Location

Brunswick, ME

Start Date

1-1-1990 12:00 AM

Description

Inverse scattering models, of the type that are often used to invert eddy-current data, are inherently nonlinear, because they involve the product of two unknowns, the flaw conductivity, and the true electric field within the flaw. Computational inverse models, therefore, often linearize the problem by assuming that the electric field within the flaw is known a priori. In this paper we describe how conjugate gradients might be applied to solve the nonlinear problem. The model is developed for an anisotropic material such as graphite epoxy, and is based on a method-of-moment discretization of two coupled integral equations.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

9A

Chapter

Chapter 1: Fundamentals of Classical Techniques

Section

C: Eddy Currents

Pages

343-349

DOI

10.1007/978-1-4684-5772-8_42

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

A Rigorous Model for Inverting Eddy-Current Data

Brunswick, ME

Inverse scattering models, of the type that are often used to invert eddy-current data, are inherently nonlinear, because they involve the product of two unknowns, the flaw conductivity, and the true electric field within the flaw. Computational inverse models, therefore, often linearize the problem by assuming that the electric field within the flaw is known a priori. In this paper we describe how conjugate gradients might be applied to solve the nonlinear problem. The model is developed for an anisotropic material such as graphite epoxy, and is based on a method-of-moment discretization of two coupled integral equations.