Author Topic: Superposition Principle of Wave  (Read 459854 times)

Fu-Kwun Hwang

• Hero Member
• Posts: 3062
Superposition Principle of Wave
« on: January 29, 2004, 08:58:30 pm »
Registed user can get files related to this applet for offline access.
Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list

This java applet shows the "Superposition Principle of wave"
When two or more wave moving through the same region of space,
waves will superimpose and produce a well defined combined effect.
Wave maintain their integrity upon overlapping (without themselves being permanently changed).

Blue colored wave + green colored wave ==> red colored wave
Blue wave moving toward right, (with fixed frequency f)
Press the -/+ button: change the direction of green wave.
two waves with same frequency and amplitude but opposite direction ==>standing wave.
What if two wave with different amplitude?

Text Field input:
Wavelength: enter wavelength £f for blue/yellow waves,

Frequency: enter frequency f for blue/yellow waves,
Wave is not necessary moves with the same speed.
We can calculate wave speed v = f*£f
Waves with two different wavelength produce beatsphenomenon. (sample GIF picture)

Change parameters with mouse
Change phase between two waves:
Move mouse near the center line, click mouse button and drag it left or right

Change amplitude for each wave
Move mouse near the highest point of wave, click mouse button and drag it up and down.

Suspend the animation: click the mouse button.

 click left mouse button The animation resumes when the mouse button is released click right mouse button The animation resumes when click mouse button again

Click mouse button twice quickly to change the time scale:
Click left mouse button: slow down by a factor of 1.5
Click right mouse button: faster by a factor of 1.5

You are welcomed to check out Suposition of Two Waves (with different phases,same amplitude,frequency) or Superposition of two waves (same frequency, different amplitude, phase/dir )

Registed user can get files related to this applet for offline access.
Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list

• Guest
Wave superposition
« Reply #1 on: January 30, 2004, 08:22:01 am »
Thank you so much for the web page on the properties of waves. I work in
communications, where we use simulcast.( multiple transmitters@same freq ).
It so clearly can be used to illustrate the principles that plague us-
beating, phase nulling and phase shifting are all phenomena so easily viewed
in real time...It was great. I was searching for formulas to predict and
regulate beat rate and ran into your site, and sure am glad I did. We will
be employing offsets to our transmitters, as null durations can last ( and
corrupt/miss ) several bits at a 2Hz mismatch between transmitters. The
nulls must be regulated to work in conjunction with bit interleaving error
correction schemes, hence my searches on the subject. Again, fantastic
educational work. Thank you ! Ed Domas edomas@ucom.com

• Guest
topic19
« Reply #2 on: January 30, 2004, 08:50:44 am »
Subject: standing wave
Date: Wed, 03 Dec 1997 10:26:03 +0000
From: Keli Sato <ksato@awl.com>
To: hwang@phy.ntnu.edu.tw
Hello, I visited your Superposition Principle of Waves (http://www.phy.ntnu.edu.tw/java/waveSuperposition/waveSuperposition.html).
The applet is great, but I think you ment to say Standing wave, not Standarding wave
Keli Sato

• Guest
topic19
« Reply #3 on: January 30, 2004, 08:51:55 am »
Subject: Superposition of waves
Date: Mon, 15 Dec 1997 20:37:48 +0100
From: Peter Ryder <ryder@physik.uni-bremen.de>
Organization: University of Bremen
To: hwang@phy03.phy.ntnu.edu.tw
Your Java applet for superimposing wave is very nice,
but the "medium" has the interesting property that the group velocity and the phase velocity have opposite signs!
Well, that makes an intersting problem for the students to discuss.

• Guest
topic19
« Reply #4 on: January 30, 2004, 12:20:43 pm »
Date: Mon, 9 Nov 1998 14:50:44 -0500
http://www.phy.ntnu.edu.tw/java/waveSuperposition/waveSuperposition.html
has been selected to receive a Links2Go Key Resource award in the
Java Applets topic!

The Links2Go Key Resource award is both exclusive and objective. Fewer
than one page in one thousand will ever be selected for
inclusion. Further, unlike most awards that rely on the subjective
opinion of "experts," many of whom have only looked at tens or
hundreds of thousands of pages in bestowing their awards, the Links2Go
Key Resource award is completely objective and is based on an analysis
of millions of web pages. During the course of our analysis, we
identify which links are most representative of each of the thousands
of topics in Links2Go, based on how actual page authors, like
yourself, index and organize links on their pages. In fact, the Key
Resource award is so exclusive, even we don't qualify for it (yet !

to display this award on your page.

