray Tracingmentioning

confidence: 99%

Electron cyclotron emission and absorption in fusion plasmas

et al. 1983

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“…Then the derivatives of F are complex and, consequently, at least three of the space-time coordinates x, t of the characteristics. Calculations with these complex Hamilton equations can only be done if the properties of the medium and the boundary are described by functions which can be analytically continued to complex x, t values (for reviews, see Felsen [1976, chapter 1.6], Bennett [ 1978], and Connor [1980]). In cases where an analytic description cannot be given, numerical methods must be used.…”

Section: Introductionmentioning

confidence: 99%

Real Hamilton equations of geometric optics for media with moderate absorption

Suchy¹

1981

Radio Science

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For lossless media, Hamilton's equations of geometrical optics can be derived from the dispersion equation either by the method of characteristics or by its combination with Sommerfeld-Runge's refraction law, Whitham's conservation law, and the expression 0to/0k for the group velocity. The formal generalization to media with absorption leads to characteristics with complex space-time coordinates due to the now complex coefficients of the dispersion equation. For media with moderate absorption a real-valued generalization of Hamilton's equations is proposed. It is based on a dispersion equation with complex coefficients, on Sommerfeld-Runge's and Whitham's laws for the real parts of k, to, on Connor and Felsen's condition for the imaginary part of k, and on the expressionRe (0to/0k) for the velocity of a wave packet. These real-valued equations have been shown to hold in homogeneous media with moderate absorption.

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Complex ray tracing study of electron cyclotron resonance heating

Liu¹,

Zhao

1986

Int J Infrared Milli Waves

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Complex Ray Analysis for Plasmas

Cited by 8 publications

References 14 publications

Electron cyclotron emission and absorption in fusion plasmas

Electron cyclotron emission and absorption in fusion plasmas

Real Hamilton equations of geometric optics for media with moderate absorption

Complex ray tracing study of electron cyclotron resonance heating

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