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An Analytical Model Of A Ferrite-Cored Inductor Used As An Eddy Current Probe, John R. Bowler, Yi Lu, Theodoros P. Theodoulidis Jan 2012

An Analytical Model Of A Ferrite-Cored Inductor Used As An Eddy Current Probe, John R. Bowler, Yi Lu, Theodoros P. Theodoulidis

John R. Bowler

An analytical model of an axisymmetric eddy current ferrite-cored probe above a multi-layered conducting half-space has been developed using a procedure in which the domain of the problem is truncated radially. This means that solutions can be expressed in the form of generalized Fourier-Bessel series. The expansion coefficients are found by matching the field across the interfaces between the subregions of the problem. Initially, the magnetic vector potential of a simple circular current filament is expanded in a series form. The solution is then modified to accommodate an infinitely long coaxial ferrite core, and the principle of superposition is invoked …


Evaluation Of Eddy-Current Probe Signals Due To Cracks In Fastener Holes, John R. Bowler, Theodoros P. Theodoulidis, Hui Xie, Yuan Ji Jan 2012

Evaluation Of Eddy-Current Probe Signals Due To Cracks In Fastener Holes, John R. Bowler, Theodoros P. Theodoulidis, Hui Xie, Yuan Ji

John R. Bowler

Cracks in conductors are detected through changes in the impedance of a coil that induces current in the material. In order to gain insight into the physics of the inspection, we have developed a theoretical and computational model that predicts the signals due to cracks in circular cylindrical holes using a boundary element calculation. In formulating the problem, the electromagnetic field is decomposed into transverse electric and transverse magnetic scalar modes. The effect of a planar crack in an electromagnetic field is represented by an electric current dipole layer orientated normal to the crack surface. The dipole density is determined …


Analysis Of Arc-Electrode Capacitive Sensors For Characterization Of Dielectric Cylindrical Rods, Tianming Chen, Nicola Bowler, John R. Bowler Jan 2012

Analysis Of Arc-Electrode Capacitive Sensors For Characterization Of Dielectric Cylindrical Rods, Tianming Chen, Nicola Bowler, John R. Bowler

John R. Bowler

An arc-electrode capacitive sensor has been developed for quantitative characterization of permittivity of cylindrical dielectric rods. The material property of the cylindrical test piece can be inversely determined from the sensor output capacitance based on a theoretical model. For the modeling process, the electrostatic Green’s function due to a point source exterior to a dielectric rod is derived. The sensor output capacitance is numerically calculated using the method of moments (MoM), in which the integral equation is set up based on the electrostatic Green’s function. Numerical calculations on sensor configuration optimization are performed. Calculations also demonstrate the quantitative relationship between …


Structures, Electronic Properties And Solid State Luminescence Of Cu(I) Iodide Complexes With 2,9-Dimethyl-1,10-Phenanthroline And Aliphatic Aminomethylphosphines Or Triphenylphosphine, Radoslaw Starosta, Malgorzata Puchalska, Joanna Cybinska, Maciej Barys, Anja V. Mudring Jan 2011

Structures, Electronic Properties And Solid State Luminescence Of Cu(I) Iodide Complexes With 2,9-Dimethyl-1,10-Phenanthroline And Aliphatic Aminomethylphosphines Or Triphenylphosphine, Radoslaw Starosta, Malgorzata Puchalska, Joanna Cybinska, Maciej Barys, Anja V. Mudring

Anja V. Mudring

The luminescent complexes of triphenylphosphine and two interesting aminomethylphosphines: P(CH2N(CH2CH2)2NCH3)3 and P(CH2N(CH2CH2)2O)3 with copper(I) iodide and 2,9-dimethyl-1,10-phenanthroline (dmp): [CuI(dmp)PPh3], [CuI(dmp)P(CH2N(CH2CH2)2NCH3)3] and [CuI(phen)P(CH2N(CH2CH2)2O)3] are presented in this work. These complexes were characterized in solution by means of NMR spectroscopy and their structures were crystallographically determined in the solid state. All complexes crystallize as the discrete dimers bound by π-stacking interactions between dmp rings. The coordination geometry about the Cu(I) centre is pseudo-tetrahedral showing small flattening and large rocking distortions. The investigated compounds exhibit intense orange photoluminescence in the solid state (emission peaks at r.t.: λmax = 588–592 nm; τ = 1.7–2.2 …


