在模擬實驗裡有一系列的動畫用以展示波以波群速度及散射體的情形。且此課程中大部份主題的範例指定作業及課堂講稿皆有PDF版本。
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A set of animations, demonstrating wave propagation for group velocity and scattering objects, are shown in the Simulations sections. Also, sample homework Assignments and Lecture Notes are in PDF versions for most of the topics in the course.
課程描述
應用力學裡波動現象的線性理論。採用的實例由彈性力學、聲學、地球物理學、水動力學及其它主題選出。基本概念中一維範例探討特徵、頻散及群波速;散射、透射及反射。二維下探討界面反射及折射及彈性波的模態轉換、繞射及拋物線近似線源的輻射、彈性介質中的表面雷利波及洛夫波、海面上及層流體中的內波;移動介質中的波動有船波模式、障礙物後的大氣背風波及波通過疊層介質等內容。Linearized theory of wave phenomena in applied mechanics. Examples are chosen from elasticity, acoustics, geophysics, hydrodynamics and other subjects. Basic concepts. One dimensional examples. Characteristics, dispersion and group velocity. Scattering, transmission and reflection. Two dimensional reflection and refraction across an interface. Mode conversion in elastic waves. Diffraction and parabolic approximation Radiation from a line source. Surface Rayleigh waves and Love waves in elastic media. Waves on the sea surface and internal waves in a stratified fluid. Waves in moving media. Ship wave pattern. Atmospheric lee waves behind an obstacle. Waves through a laminated media, etc.