How Dark is the Shadow of a Round Ended Screen

Cover How Dark is the Shadow of a Round Ended Screen
How Dark is the Shadow of a Round Ended Screen
Joseph B Keller
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', we transform them to apply to transient waves. The theorv', which can be applied easily to various problems, yields the first term in a series. Further terms can be derived by methods that have been used in similar scalar and electromagnetic problems. 1. COMPLEX RAYS With each point x of an isotropic elastic medium, there are associated two propagation velocities VdiO and Vs{x), called the compressional and shear velocities. In terms of each velocity, we can define rays in space, called comp...ressional and shear rays, by means of Fermat's principle or the differential equations that follow from it. Each ray can be represented parametri- cally as a function x{s) of the arclength 5. We also define complex rays of each type as complex valued functions x(s) that satisfy the ray differential ecjuations or that are determined by Fermat's principle applied to complex curves. This definition is possible, provided the velocities are defined for complex values of x, which is the case if they are analj'tic functions.

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