Location

La Jolla, CA

Start Date

1-1-1998 12:00 AM

Description

The purpose of this work is to describe the implementation of a numerical Hankel-Laplace inverter for computing thermoelastic laser generated ultrasound waves in isotropic solids. It was found in this work that numerical error controls that were generally adequate, for common laser pulse parameters and material properties, were not given in the literature. The authors also found that there were no numerical values available in the literature [1,2], which researchers could use for comparison while developing their own computer codes. In this work, a numerical Hankel inverter is described for computing laser generated ultrasound waves. Empirically developed error controls, for both the Hankel and Laplace inverters, are also described, and the difficulties in implementing these inverters are discussed. Numerical values of waveforms are given at the end, which future researchers may use as benchmarks for developing their own computer programs. Note that space limitations did not permit a complete description of the numerical methods here, and the interested reader is referred to Sanderson [3].

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

17A

Chapter

Chapter 2: Emerging Technologies

Section

Laser/Optical Ultrasonics

Pages

659-666

DOI

10.1007/978-1-4615-5339-7_85

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Numerical Methods for Computing Laser Generated Ultrasound Waves

La Jolla, CA

The purpose of this work is to describe the implementation of a numerical Hankel-Laplace inverter for computing thermoelastic laser generated ultrasound waves in isotropic solids. It was found in this work that numerical error controls that were generally adequate, for common laser pulse parameters and material properties, were not given in the literature. The authors also found that there were no numerical values available in the literature [1,2], which researchers could use for comparison while developing their own computer codes. In this work, a numerical Hankel inverter is described for computing laser generated ultrasound waves. Empirically developed error controls, for both the Hankel and Laplace inverters, are also described, and the difficulties in implementing these inverters are discussed. Numerical values of waveforms are given at the end, which future researchers may use as benchmarks for developing their own computer programs. Note that space limitations did not permit a complete description of the numerical methods here, and the interested reader is referred to Sanderson [3].