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Time-domain three-dimensional diffraction by the isorefractive wedge

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2 Author(s)
Scharstein, R.W. ; Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA ; Davis, A.M.J.

The extension of the Biot-Tolstoy (1957) exact time domain solution to the electromagnetic isovelocity or isorefractive wedge is described. The TM field generated by a Hertzian electric dipole can be represented by a vector potential parallel to the apex of the wedge and a scalar potential necessitated by the three dimensionality of the magnetic field. The derivation of the former is exactly that of the pressure in the corresponding acoustic situation, and a more efficient version of the lengthy details is presented herein. A Lorentz gauge determines the scalar potential from the vector potential, and the diffracted field contains impulsive and “switch-on” terms that cannot be evaluated in closed form. The ratio of arrival times, at a given point, of the geometrical optics and diffracted fields provides a convenient parameter, in addition to the usual metric-related variable, for graphically displaying this scalar potential

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Antennas and Propagation, IEEE Transactions on  (Volume:46 ,  Issue: 8 )