# Fourier: Making Waves 傅力葉:與波共舞

 瀏覽器可執行版本 關閉 嵌入啓動模擬教學之圖樣

Java 版本: 支援離線使用，並提供更好的效能。

### 學習目標

• Explain qualitatively how sines and cosines add up to produce arbitrary periodic functions.
• Recognize that each Fourier component corresponds to a sinusoidal wave with a different wavelength or period.
• Mentally map simple functions between Fourier space and real space.
• Describe sounds in terms of sinusoidal waves.
• Describe the difference between waves in space and waves in time.
• Recognize that wavelength and period do not correspond to specific points on the graph but indicate the length/time between two consecutive troughs, peaks, or any other corresponding points.
• Become comfortable with various mathematical notations for writing Fourier transforms, and relate the mathematics to an intuitive picture of wave forms.
• Determine which aspect of a graph of a wave is described by each of the symbols lambda, T, k, omega, and n.
• Recognize that lambda & T and k & omega are analogous, but not the same.
• Translate an equation from summation notation to extended notation.
• Recognize that the width of a wave packet in position space is inversely related to the width of a wave packet in Fourier space.
• Explain how the Heisenberg Uncertainty principle results from the properties of waves.
• Recognize that the spacing between Fourier components is inversely related to the spacing between wave packets, and that a continuous distribution of fourier components leads to a single wave packet.

### 教學提示

 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

### 老師提供的活動

Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based) Trish Loeblein 大學-簡介

Concept questions for Physics using PhET (Inquiry Based) Trish Loeblein 大學-簡介

Wave unit (Inquiry Based) Trish Loeblein 大學-簡介

Wave clicker questions (Inquiry Based) Trish Loeblein 高中

Waves: Superposition (Inquiry Based) Trish Loeblein 高中

Wave Representations (Inquiry Based) Trish Loeblein 高中

Fourier Making Waves Game (Inquiry Based) Trish Loeblein 高中 實驗室 物理
Wave Modeling and Wave addition (Inquiry Based) Trish Loeblein 高中

How do PhET simulations fit in my middle school program? Sarah Borenstein 國中 其它 物理

Introduction to Fourier Analysis Sam McKagan, Kathy Perkins and Carl Wieman 大學-進階

MS and HS TEK to Sim Alignment Elyse Zimmer 高中

Mapping of PhET and IBDP Physics Jaya Ramchandani 高中 其它 物理
Making use of the Sound Simulations Don Cameron 高中 實驗室 物理

Serbian 全部 Српски ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА

Windows Macintosh Linux
Microsoft Windows
XP/Vista/7/8.1/10