Microcomputer simulation of a Fourier approach to ultrasonic wave propagation.
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Authors
Reid, William H.
Subjects
2-D spatial Fourier transform
Green's function
spatial impulse response
diffraction
pulsed waves
ultrasonic propagation
Green's function
spatial impulse response
diffraction
pulsed waves
ultrasonic propagation
Advisors
Pieper, Ron J.
Powers, John P.
Date of Issue
1992-12
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
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.
Type
Thesis
Description
Series/Report No
Department
Electrical Engineering
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
94 p.;28 cm.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.