Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections

Albanese, Richard A.; Banks, Harvey Thomas; Raye, Julie K.

doi:10.1088/0266-5611/18/6/330

Cited by 17 publications

(30 citation statements)

References 18 publications

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“…The forward problem for a Debye medium: First test case. As discussed in Section 3.3, the pressure dependent parameters s , ∞ , and τ are represented as a mean value plus a perturbation that is proportional to the pressure in equations (38) (as discussed in [ABR02]). In our first test case, we present numerical simulations for a Debye medium that is similar to water.…”

Section: Pressure Dependence Of Polarizationmentioning

confidence: 99%

A computational and statistical framework for multidimensional domain acoustooptic material interrogation

Banks

Bokil

2005

Quart. Appl. Math.

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Abstract. We consider an electromagnetic interrogation technique in two and three dimensions for identifying the dielectric parameters (including the permittivity, the conductivity and the relaxation time) of a Debye medium. In this technique, a travelling acoustic pressure wave in the Debye medium is used as a virtual reflector for an interrogating microwave electromagnetic pulse that is generated in free space. The reflections of the microwave pulse from the air-Debye interface and from the acoustic pressure wave are recorded at a remote antenna. The data is used in an inverse problem to estimate the locally pressure dependent dielectric parameters of the Debye medium. We present a time domain formulation that is solved using finite differences (FDTD) in time and in space. Perfectly matched layer (PML) absorbing boundary conditions are used to absorb outgoing waves at the finite boundaries of the computational domain, preventing spurious reflections from reentering the domain.Using the method of least squares for the parameter identification problem, we compare two different algorithms (the gradient based Levenberg-Marquardt method and the gradient free, simplex based Nelder-Mead method) in solving an inverse problem to calculate estimates for two or more dielectric parameters. Finally we use statistical error analysis to construct confidence intervals for all the presented estimates, thereby providing a probabilistic statement about the computational procedure with uncertainty aspects of estimates.

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Section: Pressure Dependence Of Polarizationmentioning

confidence: 99%

A computational and statistical framework for multidimensional domain acoustooptic material interrogation

Banks

Bokil

2005

Quart. Appl. Math.

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“…The work in this paper is based on ideas underlying the techniques formulated in [BBL00] and [ABR02]. In [BBL00], the authors present an electromagnetic interrogation technique for general dispersive media backed by either a perfect conducting wall to reflect the electromagnetic waves, or by using standing acoustic waves as virtual reflectors.…”

Section: Performing Organization Name(s) and Address(es)mentioning

confidence: 99%

“…In [BBL00], the authors present an electromagnetic interrogation technique for general dispersive media backed by either a perfect conducting wall to reflect the electromagnetic waves, or by using standing acoustic waves as virtual reflectors. In [ABR02], this work was extended to using travelling waves as acoustic reflectors. In both cases the techniques were demonstrated in one dimension by assuming plane electromagnetic waves impinging at normal incidence on slabs of dispersive media.…”

Section: Performing Organization Name(s) and Address(es)mentioning

confidence: 99%

“…However, the object of interrogation may not be backed by perfect conductor walls in many important applications, and hence one seeks another type of interface which will reflect the propagating electromagnetic pulses. It is therefore of great importance to ascertain (computationally and experimentally) whether the interrogation ideas of [ABR02] using acoustic pressure waves as virtual reflectors can be effective in multidimensional settings. The goal of this paper is the investigation of computational and statistical aspects of this methodology in higher dimensions.…”

Section: Performing Organization Name(s) and Address(es)mentioning

confidence: 99%

“…We consider a pressure dependent Debye model for orientational polarization first developed in [ABR02]. We assume that the material dependent parameters in the differential equation (35) for the Debye medium depend on pressure p, i.e.,…”

Section: Pressure Dependence Of Polarizationmentioning

confidence: 99%

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A Computational and Statistical Framework for Multidimensional Domain Acoustooptic Material Interrogation

Banks¹,

Bokil²

2005

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We consider an electromagnetic interrogation technique in two and three dimensions for identifying the dielectric parameters (including the permittivity, the conductivity and the relaxation time) of a Debye medium. In this technique a travelling acoustic pressure wave in the Debye medium is used as a virtual reflector for an interrogating microwave electromagnetic pulse that is generated in free space. The reflections of the microwave pulse from the air-Debye interface and from the acoustic pressure wave are recorded at a remote antenna. The data is used in an inverse problem to estimate the locally pressure dependent dielectric parameters of the Debye medium. We present a time domain formulation that is solved using finite differences (FDTD) in time and in space. Perfectly matched layer (PML) absorbing boundary conditions are used to absorb outgoing waves at the finite boundaries of the computational domain, preventing spurious reflections from reentering the domain.Using the method of least squares for the parameter identification problem, we compare two different algorithms (the gradient based Levenberg-Marquardt method, and the gradient free, simplex based Nelder-Mead method) in solving an inverse problem to calculate estimates for two or more dielectric parameters. Finally we use statistical error analysis to construct confidence intervals for all the presented estimates, thereby providing a probabilistic statement about the computational procedure with uncertainty aspects of estimates.Keywords: Electromagnetic-acoustic interaction, Debye dielectric materials, pulsed antenna source microwaves, inverse problems, FDTD, statistical inference. † email: htbanks@ncsu.edu ‡ email: vabokil@ncsu.edu 1 Report Documentation Page Form Approved OMB No. 0704-0188Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.

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A computational approach for robust nondestructive test design maximizing characterization capabilities for solids and structures subject to uncertainty

Notghi

Brigham

2015

Numerical Meth Engineering

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SUMMARYA robust approach to nondestructive test (NDT) design for material characterization and damage identification in solids and structures is presented and numerically evaluated. The generally applicable approach combines maximization of test sensitivity with minimization of test information redundancy, while simultaneously minimizing the effects of uncertain system parameters to determine optimal NDT parameters for robust nondestructive evaluation. In addition, to maintain reasonable computational expense while also allowing for general applicability, a stochastic collocation technique is presented for the quantification of uncertainty in the robust design metrics. The robust NDT design approach was tested through simulated case studies based on the characterization of localized variations in Young's modulus distributions in aluminum structural components utilizing steady-state dynamic surface excitation and localized measurements of displacement and compared with a purely deterministic NDT design approach. The robust design approach is shown to produce substantially different NDT designs than the analogous deterministic strategy. More importantly, the robust NDT designs are shown to provide significant improvements in the ability to accurately nondestructively evaluate structural properties for the cases considered, when there is significant uncertainty in system parameters and/or aspects of the NDT implementation.

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Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections

Cited by 17 publications

References 18 publications

A computational and statistical framework for multidimensional domain acoustooptic material interrogation

A computational and statistical framework for multidimensional domain acoustooptic material interrogation

A Computational and Statistical Framework for Multidimensional Domain Acoustooptic Material Interrogation

A computational approach for robust nondestructive test design maximizing characterization capabilities for solids and structures subject to uncertainty

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