The optical analogy for vector fields

Details The optical analogy for vector fields The optical analogy for vector fields

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phflb...3.2652p&link_type=abstract

Physics of Fluids B (ISSN 0899-8221), vol. 3, Sept. 1991, p. 2652-2659.

Mathematics

17

Current Sheets, Magnetostatic Fields, Optical Properties, Vectors (Mathematics), Vortex Sheets, Energy Dissipation, Stellar Coronas, Stellar Magnetic Fields

Scientific paper

This paper develops the optical analogy for a general vector field. The optical analogy allows the examination of certain aspects of a vector field that are not otherwise readily accessible. In particular, in the cases of a stationary Eulerian flow v of an ideal fluid and a magnetostatic field B, the vectors v and B have surface loci in common with their curls. The intrinsic discontinuities around local maxima in absolute values of v and B take the form of vortex sheets and current sheets, respectively, the former playing a fundamental role in the development of hydrodyamic turbulence and the latter playing a major role in heating the X-ray coronas of stars and galaxies.

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