Author
William F. Hall
Bio: William F. Hall is an academic researcher from Rockwell International. The author has contributed to research in topics: Maxwell's equations & Discretization. The author has an hindex of 14, co-authored 40 publications receiving 746 citations.
Papers
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TL;DR: In this paper, the differential form of the time-domain Maxwell's equations are first cast in a conservation form and then solved using a finite-volume discretization procedure derived from proven Computational Fluid Dynamics (CFD) methods.
Abstract: For computation of electromagnetic scattering from layered objects, the differential form of the time-domain Maxwell's equations are first cast in a conservation form and then solved using a finite-volume discretization procedure derived from proven Computational Fluid Dynamics (CFD) methods 1 . The formulation accounts for any variations in the material properties (time, space, and frequency dependent), and can handle thin resistive sheets and lossy coatings by positioning them at finite-volume cell boundaries. The time-domain approach handles both continuous wave (single frequency) and pulse (broadband frequency) incident excitation. Arbitrarily shaped objects are modeled by using a body-fitted coordinate transformation. For treatment of complex internal/external structures with many material layers, a multizone framework with ability to handle any type of zonal boundary conditions (perfectly conducting, flux through, zero flux, periodic, nonreflecting outer boundary, resistive card, and lossy ...
176 citations
TL;DR: The Lax-Wendroff explicit scheme is used to solve the discrete Maxwell's equations and as a result, second-order accuracy is achieved in both time and space.
151 citations
TL;DR: In this article, the surface and bulk critical exponents of NiO were determined using the molecular field model and qualitative scaling arguments, and it was shown that the surface exchange interaction is weaker than the bulk exchange interaction.
74 citations
13 Jun 1989
57 citations
TL;DR: The first experimental determination of the complex conductivity s Sigma/sub 1/(T) and sigma/sub 2/( T) of superconducting oriented polycrystalline thin films of Bi-Ca-Sr-Cu-O has been made at 60 GHz.
Abstract: The first experimental determination of the complex conductivity ${\ensuremath{\sigma}}_{1}(T)$ and ${\ensuremath{\sigma}}_{2}(T)$ of superconducting oriented polycrystalline thin films of Bi-Ca-Sr-Cu-O has been made at 60 GHz. A sharp rise in ${\ensuremath{\sigma}}_{1}$ is observed below ${T}_{c}$. The microwave data can be fit by a model of superconducting grains nucleating in a normal conducting matrix. The penetration depth at 40 K deduced from this model is 1.3 \ensuremath{\mu}m.
38 citations
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TL;DR: In this article, the authors present a review of channeling and blocking effects in a monocrystalline solid, and some of the applications of these effects, as well as a survey of the published literature.
Abstract: The motion of energetic charged particles inside a monocrystalline solid can be strongly influenced by channeling and blocking effects. The present article reviews the theory, the experimental studies, and some of the applications of these effects. The coverage of the published literature extends through June 1973.
1,204 citations
01 Dec 2005
TL;DR: The principal computational approaches for Maxwell's equations included the high-frequency asymptotic methods of Keller (1962) as well as Kouyoumjian and Pathak (1974) and the integral equation techniques of Harrington (1968) .
Abstract: Prior to abour 1990, the modeling of electromagnetic engineering systems was primarily implemented using solution techniques for the sinusoidal steady-state Maxwell's equations. Before about 1960, the principal approaches in this area involved closed-form and infinite-series analytical solutions, with numerical results from these analyses obtained using mechanical calculators. After 1960, the increasing availability of programmable electronic digital computers permitted such frequency-domain approaches to rise markedly in sophistication. Researchers were able to take advantage of the capabilities afforded by powerful new high-level programming languages such as Fortran, rapid random-access storage of large arrags of numbers, and computational speeds that were orders of magnitude faster than possible with mechanical calculators. In this period, the principal computational approaches for Maxwell's equations included the high-frequency asymptotic methods of Keller (1962) as well as Kouyoumjian and Pathak (1974) and the integral equation techniques of Harrington (1968) .
941 citations
TL;DR: A convergent high-order accurate scheme for the solution of linear conservation laws in geometrically complex domains and demonstrates the versatility, flexibility, and robustness when solving two- and three-dimensional benchmark problems in computational electromagnetics.
763 citations
24 Apr 2012
TL;DR: This chapter illustrates the theoretical basics, the critical solving techniques and the typical skills involved in FEM through solving of the above three specific problems, including the open-domain scattering problem and radiating problems.
Abstract: The finite-element method (FEM) is a full-wave numerical method that discretizes the variational of a functional. The evolution of this method within the scope of electromagnetics traces back to the solving of two classes of problems, namely, the eigenmode problems and the deterministic problems. If we try to use some examples to illustrate the most typical and the most complete techniques with the most complete solution, the eigenmode problem of a dielectrically loaded waveguide and the wave propagation in a three-dimensional (3D) discontinuous waveguide are good candidates representing the eigenmode and the closed-domain solutions, respectively. As for the open-domain scattering problem and radiating problems, the authors consider the essential and key parts are presented in solving the 3D scattering problems. For this reason, we will illustrate the theoretical basics, the critical solving techniques and the typical skills involved in FEM through solving of the above three specific problems. At the end of this chapter, we will also briefly review the FEM solution for some other problems.
763 citations
TL;DR: In this paper, the state of the art and current understanding of the phenomenology associated with magnetoplasmonic structures where magnetism and plasmonics are intertwined are reviewed. But the authors do not consider the effect of the external magnetic field on the properties of the magneto-optical components.
Abstract: Nanosystems with combined magnetic and plasmonic functionalities have in recent years become an active topic of research. By an adequate internal architecture of the constituting components, the magneto-optical activity of these systems can be greatly increased due to the electromagnetic field enhancement associated with the plasmon resonance. Simultaneously, the magnetic functionality permits the control of the plasmonic properties by an external magnetic field, which allows the development of active plasmonic devices. These materials find applications in, for example, gas and biosensing areas, and in integrated photonic devices for telecommunications. In the present work the state of the art and current understanding of the phenomenology associated with magnetoplasmonic structures where magnetism and plasmonics are intertwined are reviewed.
528 citations