教學時程

波傳導

因舊版課程無指定課堂作業與考試，因此統整所有作業、講義、考試內容合併列出。

周	課程單元	重要日期
1	波動的物理起源舉例 Sample Physical Origins of Wave Motion 繃緊的細繩Taut String 彈力棒Elastic Rod 動脈中的血液流動Blood Flow in Arteries	問題組1指派
2	波動的簡單物理起源（續） Sample Physical Origins of Wave Motion (cont.) 管道中的聲音Sound in a Pipe 在基礎面反彈的電波Beam on an Elastic Foundation 高速公路的運輸流量Traffic Flow on a Freeway	問題組1繳交期限
3	波動的簡單物理起源—參觀非破壞性評估實驗 Sample Physical Origins of Wave Motion - Visit to the Nondestructive Evaluation Laboratory 淺海裏的長波，線性化 Long Waves in Shallow Seas, Linearization 一維傳導One Dimensional Propagation 一般方法，動脈分枝，阻抗 General Solution, Branching of Arteries, Impedance 有限區域的波動，D'Alembert理論 Waves in an Infinite Domain, D'Alembert's Theory	問題組2指派
4	一維傳導（續）One Dimensional Propagation (cont.) 特性Characteristics 半有限區域和反射Semi-infinite Domain and Reflection 有限區域的推動波Forced Waves in an Infinite Domain	問題組2繳交期限
5	一維傳導（續）One Dimensional Propagation (cont.) 彈性環境的繩，散射 String in an Elastic Surrounding, Dispersion 群體速度和能量傳輸 Group Velocity and Energy Transport 瞬時消散 Transient Dispersion, Method of Stationary Phase	問題組3指派
6	一維傳導（續）One Dimensional Propagation (cont.) 平穩狀態方法Method of Stationary Phase 簡諧波的散射和輻射，弱散射 Scattering and Radiation of Harmonic Waves, Weak Scattering 間斷面深水處長波的強散射 Strong Scattering of Long Water Waves by Depth Discontinuity	問題組3繳交期限
7	一維傳導（續）One Dimensional Propagation (cont.) 輻射條件，格林函數 Radiation Condition, Green's Function 一般特性，格林定理General Identities, Green Theorem 緩慢變化介質中的反射，WKB近似 Reflection in a Slowly Varying Medium, WKB Approximation	期中考試指派
8	二維傳導Two Dimensional Propagation 介面上平面波的反射和傳播 Reflection and Transmission of Plane Waves at an Interface 複合波的入射角和反射係數 Angle of Incidence, Reflection coefficient in the Complex Wave 固體裏彈性波的控制方程 Elastic Wave in Solid, Governing Equations	期中考試繳交期限
9	二維傳導（續）Two Dimensional Propagation (cont.) 有限空間的自由波，平面彈性波 Free Waves in Infinite Space, Plane Elastic Waves 平面邊界的彈性波的反射Reflection of Elastic Waves from a plane boundary P和SV波P and SV Waves	問題組4指派
10	二維傳導（續）Two Dimensional Propagation (cont.) SH波SH Waves SH波的散射Scattering of SH Waves 光的散射定理The Optical Theorem on Scattering 通過圓洞的SH波散射 Scattering of SH Waves by a Circular Cavity	問題組4題繳交期限
11	二維傳導（續）Two Dimensional Propagation (cont.) 通過線性縫隙的SH波繞射，拋物線近似 Diffraction of SH Waves by a Line Crack - Parabolic Approximation 半空間的瑞利表面波 Rayleigh Surface Waves in a Half Space 由於地面上直線負荷傳播的彈性波 Elastics Waves due to a Line Load Traveling on a the Ground Surface. 超聲波、超音速和亞音速 Supersonic, Transonic, and Subsonic	問題組5指派
12	海洋中的波動Waves in the Sea 線性化方程Linearized Equations 等身海洋中的前進波的消散和流體場、微團運動軌跡和能量運輸 Progressive Waves in Sea of Constant Depth. Dispersion and Flow Field. Particle Orbit and Energy Transport 二維障礙物的波阻 Wave Resistance of a Two Dimensional Obstacle	問題組5繳交期限
13	海洋中的波動（續）Waves in the Sea (cont.) 狹窄條帶區的散射波—波形成的Schroding方程 Narrow Banded Dispersive Waves. The Schrodinger Equation for the Wave Envelope. 受表面線性振盪壓力推動的表面波的輻射 Radiation of Surface Waves Forced by an Oscillating Line Pressure on the Surface. 開爾文波Kelvin Ship Waves	期末考試指派
14	海洋中的波動（續）Waves in the Sea (cont.) 層化流體內的內部波的消散關係 Internal Waves in a Stratified Fluid. Dispersion Relation. 無邊界流體的內部波，聖安德魯十字 Internal Waves in an Unbounded Fluid, St. Andrew's Cross 自由介質中的消散波 Dispersive Waves in Random Media 局部紊亂Localization by Disorder	期末考試繳交期限
15	如果時間允許並且學生有興趣 If time permits and if there is class interest: 通過薄板介質的波動Waves through Laminated Media 薄板的有效方程Effective Equation for Thin Laminates 厚板的有效方程Effective Equation for Thick Laminates 非線性波動Nonlinear Waves 交通波動，綠燈和紅燈 Traffic Waves. Green and Red Lights. 交通擁塞和混亂Shocks and Traffic Jam 激潮和水躍Bores and Hydraulic Jumps 由水壩毀壞造成的激潮 Bore from the Breaking of a Dam