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DOE OSTI · 21612494

Iterated multidimensional wave conversion

Brizard, A J·Tracy, E R·Johnston, D·Kaufman, A N·Richardson, A S·Zobin, N
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Abstract

Mode conversion can occur repeatedly in a two-dimensional cavity (e.g., the poloidal cross section of an axisymmetric tokamak). We report on two novel concepts that allow for a complete and global visualization of the ray evolution under iterated conversions. First, iterated conversion is discussed in terms of ray-induced maps from the two-dimensional conversion surface to itself (which can be visualized in terms of three-dimensional rooms). Second, the two-dimensional conversion surface is shown to possess a symplectic structure derived from Dirac constraints associated with the two dispersion surfaces of the interacting waves.

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70 PLASMA PHYSICS AND FUSION TECHNOLOGYANTENNASAXIAL SYMMETRYCLOSED PLASMA DEVICESCONVERSIONDIFFERENTIAL EQUATIONSDIRAC EQUATIONELECTRICAL EQUIPMENTEQUATIONSEQUIPMENTFIELD EQUATIONSMODE CONVERSIONPARTIAL DIFFERENTIAL EQUATIONSPLASMAPLASMA WAVESSURFACESSYMMETRYTHERMONUCLEAR DEVICESTOKAMAK DEVICESTWO-DIMENSIONAL CALCULATIONSWAVE EQUATIONS

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Brizard, A J, Tracy, E R, Johnston, D, Kaufman, A N, Richardson, A S, Zobin, N. 2011-12-23. Iterated multidimensional wave conversion. https://doi.org/10.1063/1.3664982

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