Abstract

The angular spectrum of plane waves representation is obtained for the electromagnetic field radiated by a localized current source in a uniaxially anisotropic medium. The linear medium is homogeneous throughout all space. It may be absorbing and temporally dispersive but is not spatially dispersive. The conductivity and permeability are scalar constants. The time behavior of the source is arbitrary except that its magnitude is always bounded and it begins radiating at a finite time. The representation of monochromatic fields radiated by time-harmonic sources is included also in the results. The radiated field is expressed as a superposition of monochromatic ordinary and extraordinary plane waves propagating in various directions. The spectral amplitudes of the plane waves are determined explicitly in terms of the source. The orientation of the guide axis of the representation with respect to the optic axis of the medium is arbitrary. The form of the solution is particularly appropriate for the study of diffraction, reflection, and refraction at plane boundaries.

© 1976 Optical Society of America

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