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Flux coordinates: Difference between revisions
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In this coordinates, equilibrium vector fields like the magnetic field <math>{\mathbf B}</math> or current density <math>{\mathbf j}</math> have simplified expressions. A particular kind of flux coordinates, generally called [[Flux_coordinates#Magnetic_coordinates|magnetic coordinates]], simplify the <math>{\mathbf B}</math>-field expression further by making field lines look straight in the <math>(\theta, \phi)</math> plane of that family of coordinates. Some popular choices of magnetic coordinate systems are [[Boozer coordinates]] and [[Hamada coordinates]]. | In this coordinates, equilibrium vector fields like the magnetic field <math>{\mathbf B}</math> or current density <math>{\mathbf j}</math> have simplified expressions. A particular kind of flux coordinates, generally called [[Flux_coordinates#Magnetic_coordinates|magnetic coordinates]], simplify the <math>{\mathbf B}</math>-field expression further by making field lines look straight in the <math>(\theta, \phi)</math> plane of that family of coordinates. Some popular choices of magnetic coordinate systems are [[Boozer coordinates]] and [[Hamada coordinates]]. | ||
[[Image:CurrentIntegrationCirtuits.png|400px|thumb|right|alt=Flux surface and a <math>\theta</math>-curve and <math>\phi</math>-curve.|Sample flux surface of the TJ-II stellarator and a <math>\theta</math>-curve (yellow) and <math>\phi</math>-curve (red).]] | [[Image:CurrentIntegrationCirtuits.png|400px|thumb|right|alt=Flux surface and a <math>\theta</math>-curve and <math>\phi</math>-curve.|Sample flux surface of the [[TJ-II]] [[Stellarator|stellarator]] and a <math>\theta</math>-curve (yellow) and <math>\phi</math>-curve (red).]] | ||
== General curvilinear coordinates == | == General curvilinear coordinates == | ||