Maxwell's Equations

Huray, Paul G.

doi:10.1002/9780470549919

Cited by 35 publications

(28 citation statements)

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“…However, the radial component ζ is required in the computation of its surrounding fields' components; therefore, the integral form of Ampere's law [15] was used to solve this singularity problem and the subsequent ones. The idea is to integrate the magnetic field along a small contour C enclosing that singularity to obtain the electric field.…”

Section: Fdtd Grid Singularitiesmentioning

confidence: 99%

Spheroidal FDTD Method for Modeling 3-D Structures in Open and Closed Domains

Al-Hasson

Schoebel

2015

IEEE Trans. Antennas Propagat.

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A Finite Difference Time Domain (FDTD) method for analyzing spheroidal open and closed structures is introduced. Its mathematical equations are derived and discretized according to a designed geometrical model. The field's singularities at the domain's center and vertical axis are dealt with by deriving alternative field formulas. The method is then extended to open domains by deriving an absorbing boundary condition. The stability of the obtained model is determined by deriving its mathematical condition. Finally, the method is used to characterize spheroidal cavities and a conformal patch antenna. Index Terms-Finite Difference Time Domain, FDTD, spheroidal cavities, and spheroidal patch.

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Section: Fdtd Grid Singularitiesmentioning

confidence: 99%

Spheroidal FDTD Method for Modeling 3-D Structures in Open and Closed Domains

Al-Hasson

Schoebel

2015

IEEE Trans. Antennas Propagat.

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“…The data generated in this range are related to the molecular and combined dipolar fluctuation, the effects of polarization, and the charge transport emerging inside the material boundaries ( Figure 2). The interaction between electromagnetic waves and matter are characterized in detail using Maxwell's equations [2]. The material system is made of numerous polarization mechanisms such as dipolar (orientational), ionic (molecular), interfacial (Maxwell-Wagner-Sillars), electronic polarization and hopping charge polarization [3].…”

Section: Broadband Dielectric Spectroscopy (Bbds)mentioning

confidence: 99%

Predicting Adhesive Bond Performance Based on Initial Dielectric Properties

Banerjee¹,

Elenchezhian²,

Vadlamudi³

et al. 2017

American Society for Composites 2017

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In recent years, there has been a widespread growth in the application of composite materials particularly in the Aerospace and Automotive sectors. This is because composite structures are generally comparatively light in weight and provide corrosion and wear resistance as compared to metals or ceramics. Due to the strict fail-safe philosophy of the aerospace industry, the certification approach for current practice in joining composite materials is to thicken the joining areas and to use numerous fasteners which in turn increases the weight and stress concentrations in the structure. The use of adhesive bonding can improve the stress distribution between the composite materials / dissimilar materials and can contribute to a lighter structure. However, there much investigation is yet to be done in this discipline to predict the bond strength and performance using non-destructive evaluation methods. This paper will focus on an approach to study the mechanical as well as the dielectric properties of an adhesive bond. The dielectric testing is done by using Broadband Dielectric Spectroscopy (BbDS), wherein the dielectric characteristics of the material are analyzed in a wide frequency spectrum. The data obtained by this technique are used to demonstrate the charge transport, the combined dipolar fluctuation, and the effects of polarization occurring between the boundaries of materials. The continuous modifications of the dielectric spectra are due to the changes in the electrical and structural interactions between the particles, shapes, and orientations of the constituent phases of the morphological structure of the material system. Information about the morphologies, impurities/contamination or interaction of the dissimilar surfaces of the pristine bond can be obtained from the initial BbDS properties. The dielectric properties for adhesively bonded composites with different surface adhesion properties have shown promising evidence of predicting the final mechanical performance of the bonded material system. The success and limitations of this approach will be discussed, and needs for continued investigation identified

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“…The transmitted energy is reflected from subsurface features, and then the reflected wave is recorded digitally at the receiver antenna. The basic principles of GPR are the Maxwell's equations (Huray, ).

\nabla \times H = J + \frac{\partial D}{\partial t}

\nabla \times E = - \frac{\partial B}{\partial t}

\nabla \cdot D = ρ_{f}

\nabla \cdot B = 0

where H is magnetic field intensity; J is free current density; D is electric displacement field; t is time; E is electric field intensity; B is magnetic field; p f is total free charge density.…”

Section: Basic Principle Of Gprmentioning

confidence: 99%

Measurement of stream cross section using ground penetration radar with Hilbert–Huang transform

Chen

Kao

2013

Hydrological Processes

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Abstract:This study presents a new method to measure stream cross section without having contact with water. Compared with conventional measurement methods which apply instruments such as sounding weight, ground penetration radar (GPR), used in this study, is a non-contact measurement method. This non-contact measurement method can reduce the risk to hydrologists when they are conducting measurements, particularly in high flow period. However, the original signals obtained by using GPR are very complex, different from studies in the past where the measured data were mostly interpreted by experts with special skill or knowledge of GPR so that the results obtained were less objective. This study employs Hilbert-Huang transform (HHT) to process GPR signals which are difficult to interpret by hydrologists. HHT is a newly developed signal processing method that can not only process the nonlinear and non-stationary complex signals, but also maintain the physical significance of the signal itself. Using GPR with HHT, this study establishes a non-contact stream cross-section measurement method with the ability to measure stream cross-sectional areas precisely and quickly. Also, in comparison with the conventional method, no significant difference in results is found to exist between the two methods, but the new method can considerably reduce risk, measurement time, and manpower. It is proven that the non-contact method combining GPR with HHT is applicable to quickly and accurately measure stream cross section.

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Maxwell's Equations

Cited by 35 publications

References 0 publications

Spheroidal FDTD Method for Modeling 3-D Structures in Open and Closed Domains

Spheroidal FDTD Method for Modeling 3-D Structures in Open and Closed Domains

Predicting Adhesive Bond Performance Based on Initial Dielectric Properties

Measurement of stream cross section using ground penetration radar with Hilbert–Huang transform

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