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Showing 1 to 6 of 6 for “"Stationary phase method"”.
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Asymptotic Wave Solutions for Euler-Bernoulli and Timoshenko Beam by Ray Method and Stationary Phase Method
… theory and has been studied for many years. Many methods have been attempted to understand the flexural waves in beams based on Euler-Bernoulli and Timoshenko beam theories. Accurate numerical evaluations for transient waves in structures are usually difficult due to the complexity of the …
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Phase-space analysis of wave propagation in homogeneous dispersive media and its relationship to catastrophe theory
A phase-space asymptotic approach to wave propagation in homogeneous dispersive media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic theory, …
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Phase-space analysis of wave propagation in homogeneous dispersive and dissipative media
A phase-space asymptotic approach to wave propagation in homogeneous dispersive and dissipative media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic …
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Emission of whistler waves from an ionospheric tether
… observation point far from the antenna using the Stationary Phase Method. With this wave field, wave energy flux is calculated, and by integrating this wave energy flux on the sphere around the antenna, the radiation resistance of this antenna is computed. We compare the results with some past …
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Numerical methods for systems of highly oscillatory ordinary differential equations
… achievements are: to the contrary of classical methods, our numerical methods share the feature that asymptotically the approximation to the exact solution improves as the frequency of oscillation grows; also our methods are computationally feasible and as such do not require fine partition of …
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Analysis of modal evolution caused by a weakly range-dependent seabed in shallow water and its application to inversion for geoacoustic properties
… factor is evaluated analytically by using the stationary phase method. In order to reduce the error induced by the latter factor, mode filtering is utilized by incorporating data from a fixed vertical array of receivers. The use of the above zero-order Hankel transform in a three-dimensionally …