Once again, congratulations on your award!

our appologies. We would appreciate it if you would forward this email
to the appropriate person.

• Guest
topic19
« Reply #5 on: February 26, 2004, 07:38:31 am »
Hello!
I came across your site recently and I was very impressed by your Superposition applet. It�s a very good interactive descriptive explanation of Superposition. I�ve played with it for hours!

I live in Liverpool, England and I'm in a band called Kling Klang that plays mainly instrumental synthetic music. Last year we released a single titled "The Superposition". One of the tracks on it was supposed to represent the sounds of Superposition (loads of rolling, colliding and penetrating waves). I think you might like it!

Anyway, the reason I am emailing you is to ask for your permission/help. We are releasing an album of all our previous recorded material later this year and we'd like to put it out as an Enhanced CD (Songs, Video, Data, etc). I was going to ask if we could include a copy of your web page and applet on the CD (we would obviously credit you accordingly) - would this be ok? I totally understand if you do not want us to include it, but I just thought I'd ask anyway. If you don't want us to include it, could we put a web link to it instead?

Below is a few links to things to do with us.

http://www.klingklang.mersinet.co.uk/
http://www.klingklang.mersinet.co.uk/pages/eod.htm
http://www.geol.uni-erlangen.de/michel/eod.htm

If you give me your address, I could also send you some examples of our music.
Sorry for just emailing you like this. I just liked your applet so much.

Good luck with all your work in the future.
Bye!!!
Joe
------------
Kling Klang
tel: 0151 727 8348
mob: 07800 974094

_________________________________________________________________

• Guest
Some Help
« Reply #6 on: February 27, 2004, 01:32:39 am »
Nice page, and wonderfull java applications, can you send me more information or links, I would like to make a simulation in java for the Table Tennis Ball, as a proyectile and the efect in the movement for the spin (rotation). I'm table tennis player, usually when you put more spin in the ball, then the ball get a less distance to touch the table. For that reason in high level , the table tennis player put an strong spin in the ball, to make sure don't loss the point.

mauricio_vergara6401@yahoo.com

Please send me information to do this in java.

Thanks

Fu-Kwun Hwang

• Hero Member
• Posts: 3062
topic19
« Reply #7 on: February 28, 2004, 02:18:59 pm »
There is friction force between ball and the table.
You need to assume the friction force and calculate the torque and change angular momentum from the torque.

• Guest
Concerning the Applet: Superposition Principle of Wave
« Reply #8 on: April 30, 2004, 07:17:18 pm »
My physics teacher wishes there was another feature to your Applet, with your permission I would like to either get the source, or decompile the applet and add that feature. Please E-mail me your reply.

E-Mail: sukuriant@yahoo.com

Thankyou :-)

Fu-Kwun Hwang

• Hero Member
• Posts: 3062
topic19
« Reply #9 on: May 06, 2004, 08:24:52 am »
Please write down what features you need! May be it is available already!

Richardbr04

• Newbie
• Posts: 1
topic19
« Reply #10 on: November 15, 2005, 10:31:50 pm »
This is an excellent site for people who have difficulty in understanding textual physics.

i have tried to download the applet but on pushing the button it leads to a page saying "no privilege". please help in me getting the applet. also can the applet be modified to include more than two waves that is three or four.

best of luck to you in all your endeavours

warm regards
richard brown

Fu-Kwun Hwang

• Hero Member
• Posts: 3062
Re: Superposition Principle of Wave
« Reply #11 on: May 19, 2007, 12:54:47 am »
It should works fine now. May be you did not turn on the cookie feature for your browser.

massbuilder

• Newbie
• Posts: 1
Re: Superposition Principle of Wave
« Reply #12 on: January 27, 2008, 12:31:23 am »
laf

Thx.

tkele

• Newbie
• Posts: 1
Re: Superposition Principle of Wave
« Reply #13 on: June 13, 2008, 07:10:15 am »
thanks very good

j142

• Newbie
• Posts: 11
Re: Superposition Principle of Wave
« Reply #14 on: January 28, 2009, 02:29:16 pm »
Any sound file can be uploaded in this applet?

like that is available in fourier sysnthesis? so we can acually hear the effects like beats, cancellation of waves, addition of waves etc

Also if we add phase differece between the waves then it will be a perfect simulation to make anyone understand the wave superposition principle.

« Last Edit: January 28, 2009, 02:33:14 pm by j142 »