傅里叶:生成波

教师资源

主要议题

• 波
• 正弦
• 余弦

示范 学习目标

• 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.

教师提示

教师想法

标题	作者	等级	类型	已更新
Concept questions for Physics using PhET (Inquiry Based)	Trish Loeblein	本科生 高中	概念性问题	13-3-3
Wave unit (Inquiry Based)	Trish Loeblein	高中 本科生	示范 概念性问题 实验室	11-8-7
Fourier Making Waves Game (Inquiry Based)	Trish Loeblein	高中	实验室	08-11-13
Wave Representations (Inquiry Based)	Trish Loeblein	高中 本科生	实验室	08-11-13
Waves: Superposition (Inquiry Based)	Trish Loeblein	本科生 高中	实验室 概念性问题	08-11-13
Wave clicker questions (Inquiry Based)	Trish Loeblein	高中 本科生	概念性问题	11-8-7
Making use of the Sound Simulations	Don Cameron	高中	实验室	07-9-18
Introduction to Fourier Analysis	Sam McKagan, Kathy Perkins and Carl Wieman	本科生 本科生-高级	家庭作业	10-4-20
Wave Modeling and Wave addition (Inquiry Based)	Trish Loeblein	高中 本科生	实验室	08-11-13

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