Website Detail Page
written by
Kyle Forinash and
Wolfgang Christian
This is a set of 30 interactive tutorials on the fundamentals of waves, appropriate for AP level or for students who have adequate preparation in advanced algebra/trigonometry. It starts with very simple wave properties and ends with nonlinear wave behavior. The author's emphasis is on properties/behaviors of waves which are hard to understand by looking at a textbook page; for example, wave interference, collision with boundaries (reflection), the motion of water waves, and addition of linear waves. Each of the tutorials contains a Java simulation of the wave process being discussed, plus a set of problems to encourage self-paced exploration.
Editor's Note: The first 10 tutorials can be adapted for use in Physics First or conceptual physics courses. As the lessons progress into polarization and non-linearity, both the reading and mathematics levels become more appropriate for AP physics. This resource could also be quite helpful to new and crossover teachers desiring a refresher in the properties and behavior of waves.
View the supplemental documents attached to this resource (33)
Introduction to Waves Tutorial
Waves: An Interactive Tutorial is a set of 33 exercises designed to teach the fundamentals of wave dynamics. It starts with very simple wave properties and… more... download 241kb .zip Last Modified: July 28, 2015
Sine Waves
This simulation shows a perfect, smooth wave out on the ocean far enough from shore so that it has not started to break (complications involved in describing… more... download 115kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Speed of a Wave
There are three different velocities involved with describing a wave, one of which will be introduced in this simulation. download 125kb .zip Last Modified: May 30, 2015 previous versions
Transverse Waves
Transverse waves are the kind of wave you usually think of when you think of a wave. The motion of the material constituting the wave is up and down so that… more... download 144kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Simple Harmonic Motion
The Simple Harmonic Motion simulation shows the motion a mass on a spring graphs its time dependence. download 138kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Simple Harmonic Motion and Resonance
The Simple Harmonic Motion and Resonance simulation shows a driven damped harmonic oscillator. The user can select under damped, over damped, and critically… more... download 140kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Longitudinal Waves
The Longitudinal Waves simulation shows waves where the motion of the material is back and forth in the same direction that the wave moves. Sound waves (in… more... download 138kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Waves Waves
Waver Waves, like many real physical waves, are combinations of three kinds of wave motion; transverse, longitudinal and torsional. download 125kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Two-Dimensional Waves
The Two-Dimensional Waves simulation shows a plane wave in two dimensions traveling in the x-y plane, in the x direction, viewed from above. In these… more... download 125kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Adding Linear Waves (Superposition)
Linear waves have the property, called superposition, that their amplitudes add linearly if they arrive at the same point at the same time. This simulation… more... download 113kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Interference
The Interference simulation shows a top view of a source making waves on the surface of a tank of water (imagine tapping the surface of a pond with the end… more... download 127kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Group Velocity
The Group Velocity simulation shows how several waves add together to form a single wave shape (called the envelope) and how we can quantify the speed with… more... download 145kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Other Wave Functions
The Other Wave Functions simulation explores how any function of x and t which has these variables in the form x - v t will be a traveling wave with speed v. download 107kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Fourier Analysis and Synthesis
Fourier analysis is the process of mathematically breaking down a complex wave into a sum of of sines and cosines. Fourier synthesis is the process of… more... download 947kb .zip Last Modified: May 30, 2015
Mirrors
The Mirrors simulation exploration of specular reflection fro plane, concave, and convex surfaces. download 135kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Collisions with Boundaries
The Collisions with Boundaries simulation shows how the phase of the wave may be different after reflection, depending on the surface from which they reflect. download 127kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: May 30, 2015 previous versions
Standing Waves
This simulation shows how a standing wave is formed from two identical waves moving in opposite directions. For standing waves on a string the ends are fixed… more... download 128kb .zip Last Modified: May 30, 2015
Refraction
This simulation shows how a wave that changes speed as it crosses the boundary of between two materials will also change direction if it crosses the boundary… more... download 109kb .zip Last Modified: May 30, 2015
Lenses
This simulation shows how light rays are bent using the thin lens approximation which assumes the lens thickness is small compared to the curvature of the… more... download 119kb .zip Last Modified: May 30, 2015
Path Difference and Interference
This simulation shows two identical waves that start at different locations. A third graph shows the sum of these two waves. download 113kb .zip Last Modified: May 30, 2015
Impedance
This simulations represents a string as a row of individual masses connected by invisible springs. Waves are reflected in the middle of this string because… more... download 1809kb .zip Last Modified: May 30, 2015
Dispersion of Light
This simulation shows visible light passing through a prism. You can choose the color and see what the index is for that wavelength. download 111kb .zip Last Modified: May 31, 2015
Dispersion of Fourier Components