Influence Of Reactive Atmosphere On Properties Of Cobalt Ferrite Thin Films Prepared Using Pulsed-Laser Deposition, A. Raghunathan, David C. Jiles, J. E. Snyder Jan 2011

Influence Of Reactive Atmosphere On Properties Of Cobalt Ferrite Thin Films Prepared Using Pulsed-Laser Deposition, A. Raghunathan, David C. Jiles, J. E. Snyder

David C. Jiles

A series of cobaltferrite (CFO) thin films were grown on SiO2/Si(100) substrates using pulsed-laser deposition (PLD) at substrate temperature (T DEP) of 250 °C and oxygen pressures (P O2) from 0.67 to 6.7 Pa. The influence of PO2 on crystal structure, phase mixture, deposition rate, and magnetic properties was investigated. It is shown in this study that there is a window of PO2 for optimized growth of nanograined CFO films at low T DEP and that either higher or lower values of PO2 produce undesirable multiphase mixtures. CFO filmsgrown at such low substrate temperature and optimized oxygen pressure on thermal …


Evaluation Of The Transient Potential Drop Of A Four-Point Probe, John R. Bowler Jan 2011

Evaluation Of The Transient Potential Drop Of A Four-Point Probe, John R. Bowler

John R. Bowler

The time-dependent voltage across the pick-up electrodes of a four point probe has been determined analytically for a transient current pulse injected into a thick conductive plate modeled as a half-space. This is a step towards analyzing more complex transient four point probe signals from measurements on inhomogeneous conductors. Potential applications include the evaluation of depth-dependent conductivity profiles in metals and semiconductors. The analysis of homogeneous conductors shows how the signals are characterized by a time constant of the drive current and additional time constants dependent on the electromagnetic material properties and electrode spacings


Growth Of Crystalline Cobalt Ferrite Thin Films At Lower Temperatures Using Pulsed-Laser Deposition Technique, A. Raghunathan, David C. Jiles, Ikenna C. Nlebedim Jan 2010

Growth Of Crystalline Cobalt Ferrite Thin Films At Lower Temperatures Using Pulsed-Laser Deposition Technique, A. Raghunathan, David C. Jiles, Ikenna C. Nlebedim

David C. Jiles

Cobaltferritethin films were grown on SiO2/Si(100) substrates using pulsed-laser deposition technique at substrate temperatures ranging from 250 to 600 °C. Thermal expansion mismatch between the film and substrate appears to have a substantial effect on the magnetic properties of the cobaltferritefilms, due to the large magnetoelastic coupling of cobaltferrite. It was shown in this study, that polycrystalline films with (111)-preferred orientation could be prepared at substrate temperatures as low as 250 °C. The growth of crystalline cobaltferritefilms at such low temperatures indicates the potential to use cobaltferrite for microelectromechanical systemsdevices and sensor applications including integration with a wider range of …


Resistivity Recovery In Gd5si2.09ge1.91 By Annealing, Ravi L. Hadimani, David C. Jiles Jan 2010

Resistivity Recovery In Gd5si2.09ge1.91 By Annealing, Ravi L. Hadimani, David C. Jiles

David C. Jiles

Irreversible change in resistivity occurs in Gd5(SixGe1−x)4 (with 0.41


On The Interaction Of An Eddy Current Coil With A Right-Angled Conductive Wedge, John R. Bowler, Theodoros Theodoulidis Jan 2010

On The Interaction Of An Eddy Current Coil With A Right-Angled Conductive Wedge, John R. Bowler, Theodoros Theodoulidis

