1. W P. Pinello, Electromagnetic Modeling of Noise Interactions in Packaged Electronics Using the Partial Element Equivalent Circuit Formulation, Doctoral thesis, University of Arizona, 1997.
2. A. E. Ruehli, “Equivalent Circuit Models for Three-Dimensional Multiconductor Systems, IEEE Trans. MTT, pp. 216-221, March 1974.
3. A. E. Ruehli and H. Heeb, “Circuit Models for Three-Dimensional Geometries Including Dielectrics,” IEEE Trans. MTT, pp. 1507-1516, July 1992.
4. A. E. Ruehli and A. C. Cangellaris, “An Overview of the Partial Element Equivalent Circuit (PEEC) Electromagnetic Modeling Approach,” Applied Computational Electromagnetics Society Newsletter, vol. 14, no. 1, pp. 17-27, March 1999.

1. CLAWPACK, software package, www.amath.washington.edu/~claw.
2. Finite Volume Methods for Conservation Laws and Hyperbolic Systems, Randall J. LeVeque, draft copy of book.
3. Wave propagation algorithms for multi-dimensional hyperbolic systems, Randall J. LeVeque, J. Comput. Phys. 131 (1997), pp. 327-353.
4. High-Resolution Finite Volume Methods for Acoustics in Periodic and Random Media, Tiernan R. Fogarty and Randall J. LeVeque, Journal of the Acoustical Society of America, vol. 106, no. 1, July 1999, pp. 1-12.

1. T. S. Rappaport, Wireless communications, principles and practices, Prentice-Hall, 1996.
2. L. E. Larson, RE and microwave circuit design for wireless communications, Artech House, 1997.
3. www.telecommresearch.com

Abstract: This paper presents the application of the newly developed Jacobi-Davidson (JD) algorithm to solve quadratic eigenmatrix equations The quadratic engenmatrix equations result from using the vector finite element methods to model open domain electromagnetic cavities. The derivation for the JD algorithm presented here, using Newton's method for solving nonlinear equation. Consequently, it is intuitive to see the quadratic convergence rate for the basic algorithm when a good initial guess is provided. The complete JD procedure is then derived by combining the basic algorithm withe Davison's subspace method. Numetrical examples show superquadratic or cubic convergence even when the correction equation are solved with only 10^{-1} accuracy. Moveover, in this paper, the JD algorithm is used to construct an equivalent circuit model for a slot-patch RF/Microwave detection circuits. The simulations obtained from the equivalent circuit model agree, in general, very well with the measurements for both the downlink and uplink performance.

Abstract: The demand for wireless mobile communications services is growing at an explosive rate, with the anticipation that communication to a mobile device anywhere on the globe at all times will be available in the near future. An array of antennas mounted on vehicles, ships, aircraft, satellites, and base stations is expected to play an important role in fulfilling the increased demand of channel requirement for these services, as well as for the realization of the dream that a portable communications device the size of a wristwatch be available at an affordable cost for such devices. The paper is the first of a two-part study. It provides a comprehensive treatment, at a level appropriate to non-specialists, of the use of an antenna array to enhance the efficiency of mobile communication systems, including land-mobile, indoor-radio, and satellite-based systems. It discusses advantages of an array of antennas in a mobile communication system, highlights improvements that are possible by using multiple antennas compared to a single antenna in a system, and provides details on the feasibility of antenna arrays for mobile communications applications.

Abstract: In this paper, a formalism based on the MOM to solve the volume integral equation using tetrahedral (3-D) and triangular (2-D) elements is presented. A regularization scheme to handle the strong singularity of the Green's tensor is introduced. This regularization scheme is extended to neighboringelements, which dramatically improves the accuracy and the convergence of the technique. Scattering by high-permittivity scatters, like semiconductors, can be accurately computed.

Abstract: For high wave numbers, the Helmholtz equation suffers the so-called 'pollution effect. This effect is directly related to dispersion. A method to measure the dispersion on any numerical method related to the classical Galerkin FEM is presented. This method doesn't require to compute the numerical solution of the problem and is extremely fast. Numerical results on the classical Galekin FEM(p-method) is compared to modifiled methods presented in the literature. A study of the inflence of the topology triangles is also carried out. The efficiency of the dimension methods is compared. The numerical results in two of the mesh and for square elements show that the high order elements controls the dispersion well.

Abstract: This paper is concerned with the application of boundary integral equation method to the electromagnetic scattering of a perfect conductor in the three dimensional space. A collocation method is employed for the magnetic field integral equation and error estimates are derived. Far field patterns and radar cross sections are computed for various wave numbers in the case of sphere. Numerical experiments are compared to those obtained from the Mie series method in order to verify the predicted theoretical results. The goal of this paper is to provide a rigorous proof of the convergence in terms of mesh sizes for the magnetic field integral equations (MFIE) applied to the EM scattering of a perfect conductor in the 3D space.

Abstract: Automatic model reduction of chip, package, and board interconnect is now typically accomplished using moment- matching techniques, where the matching procedure is computed in a stable way using orthogonalized or biorthogonalized Krylov-subspace methods. Such methods are quite robust and reasonably efficient, though they can produce reduced-order models that are far from optimally accurate. In particular, when moment-matching methods are applied to generating a reduced order model for interconnect which exhibits skin effects, the generated models have many more states than necessary. In this paper, we describe our two-step strategy in which we first compute medium-order models using an efficient moment-matching method, and then nearly optimally reduce the medium-order models using truncated balanced realization. Results on a spiral inductor and a package example demonstrate the effectiveness of the two-step approach.

Abstract: The problem of electromagnetic wave scattering by heterogeneous dielectric bodies is formulated in a recursive manner by organizing their homogeneous subregions into hierarchical multiply-nested structures. The inner details of each multiply-nested body are completely accounted for by an equivalent surface representation that yields the electric and magnetic fields tangent to the body only in terms of a single unknown electric surface current density distributed on its outer surface. In this manner, the problem of wave scattering by heterogeneous dielectric bodies is reduced to a scattering problem over their outermost surfaces in terms of only a single unknown current density. For a large number of different homogeneous dielec-tric subregions within such a heterogeneous body, the proposed method has a computational complexity of (15) and storage requirements that increase in proportion to ( ). Furthermore, the equivalent surface representation derived for a particular subregion is invariant under rotation and translation and may, therefore, be applied to identical subregions without repeating the computation. The fields at any interior points are calculated by a fast backward recursion. Index Terms—Heterogeneous dielectrics, integral equations, recursive methods, wave scattering.

Abstract: The errors incurred in using extrapolation and interpolation in large scale computations are analyzed and quantified in the wavenumber space. If a large extrapolation stencil is used, the errors in the low wavenumbers can be significantly reduced. However, the errors in the high wavenumbers are, at the same time, greatly increased. The opposite is true if the stencil size is reduced. Based on the wavenumber analysis, an optimized extrapolation and interpolation method is proposed. The optimization is carried out over a selected band of wavenumbers. It is known that extrapolation often leads to numerical instability. The instability is the result of large error amplification in the high wavenumber range. To reduce the tendency to trigger numerical instability, it is proposed that an extra constraint be imposed on the optimized extrapolation method. The added constraint aims to reduce error amplification over the high wavenumbers. Numerical examples are provided to illustrate that accurate and stable numerical results can be obtained in large scale simulation using a high-order finite difference scheme and the proposed optimized extrapolation method. When the same problems are recomputed using the familiar high-order polynomials extrapolation method in the Lagrange form, in one case the numerical results are plagued by large errors and ultimately instability. In another problem, it is found that the use of the Lagrange polynomials extrapolation method would lead immediately to numerical instability.