Microcomputer simulation of a Fourier approach to ultrasonic wave propagation.
Reid, William H.
Pieper, Ron J.
Powers, John P.
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This thesis uses linear systems approach and the Fourier transform as the basis for a microcomputer program to model pulsed ultrasonic wave propagation. The program computes the acoustic potential in a plane at a given distance from the source. The mathematical development establishes the importance of the total impulse response as the Green's function, meeting the boundary conditions and solving the wave equation. Four excitation functions are presented. The square and circular piston excitations are used to verify the program. Excitation functions also modeled are the circularly truncated Gaussian distribution and the circularly truncated Bessel profile. All programs were written using the MATLAB software package. This work provides a computationally efficient means to analyze pulsed ultrasonic wave propagation as a spatially filtered source.
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