Effects of a finite aperture on the Inverse Born Approximation

Conference · Sat Jan 01 04:00:00 EST 1983

OSTI ID:5706534

Kogan, V G; Rose, J H

One of the most important effects of complex part geometry is that the available entrance and exit angles for ultrasound are limited. We will present a study of the Inverse Born approximation in which we have data for incident (and exit) directions confined to a conical aperture. Modeling the direct problem by the Born Approximation, we obtained analytical results for (1) a weak spherical inclusion, and (2) a penny shaped crack (modeled by an oblate spheroid). General results are: (a) the value of the characteristic function ..gamma.. is constant in the interior of the flaw, but reduced in value; (b) the discontinuity at the boundary of the flaw occurs over the lighted portion of the flaw; (c) this discontinuity is contrasted by a region where ..gamma.. is negative; and (d) new non-physical discontinuities and non-analyticities appear in the reconstructed characteristic function. These general features also appear in numerical calculations which use as input strong scattering data from a spherical void and a flat penny shaped crack in Titanium. The numerical results can be straightforwardly interpreted in terms of the analytical calculation mentioned above, indicating that they will be useful in the study of realistic flaws. We conclude by discussing the stabilization of the aperture limited inversion problem and the removal of non-physical features in the reconstruction.

• Research Organization: Ames Lab., IA (USA)
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 5706534
• Report Number(s): IS-M-441; CONF-830811-13; ON: DE83018086
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420500* -- Engineering-- Materials Testing
ACOUSTIC TESTING
ANALYTICAL SOLUTION
APERTURES
BORN APPROXIMATION
CRACKS
DEFECTS
FUNCTIONS
MATERIALS TESTING
NONDESTRUCTIVE TESTING
OPENINGS
RESPONSE FUNCTIONS
TESTING
ULTRASONIC TESTING
VOIDS