Abstract
This paper develops geometrical optics ray techniques for problems of transient electromagnetic wave propagation in inhomogeneous, lossless, dispersive, dielectric media. The method results in a series expansion of the fields about the wavefronts. The theory is applied to solve a few illustrative problems dealing with wave propagation in a cold isotropic plasma. Special attention is given to the fact that in all physical media the wavefronts must propagate at the speed of light in vacuum. This physical requirement does not seem to have been incorporated into the mathematical models used in previous works dealing with geometrical optics techniques for solving transient electromagnetic wave problems.
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