This simulation starts with the first four components of the Fourier series for a traveling square wave with no dispersion. Changing the angular frequency of… more... download 114kb .zip Last Modified: May 31, 2015
Diffraction
This simulation shows what happens to a plane-wave light source (below the simulation, not shown) as it passes through an opening. The wavelength of the… more... download 119kb .zip Last Modified: May 31, 2015
Doppler Effect
This simulation models at the Doppler effect for sound; the black circle is the source and the red circle is the receiver. If either the source or the… more... download 124kb .zip Last Modified: May 31, 2015
EM Waves from an Accelerating Charge
This simulation shows an accelerating positive charge and the electric field around it in two dimensions. Because the charge is accelerated there will be a… more... download 129kb .zip Last Modified: May 31, 2015
Antenna
This simulation shows the effect of a wave traveling in the x-direction on a second charge inside a receiving antenna. Only the y-component of the change in… more... download 106kb .zip Last Modified: May 31, 2015
Electromagnetic Plane Waves
This simulation shows a plane electromagnetic wave traveling in the y-direction. Both electric and magnetic fields are shown in the 3D representation. download 131kb .zip Last Modified: May 31, 2015
Polarization
This simulation shows the electric field component[s] for a wave traveling straight towards the observer in the +y direction. A polarized wave was previously… more... download 121kb .zip Last Modified: May 31, 2015
Wave Equation
In this simulation we look at the dynamics of waves; the physical situations and laws give rise to waves. We start with a string that has a standing wave on… more... download 224kb .zip Last Modified: June 29, 2015
Oscillator Chain
In this simulation we examine waves that occur on chains of masses with mass M coupled together with elastic, Hooke's law forces (F = -?x where ? is the… more... download 219kb .zip Rights: Creative Commons Attribution-Noncommercial-Share Alike 3.0. Last Modified: July 25, 2015
Non-Linear Waves
This simulations shows what happens if forces other than tension act on a string. Some additional forces cause the dispersion we saw in simulations 22 and 23… more... download 207kb .zip Last Modified: July 29, 2015 previous versions
Solitons
This simulation explores a special solution of the non-linear wave equation where the effects of dispersion and dissipation (which tend to make a wave pulse… more... download 205kb .zip Last Modified: July 29, 2015
View the source code documents attached to this resource (2)
Sine Waves Source Code
This source code zip archive contains an XML representation of the Sine Wave JavaScript Model. Unzip this archive in your Ejs workspace to compile and run… more... download 37kb .zip Last Modified: March 20, 2015 previous versions
Speed of a Wave Source Code
This source code zip archive contains an XML representation of the Speed of a Wave JavaScript Model. Unzip this archive in your Ejs workspace to compile and… more... download 46kb .zip Last Modified: March 20, 2015 previous versions
will all the src be available for download?
Author: lookang it appears only Sine Waves Source Code and Speed of a Wave Source Code are visible.
» reply
Post a new comment on this item AAAS Benchmark Alignments (2008 Version)4. The Physical Setting
4F. Motion
11. Common Themes
11B. Models
Common Core State Standards for Mathematics AlignmentsHigh School — Algebra (9-12)
Creating Equations^{?} (9-12)
High School — Functions (9-12)
Interpreting Functions (9-12)
Trigonometric Functions (9-12)
Common Core State Reading Standards for Literacy in Science and Technical Subjects 6—12
Craft and Structure (6-12)
Range of Reading and Level of Text Complexity (6-12)
This resource is part of 2 Physics Front Topical Units.
Topic: Wave Energy
Unit Title: Teaching About Waves and Wave Energy New and crossover teachers often appreciate a way to "see" physics beyond the pages of a textbook. This interactive tutorial covers every topic typically studied in an introduction to Waves. There are 20 sequenced tutorials, each with a discussion of one focused idea, a Java simulation that depicts that idea, and self-guided questions at the end. Link to Unit:
Topic: Wave Energy
Unit Title: Teaching About Waves and Wave Energy Many students benefit from a simulation-based exploration of physics phenomena that allows them to self-pace. This is a set of 20 sequenced tutorials on the topic of Waves, developed to promote understanding of processes that can't be visualized in a textbook illustration. Each tutorial has a discussion section, a Java simulation the students can manipulate, and self-guided questions at the end. Link to Unit:
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<a href="http://www.compadre.org/precollege/items/detail.cfm?ID=3146">Forinash, Kyle, and Wolfgang Christian. Waves: An Interactive Tutorial. August 9, 2005.</a>
AIP Format
K. Forinash and W. Christian, (2002), WWW Document, (http://pages.iu.edu/~kforinas/WJS/WavesJS.html).
AJP/PRST-PER
K. Forinash and W. Christian, Waves: An Interactive Tutorial, (2002), <http://pages.iu.edu/~kforinas/WJS/WavesJS.html>.
APA Format
Forinash, K., & Christian, W. (2005, August 9). Waves: An Interactive Tutorial. Retrieved November 26, 2015, from http://pages.iu.edu/~kforinas/WJS/WavesJS.html
Chicago Format
Forinash, Kyle, and Wolfgang Christian. Waves: An Interactive Tutorial. August 9, 2005. http://pages.iu.edu/~kforinas/WJS/WavesJS.html (accessed 26 November 2015).
MLA Format
Forinash, Kyle, and Wolfgang Christian. Waves: An Interactive Tutorial. 2002. 9 Aug. 2005. 26 Nov. 2015 <http://pages.iu.edu/~kforinas/WJS/WavesJS.html>.
BibTeX Export Format
@misc{
Author = "Kyle Forinash and Wolfgang Christian",
Title = {Waves: An Interactive Tutorial},
Volume = {2015},
Number = {26 November 2015},
Month = {August 9, 2005},
Year = {2002}
}
Refer Export Format
%A Kyle Forinash
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%0 Electronic Source Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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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. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. This resource and its subdocuments is stored in 44 shared folders. You must login to access shared folders. Waves: An Interactive Tutorial:
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