Solution of a transcendental equation encountered in diffraction problems
Copyright policy )Solution of a transcendental equation encountered in diffraction problems
Abstract An analytic expression is obtained for certain solutions of the transcendental equation encountered in the course of solving the diffraction problem for elastic waves on a circular cylinder and sphere, in the high frequency case. A new expression for the Hankel function is obtained in the region where the argument is large in modulo and the exponent is of the order of the argument.
Wave scattering in solid mechanics, transcendental equation, high frequency case, elastic waves, circular cylinder, sphere, region where argument is large in modulo, new expression for Hankel function, exponent is of order of argument
Wave scattering in solid mechanics, transcendental equation, high frequency case, elastic waves, circular cylinder, sphere, region where argument is large in modulo, new expression for Hankel function, exponent is of order of argument
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