John R. Bowler

A fundamental problem in eddy-current nondestructive evaluation is one of finding the quasi-static electromagnetic field of a cylindrical coil in the vicinity of the edge of a metal block. Although the field can be calculated numerically, an effective analytical approach can potentially provide a better understanding of the edge fields and form the basis of a procedure for solving a whole class of related edge problems including edge structures that contain corner cracks. One can represent the metal block as a conductive quarter space in an unbounded region. However, it has been found that the analysis is more straightforward if …


Generalized Form Of Anhysteretic Magnetization Function For Jiles–Atherton Theory Of Hysteresis, A. Raghunathan, Y. Melikhov, J. E. Snyder, David C. Jiles Jan 2009

Generalized Form Of Anhysteretic Magnetization Function For Jiles–Atherton Theory Of Hysteresis, A. Raghunathan, Y. Melikhov, J. E. Snyder, David C. Jiles

David C. Jiles

A generalized form of anhysteretic magnetization function to extend Jiles–Atherton theory to different forms of anisotropy has been derived. The general equation for the function has been compared with those of calculations made on the basis of known equations for specific cases: axially anisotropic (one-dimensional), planar anisotropic (two-dimensional), and isotropic (three-dimensional). The Jiles–Atherton model using the proposed functional form of generalized anhysteretic magnetization function for anisotropy dependence has been validated and the necessary equations derived. It has been shown in this work that this functional form of anhysteretic magnetization with necessary boundary conditions can be reduced to the familiar specific …


Field Induced Structural Phase Transition At Temperatures Above The Curie Point In Gd5(Sixge1−X)4, Ravi L. Hadimani, Y. Melikhov, J. E. Snyder, David C. Jiles Jan 2009

Field Induced Structural Phase Transition At Temperatures Above The Curie Point In Gd5(Sixge1−X)4, Ravi L. Hadimani, Y. Melikhov, J. E. Snyder, David C. Jiles

David C. Jiles

Gd5(SixGe1−x)4 exhibits a field induced first order phase transition from a monoclinic paramagnetic to an orthorhombic ferromagnetic at temperatures above its Curie temperature for 0.41≤x≤0.51. The field required to induce the transition increases with temperature. This field induced first order phase transition was observed even above the projected second order phase transitiontemperature of the orthorhombic phase. This may be due to the fact that the applied magnetic field is so high that it causes the broadening to a wider range of higher temperatures of the second order phase transition of the orthorhombic phase, and at such high magnetic fields the …


Temperature Dependence Of Magnetic Anisotropy Of Germanium/Cobalt Cosubstituted Cobalt Ferrite, N. Ranvah, Y. Melikhov, Ikenna C. Nlebedim, David C. Jiles, J. E. Snyder, A. J. Moses, P. I. Williams Jan 2009

Temperature Dependence Of Magnetic Anisotropy Of Germanium/Cobalt Cosubstituted Cobalt Ferrite, N. Ranvah, Y. Melikhov, Ikenna C. Nlebedim, David C. Jiles, J. E. Snyder, A. J. Moses, P. I. Williams

David C. Jiles

The variations in magnetization and magnetic anisotropy of Ge4+/Co2+ cosubstituted cobaltferrite with temperature were investigated for a series of compositions Co1+xGexFe2−2xO4 (0≤x≤0.4). The magnetization at 5 T and low temperature were observed to increase for all Ge/Co cosubstituted samples compared to pure CoFe2O4. Hysteresis loops were measured for each sample over the magnetic field range of −5 T to +5 T for temperatures in the range of 10–400 K. The high field regions of these loops were modeled using Law of Approach to saturation, which represents the rotational and forced magnetization processes. The first order cubic magnetocrystalline anisotropy coefficient K1 …


Estimation Of Second Order Phase Transition Temperature Of The Orthorhombic Phase Of Gd5(Sixge1−X)4 Using Arrott Plots, Ravi L. Hadimani, Y. Melikhov, J. E. Snyder, David C. Jiles Jan 2008

Estimation Of Second Order Phase Transition Temperature Of The Orthorhombic Phase Of Gd5(Sixge1−X)4 Using Arrott Plots, Ravi L. Hadimani, Y. Melikhov, J. E. Snyder, David C. Jiles

