## Detail Page

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This webpage contains an interactive simulation that allows users to study Fourier series expansions of waves. The amplitude of up to 11 harmonics may be selected for a wave in one dimension, allowing users to create a variety of wave functions. Waves can be examined as a function of space, time, or both, and tools are provided for measuring wavelengths and periods. Functions of sine and cosine may be used. Users can also choose to display mathematical equations describing their waves in three different forms. The limit of Fourier integrals and continuous wave packets can also be examined. In addition to constructing their own waves, users can also play a wave game and try to match a given pattern by selecting the Fourier amplitudes.

The page also contains a teacher's guide as well as user-submitted idea and activities for use with this simulation.

This page is part of a large and growing collection. It has been designed using principles from physics education research and refined based on student interviews.
Subjects Levels Resource Types
Mathematical Tools
- Series and Functions
Oscillations & Waves
- Acoustics
= Wave Analysis and Synthesis
- Instruments
- Wave Motion
= Wave Properties of Sound
Other Sciences
- Mathematics
Quantum Physics
- Approximation Techniques
- Probability, Waves, and Interference
- High School
- Informal Education
- Instructional Material
= Activity
= Interactive Simulation
= Tutorial
Intended Users Formats Ratings
- Learners
- Educators
- application/java
- text/html
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Keywords:
Fourier, superposition, wave packet, wavelength
Record Cloner:
Metadata instance created October 2, 2006 by Gifford Weber
Record Updated:
August 18, 2016 by Lyle Barbato
Other Collections:

ComPADRE is beta testing Citation Styles!

AIP Format
, Version 3.01 (PhET, Boulder, 2007), WWW Document, (https://phet.colorado.edu/en/simulation/fourier).
AJP/PRST-PER
PhET Simulation: Fourier: Making Waves, , Version 3.01 (PhET, Boulder, 2007), <https://phet.colorado.edu/en/simulation/fourier>.
APA Format
PhET Simulation: Fourier: Making Waves. (2007). Retrieved November 20, 2018, from PhET: https://phet.colorado.edu/en/simulation/fourier
Chicago Format
PhET. PhET Simulation: Fourier: Making Waves. Boulder: PhET, 2007. https://phet.colorado.edu/en/simulation/fourier (accessed 20 November 2018).
MLA Format
PhET Simulation: Fourier: Making Waves. Vers. 3.01. Boulder: PhET, 2007. 20 Nov. 2018 <https://phet.colorado.edu/en/simulation/fourier>.
BibTeX Export Format
@misc{ Title = {PhET Simulation: Fourier: Making Waves}, Publisher = {PhET}, Volume = {2018}, Number = {20 November 2018}, Year = {2007} }
Refer Export Format

%T PhET Simulation: Fourier: Making Waves
%D 2007
%I PhET
%C Boulder
%O 3.01
%O application/java

EndNote Export Format

%0 Electronic Source
%D 2007
%T PhET Simulation: Fourier: Making Waves
%I PhET
%V 2018
%N 20 November 2018
%7 3.01
%9 application/java

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The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

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