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DiHraction by a Cylinder in a Locally Uniaxial Medium With Azimuthal Optic Axis
Author(s) -
Stalzer Henry J.,
Shmoys Jerry
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196728821
Subject(s) - cylinder , physics , curvature , exact solutions in general relativity , magnetic field , azimuth , radius , maxwell's equations , mathematical analysis , anisotropy , geometrical optics , classical mechanics , geometry , optics , mathematics , quantum mechanics , computer security , computer science
An exact solution of Maxwell's equations is given for the problem of a magnetic line source parallel to the axis of a perfectly conducting cylinder in an inhomogeneous uniaxial medium of infinite extent. The inhomogeneity is due to the curvature of the lines of force of the static magnetic field responsible for the anistropy of the medium. These lines of force are taken to be concentric with the cylinder. The exact solution is transformed, for frequencies above the plasma frequency and for large cylinder radius, to a more rapidly convergent form which is given a geometric interpretation. This geometric interpretation can then be used to obtain approximate solutions when the magnetic field and the scatterer are more complicated and do not admit an exact solution of Maxwell's equations.