David C. Jiles

Gd5(SixGe1−x)4 for 0.41⩽x⩽0.5 is orthorhombic and ferromagnetic at lower temperature, monoclinic and paramagnetic at higher temperature, and shows a first order magnetic-structural phase transition between the two. Magnetic moment versus magnetic field (MH) isotherms were measured just above the first order transitiontemperature for Gd5Si1.95Ge2.05 and Gd5Si2Ge2 samples and the field-induced coupled phase transition from paramagnetic/monoclinic to ferromagnetic/orthorhombic phase was observed. Using the method developed by Arrott [Phys. Rev.108, 1394 (1957)], the ferromagnetic portions of the MH isotherms were used to project the second order magnetic phase transitiontemperature of the orthorhombic phase, a region where the transition does not occur due …


Including Effects Of Microstructure And Anisotropy In Theoretical Models Describing Hysteresis Of Ferromagnetic Materials, H. Hauser, Y. Melikhov, David C. Jiles Jan 2007

Including Effects Of Microstructure And Anisotropy In Theoretical Models Describing Hysteresis Of Ferromagnetic Materials, H. Hauser, Y. Melikhov, David C. Jiles

David C. Jiles

Two recent theoreticalhysteresis models (Jiles-Atherton model and energetic model) are examined with respect to their capability to describe the dependence of the magnetization on magnetic field, microstructure, and anisotropy. It is shown that the classical Rayleigh law for the behavior of magnetization at low fields and the Stoner-Wohlfarth theory of domain magnetization rotation in noninteracting magnetic single domain particles can be considered as limiting cases of a more general theoretical treatment of hysteresis in ferromagnetism.


Error Analysis For The Numerical Evaluation Of The Diagonal Forms Of The Scalar Spherical Addition Theorem, S. Koc, Jiming Song, W. C. Chew Jan 1999

Error Analysis For The Numerical Evaluation Of The Diagonal Forms Of The Scalar Spherical Addition Theorem, S. Koc, Jiming Song, W. C. Chew

Jiming Song

The numerical solution of wave scattering from large objects or from a large cluster of scatterers requires excessive computational resources and it becomes necessary to use approximate -but fast - methods such as the fast multipole method; however, since these methods are only approximate, it is important to have an estimate for the error introduced in such calculations. An analysis of the error for the fast multipole method is presented and estimates for truncation and numerical integration errors are obtained. The error caused by polynomial interpolation in a multilevel fast multipole algorithm is also analyzed. The total error introduced in …


Eddy Current Interaction With An Ideal Crack, Part I: The Forward Problem, John R. Bowler Jan 1994

Eddy Current Interaction With An Ideal Crack, Part I: The Forward Problem, John R. Bowler

John R. Bowler

The impedance of an eddy-current probe changes when the current it induces in an electrical conductor is perturbed by a flaw such as a crack. In predicting the probe signals, it is expedient to introduce idealizations about the nature of the flaw. Eddy-current interaction is considered with an ideal crack having a negligible opening and acting as a impenetrable barrier to electric current. The barrier gives rise to a discontinuity in the electromagnetic field that has been calculated by finding an equivalent electrical source distribution that produces the same effect. The choice of source is between a current dipole layer …


Eddy-Current Interaction With An Ideal Crack. Ii. The Inverse Problem, John R. Bowler, David Harrison, Steve Norton Jan 1994

Eddy-Current Interaction With An Ideal Crack. Ii. The Inverse Problem, John R. Bowler, David Harrison, Steve Norton

John R. Bowler

Eddy-current inversion is the process whereby the geometry of a flaw in a metal is derived from electromagnetic probe measurements. An inversion scheme is described for finding the shape and size of cracks from eddy-current probe impedance measurements. The approach is based on an optimization scheme that seeks to minimize a global error function quantifying the difference between predicted and observed probe impedances. The error minimum is sought using a standard descent algorithm that requires a knowledge of the gradient of the error with respect to a variation of the flaw geometry. Computation of the gradient is based on a …