Publisher's Synopsis
Excerpt from Excitation and Propagation of Surface Waves
Rays in Space can be defined in terms of the propagation velocity by Fermat's principle or by the differential equations which follow from it. Complex rays can be defined by applying Fermat's principle to complex curves, or by considering complex solutions of the ray equations. In either case it is necessary that c(x) be defined for complex values of x which is the case if is an analytic function of x. 'we can also define complex surface rays by applying Fermat's principle to complex curves on the surface S or by considering complex solutions of the equations for surface rays. In this case it is necessary that both the velocity c1(x) and the surface S be defined for complex 2.
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