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The Open Source Physics Project is supported by NSF DUE-0442581.

Computer Program Detail Page

Item Picture
Wave Representations Model
written by Andrew Duffy
The Ejs Wave Representations model displays two representations of a sinusoidal wave on a string.  One shows a movie of the wave traveling along a string - you can think of this representation as a sequence of photographs. The second representation is a plot of the displacement as a function of time for two points on the string (you can select which two points to use). Using only these two representations, you can determine the values of many different parameters that describe the wave.  You can modify this simulation if you have Ejs installed by right-clicking within the plot and selecting "Open Ejs Model" from the pop-up menu item.  

Ejs Wave Representations model was created using the Easy Java Simulations (Ejs) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_bu_Wave_representations.jar file will run the program if Java is installed.  Ejs is a part of the Open Source Physics Project and is designed to make it easier to access, modify, and generate computer models.  Additional Ejs models for physics are available.  They can be found by searching ComPADRE for Open Source Physics, OSP, or Ejs.

Please note that this resource requires at least version 1.5 of Java (JRE).
1 supplemental document is available
Subjects Levels Resource Types
Education Practices
- Active Learning
= Modeling
Oscillations & Waves
- Wave Motion
= Transverse Pulses and Waves
- Lower Undergraduate
- High School
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
  • Currently 5.0/5

Rated 5.0 stars by 1 person

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Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Andrew Duffy
Ejs simulation
Ejs, sinusoidal wave, transverse wave, traveling wave, wave
Record Creator:
Metadata instance created July 11, 2008 by Andrew Duffy
Record Updated:
January 29, 2018 by Caroline Hall
Last Update
when Cataloged:
June 4, 2008
Other Collections:

excellent way to learn A, T, v, lambda, omega, max transverse v

Author: lookang
Posted: April 19, 2011 at 11:45AM

good job!

» reply

Post a new comment on this item

Next Generation Science Standards

Disciplinary Core Ideas (K-12)

Wave Properties (PS4.A)
  • A simple wave has a repeating pattern with a specific wavelength, frequency, and amplitude. (6-8)
  • The wavelength and frequency of a wave are related to one another by the speed of travel of the wave, which depends on the type of wave and the medium through which it is passing. (9-12)

Crosscutting Concepts (K-12)

Patterns (K-12)
  • Graphs and charts can be used to identify patterns in data. (6-8)
  • Empirical evidence is needed to identify patterns. (9-12)
Structure and Function (K-12)
  • The functions and properties of natural and designed objects and systems can be inferred from their overall structure, the way their components are shaped and used, and the molecular substructures of its various materials. (9-12)

NGSS Science and Engineering Practices (K-12)

Analyzing and Interpreting Data (K-12)
  • Analyzing data in 9–12 builds on K–8 and progresses to introducing more detailed statistical analysis, the comparison of data sets for consistency, and the use of models to generate and analyze data. (9-12)
    • Analyze data using tools, technologies, and/or models (e.g., computational, mathematical) in order to make valid and reliable scientific claims or determine an optimal design solution. (9-12)
Developing and Using Models (K-12)
  • Modeling in 9–12 builds on K–8 and progresses to using, synthesizing, and developing models to predict and show relationships among variables between systems and their components in the natural and designed worlds. (9-12)
    • Use a model to provide mechanistic accounts of phenomena. (9-12)
Using Mathematics and Computational Thinking (5-12)
  • Mathematical and computational thinking at the 9–12 level builds on K–8 and progresses to using algebraic thinking and analysis, a range of linear and nonlinear functions including trigonometric functions, exponentials and logarithms, and computational tools for statistical analysis to analyze, represent, and model data. Simple computational simulations are created and used based on mathematical models of basic assumptions. (9-12)
    • Use mathematical representations of phenomena to describe explanations. (9-12)
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
A. Duffy, Computer Program WAVE REPRESENTATIONS MODEL (2008), WWW Document, (https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611).
A. Duffy, Computer Program WAVE REPRESENTATIONS MODEL (2008), <https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611>.
APA Format
Duffy, A. (2008). Wave Representations Model [Computer software]. Retrieved June 23, 2024, from https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611
Chicago Format
Duffy, Andrew. "Wave Representations Model." https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611 (accessed 23 June 2024).
MLA Format
Duffy, Andrew. Wave Representations Model. Computer software. 2008. Java (JRE) 1.5, Ejs simulation.23 June 2024 <https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611>.
BibTeX Export Format
@misc{ Author = "Andrew Duffy", Title = {Wave Representations Model}, Month = {June}, Year = {2008} }
Refer Export Format

%A Andrew Duffy %T Wave Representations Model %D June 4, 2008 %U https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611 %O Ejs simulation %O application/java %O Ejs simulation

EndNote Export Format

%0 Computer Program %A Duffy, Andrew %D June 4, 2008 %T Wave Representations Model %8 June 4, 2008 %9 Ejs simulation %U https://www.compadre.org/repository/document/ServeFile.cfm?ID=7618&DocID=611

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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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Wave Representations Model:

Is the Basis For http://weelookang.blogspot.com/2011/04/ejs-open-source-wave-representations.html

added 2 new features f and phi phase lead

changes made:
fixed the " with ' which is giving some error message in Ejs 4.3.3
re arrange to usual layout and color scheme
made the 2 x1 and x2 points drag-gable to improve usability
made feedback immediate, improve user experience
added frequency = 1/T
added phase lead of x1 to x2 = (xval2-xval)/lambda*2*Math.PI;
added a better code to code for phase lead in multiple of 2*Math.PI thanks to Hwang Fu-Kwun expert advise

if (Math.abs(phi%(2*Math.PI)-enterphi%(2*Math.PI)) < 0.1){
phicorrect = " Yes";
  phicorrectbackground = java.awt.Color.GREEN;
  else {
  phicorrect = " No";
  phicorrectbackground = java.awt.Color.RED;


relation by wee lookang

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