Location

La Jolla, CA

Start Date

1-1-1998 12:00 AM

Description

This paper summarizes recent progress in work to develop computationally efficient means for evaluating phase integrals of the form ∫DA(s)exp(if(s))ds where A(s), f(s) are amplitude and phase factors, respectively, and D is a multiple dimension domain of either finite or infinite extent. Such integrals result from model formulations using Fourier transform methods or reciprocity integral/Green function methods. Numerical methods for evaluating such integrals are at the heart of computational models for most problems in ultrasonic radiation, transmission, and scattering.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

17A

Chapter

Chapter 4: NDE Sensors and Fields

Section

UT Sensors, Transducers and Fields

Pages

939-946

DOI

10.1007/978-1-4615-5339-7_121

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Uniform Evaluation of the Four Dimensional Transducer Transmission Phase Integral

La Jolla, CA

This paper summarizes recent progress in work to develop computationally efficient means for evaluating phase integrals of the form ∫DA(s)exp(if(s))ds where A(s), f(s) are amplitude and phase factors, respectively, and D is a multiple dimension domain of either finite or infinite extent. Such integrals result from model formulations using Fourier transform methods or reciprocity integral/Green function methods. Numerical methods for evaluating such integrals are at the heart of computational models for most problems in ultrasonic radiation, transmission, and scattering.