Calculating the Vertical Wavenumber for a Sonar Transducer

by Nicholas Kinar
Tags: sonar, transducer, vertical, wavenumber
 P: n/a 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! Nicholas

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