在模拟实验里有一系列的动画用以展示波以波群速度及散射体的情形。且此课程中大部份主题的范例指定作业及课堂讲稿皆有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.
课程描述
应用力学里波动现象的线性理论。采用的实例由弹性力学、声学、地球物理学、水动力学及其它主题选出。基本概念中一维范例探讨特征、频散及群波速;散射、透射及反射。二维下探讨界面反射及折射及弹性波的模态转换、绕射及抛物线近似线源的辐射、弹性介质中的表面雷利波及洛夫波、海面上及层流体中的内波;移动介质中的波动有船波模式、障碍物后的大气背风波及波通过叠层介质等内容。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.