Tagged Questions
0
votes
3answers
394 views
Sine wave, $\pi$ and frequency
Please explain the relation $\sin(2\pi ft)$ such that how the $\pi$ (which is actually circumference/diameter of a circle) relates with the sine wave which is having a longitudinal vibration?
1
vote
1answer
137 views
Time evolution of wave spectrum
A useful way of thinking (not only) oceanic waves is to consider them as a superimposition of linear modes: the elevation η of the sea surface is given by:
1: $\eta({\bf x}, t) = ...
0
votes
0answers
138 views
Fourier analysis for waves [closed]
If we have 1D wave equation:
$$\frac{\partial^2 \psi}{\partial x^2}=\frac{1}{c^2}\frac{\partial^2 \psi}{\partial t^2}$$
we say that it's always possible to decompose the generic solution ...
2
votes
1answer
1k views
Spherical wave as sum of plane waves
How can we do this computation?
$\iiint_{R^3} \frac{e^{ik'r}}{r} e^{ik_1x+k_2y+k_3z}dx dy dz$
where $r=\sqrt{x^2+y^2+z^2}$ ? I think we must use distributions...
Physically, it's equivalent to ...
