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3dimensional wave propogation. 
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#1
Feb1913, 04:57 PM

P: 20

I thought the maths area would be the best place to ask..
What kind of function would represent a 3 dimensional sine wave? A sine wave, where the zaxis lays on the circumference of a circle. 


#2
Feb1913, 05:13 PM

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P: 41,109




#3
Feb1913, 05:27 PM

P: 20

Essentially, the function for this:
There isn't really a context, I'm not currently studying anything relating to this, it just interests me to see the behaviour of waves. I seem to have found it, by looking for an example image. z = sinx(√(x^{2}+y^{2})) 


#4
Feb1913, 05:28 PM

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P: 41,109

3dimensional wave propogation.



#5
Feb1913, 05:30 PM

P: 20

Thank you for the assistance though. ^_^ 


#6
Feb2013, 01:51 AM

P: 362

Just solve the wave equation in three dimensions, if you are only interested in isotropic propogation then set all the angular derivatives to zero.



#7
Feb2713, 06:49 PM

P: 693

[tex] f(x,y,z,t) = \sin\left(k_x x + k_y y + k_z z  \omega t \right) [/tex] 


#8
Feb2713, 08:59 PM

P: 788

The axisymmetric 2d wave is of interest in surface wave propagation from a point source. There you examine sin (krωt) where r= sqrt(x^2 + y^2).
The radially symmetric 3d wave arises for acoustic (pressure) waves emanating from a point source. The relevant plane wave has the form sin (kr  ωt) for r = sort(x^2 + y^2 + z^2) as jasonRF states above. 


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