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What kind of function would represent a 3 dimensional sine wave?

A sine wave, where the z-axis lays on the circumference of a circle.

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- Thread starter Bradyns
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- #1

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What kind of function would represent a 3 dimensional sine wave?

A sine wave, where the z-axis lays on the circumference of a circle.

- #2

berkeman

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What kind of function would represent a 3 dimensional sine wave?

A sine wave, where the z-axis lays on the circumference of a circle.

What is the context of the question? The equation for a symmetric longitudinal wave in 3-D is straightforward, I think. But I'm not sure there is a solution for symmetric transverse waves in 3-D...

- #3

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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

- #4

berkeman

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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 = sin([itex]\sqrt{x^{2}+y^{2}}[/itex])

Oh, I misunderstood your question then. I thought you wanted it to be symmetric in 3 dimensions, not just 2.

- #5

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Oh, I misunderstood your question then. I thought you wanted it to be symmetric in 3 dimensions, not just 2.

Actually, that would be interesting..

Thank you for the assistance though. ^_^

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- #7

jasonRF

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I think like others I am not certain what the OP really meant, but I interpreted the question this way too - perhaps because I have a general interest in waves. Anyway, an example of a 3D plane wave would be:

[tex]

f(x,y,z,t) = \sin\left(k_x x + k_y y + k_z z - \omega t \right)

[/tex]

- #8

olivermsun

Science Advisor

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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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