Software to demonstrate addition of SHO's

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A user is seeking simulation software to demonstrate the addition of waves with varying amplitudes, frequencies, and velocities, emphasizing the importance of visual aids for teaching phase and group velocities. Recommendations include PhET and NTNUJava, which offer simulations for wave addition and harmonics. NTNUJava specifically allows for adjustments in frequency and direction for co-linear waves, though it lacks dispersion features. The user also inquires about Mathematica's capabilities for this purpose and is in the process of downloading it.
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Hi

I am looking for a simulation software to demonstrate addition of waves with different amplitudes, frequencies , velocities. So I should be able to define , say , 2 to 3 component
waves and the output will give me the addition of these waves. I think showing actual
simulation helps students learn about phase and group velocities...

if anybody knows such software , preferably for windows , please let me know...

thanks
 
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Most I know of are additions of harmonics (aka. Fourier synthesis): Decent ones with different functions are on PhET and on the more obscure http://www.phy.ntnu.edu.tw/ntnujava/index.php#2" simulation sites.

One that allows you to change frequency and direction of to co-linear waves is on NTNUJava, but doesn't include the possibility of dispersion.

Edited to add: http://www.falstad.com/dispersion/"
 
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thanks for the reply. what about mathematica ? can it do these things ? i am currently
downloading it.
 
I deeply respect people who are engaged in self-education. Nevertheless the problem of self-education is as follows. A person reads textbooks and forms his own opinion about what he has read. Then he tries to solve a problem and faces the fact that his answer is not equal to the one in the end of the book. Then he goes to specialists and asks them what the story is. He expects that specialists will help him to solve the problem and they will do that by using his own understandings and...

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