Hello everyone,
In a 2D k-Wave simulation, for a point-source, should the considered geometrical spreading be 1/r (as a spherical wave as in 3D) or 1/sqrt(r) (as cylindrical wave as in a 2D plate). I am asking because the model is done in 2D, but I did not read anything about plane strain in the 2D elastic model considered.
Thanks!
-T
Hi tson,
The stress (pressure in the fluid case) in 2D will decay according to 1/sqrt(radius). You can consider anything that you define in 2D as being infinitely extended into the third dimension. For example, a point source in a 2D simulation will act as a cylindrical source. There are some more details in the Photoacoustic Waveforms in 1D, 2D and 3D Example.
Brad
Thanks Brad!
This is what I expected, because my 2D k-Wave elastic simulation waveforms matched the waveforms I obtained from my experiment exactly (medium was an aluminum block)! The model accurately predicted the amplitudes, time-of-flight, and phase for both longitudinal and shear modes.
-T
correction: 3D simulation*
Hi tson,
Glad to hear that you got a good match with experiments!
Brad.
Hi Bradley!
I am using k-wave for some 2D simulations of wave propagation and I was wondering about how geometrical spreading is taken into account. Do you divide only by sqrt(R), where R is the distance between source and receiver, or you also add some other normalization factors?
Thank you,
Simone Sternini
Hi Simone,
I'm not sure I follow your question. Do you mean how is geometric spreading taken into account in k-Wave? If so, then it's already built into the solution to the wave equation. To put it another way, the wave equation already accounts for geometric spreading, and k-Wave directly solves the wave equation numerically.
Brad.
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