|Nov16-06, 05:00 AM||#1|
Calculating the Vertical Wavenumber for a Sonar Transducer
I am interested in calculating the vertical wavenumber from an acoustic
field radiated by a sonar
transducer. Suppose that I know the pressure p at every point on a 2-D
grid. Is the phase (theta) given by
theta = atan((dp/dy)/(dp/dx))
, where dp/dz is thederivative of the pressure field in the y-direction, and
dp/dx is the derivative of the field in the x-direction? Then, would the
vertical wavenumber (k_x) be given by
k_x = dtheta/dx
, where dtheta/dx is the derivative of the phase with respect to the
x-direction? I have numerically calculated the field of the transducer on a
2-D grid, and I am wondering if the vertical wavenumber can be found uising
the two equations given above.
How would I find the average wavenumber of the transducer in the medium?
Would I average (and take the mean) of all values over the entire grid?
Thank you ever so much for your time and assistance!
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