Seminars
Literature Review
450D EL
Index
Spring, 2000
| Date | Speaker | Topic |
| Jan. 24 | Karl Warnick | “Asymptotic and a posteriori error estimates for boundary element solution of hypersingular integral equations” by M. Feistauer, G. Hsiao, and R. Kleinman, SIAM J. vol. 33, no. 2, pp. 666-685, April 1996 |
| Jan. 26 | Jian Liu | “Multilevel solution of the time-harmonic Maxwell's equations based on edge element” by Rudolf Beck and Ralf Hiptmair, Int. J. Numer. Meth. Engr. 45, 92-920 (1999) |
| Jan. 31 | Siyuan Chen | "An efficient method for band structure calculation in 2D photonic crystals” by David Dobson, Journal of Computational Physics, 149, 363-376 (1999) |
| Feb. 2 | Investiture | **** |
| Feb. 7 | G. Hwang | "Electromagnetic Wave Effects on Microwave Transistors Using a Full-Wave Time-Domain Model," by M. A. Alsunaidi, S. M. S. Imtiaz, S. M. El-Ghazaly, IEEE Trans. MTT, vol.44, no. 6, pp. 799-808, June 1996. |
| Feb. 9 | Yu Zhu | "An Investigation of New FETD/ABC Methods of Computation of Scattering from Three-Dimensional Material Objects," by K. S. Komisarek, N. N. Wang, A. K. Dominek, and R. Hann, IEEE Trans. Antenna and Propagation, vol. 27, no. 10, pp. 1579-1585, October 1999. |
| Feb. 14 | Bhuwan Singh | "The Regular Fourier Matrices and Nonuniform Fast Fourier Transforms," Nhu Nguyen and Qing Huo Liu, SIAM J. Sci. Comput. vol.21, no.1. pp.283-293, 1999. |
| Feb. 16 | Xiangtao Yin | "Validity of the Measured Equation of Invariance," by Yun-Sheng Xu and Hong-Ming Chen, IEEE Trans. on Antennas and Propagation, vol. 47, no. 12, 1999. |
| Feb. 21 | Hsueh Yung “Robert” Chao | "Mutiresolution analysis of printed antennas and circuits: a dual- isoscalar approach," by P. Pirinoli, G. Vecchi, and L. Matekovits from Politechnico di Torino, Italy, Jan. 12, 2000. |
| Feb. 23 | Yu Zhang | “A Fast Spherical Filter with Uniform Resolution,” by Rudiger Jakob- Chien and Bradley K. Alpert, Journal of Computational Physics, 136, pp. 580-584, 1997. |
| Feb. 28 | Dan Jiao | "A Fully Explicit Whitney Element - Time Domain Scheme with Higher Order Vector Finite Elements for Three-Dimensional High Frequency Problems,” by T. V. Yioultsis, N. V. Kantartzis, C. S. Antonopoulos and T. D. Tsiboukis, IEEE Trans. on Magnetics,, vol. 34, no. 5, pp. 3288-3291, 1998.and"A Generalized Nondiagonally Anisotropic Perfectly Matched Layer for Wide-angle Absorption in Finite Element Electromagnetic Scattering analysis,” by T. V. Yioultsis, T. D. Tsiboukis and E. E. Kriezis, IEEE Trans. on Magnetics, vol. 34, no. 5, pp. 2732-35,Sept., 1998. |
| Mar. 1 | Marc Kowalski | “An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems,'' by F.Q. Hu, M. Y. Hussaini, and P. Rasetarinera, J. Comp. Phys., vol.151, no.2, pp.921-46, May 1999 |
| Mar. 6 | Linsen Bai | “Complex-Distance Potential Theory and Hyperbolic Equations,” by Gerald Kaiser |
| Mar. 8 | Arif Ergin | "Non-Dispersive Closed Form Approximations for Transient Propagation and Scattering of Ray Fields," by E. Heyman and L. B. Felsen, Wave Motion, vol.7, no.4, July 1985, pp.335-358. |
| Mar. 13 | Nan-wei Chen | "A Space-Time Discretization Criterion for a Stable Time-Marching Solution of the Electric Field Integral Equation," G. Manara, A. Monorchio and R. Reggiannini, IEEE Trans. Antennas. Propagat. vol.45, no.3, pp.527-532, March, 1997. |
| Mar. 15 | * | NONE |
| Mar. 20 | J. Nickel | "Localized function method for modeling defect modes in 2-D photonic crystals", D. Mogilevstev, T. A. Birks, and P. St. J. Russell, Journal of Lightwave Technology, vol. 17, no. 11, November 1999. |
| Mar. 22 | F. Liu | "A new algorithm for the incorporation of arbitrary linear lumped networks into FDTD simulators," by J. A. Pereda, F. Alimenti, P. Mezzanotte, L. Roselli and R. Sorrentino, IEEE Trans. on MTT, vol.47, no. 6, pp 943-949, June, 1999. |
| Mar. 27 | Kemal Aygun | Cancelled |
| Mar. 29 | Alaeddin Aydiner | Paper that has been submitted to IEEE Trans. Image Processing. "Super-resolution Processing of Multi-static Data Using Time-Reversal and MUSIC [Multiple Signal Classification]," by A. J. Devaney, |
| Apr. 3 | Bin Hu | "The Fast Gauss Transform", by Leslie Greengard and John Strain. This was a preprint. |
| Apr. 5 | Noel Gres | "Implementation of Transparent Sources in FDTD Simulations" by John B. Schneider, Christopher L. Wagner, and Omar M. Ramahi., IEEE Trans. On Antennas & Propagation, vol. 46, no. 8, pp. 1159-1168, August 1998. |
| 5/3 | * | OPEN |
| Apr. 10 | Eric Forgy | “Refraction and Geometry in Maxwell's Equations,” by A. J. Ward and J. B. Pendry, Journal of Modern Optics, 1996, vol. 43, no. 4, 773-793. |
| Apr. 12 | Eric Branch | “Compensation for the Effects of Mutual Coupling on Direct Data Domain Adaptive Algorithms,” by Raviraj S. Adve and Tapan Kumar Sarkar, IEEE Transactions on Antennas and Propagation, Vol. 48, No. 1, Jan. 2000. |
| Apr. 17 | A. Yilmaz | "Review of FDTD time-stepping schemes for efficient simulation of electric conductive media," by C. Schuster, A. Christ and W. Fichtner, published in Microwave and Optical Technology Letters, vol. 25, no. 1, April 5, 2000. |
| Apr. 19 | Lijun Jiang | "Efficient SPICE-Compatible Electromagnetic Model of Arbitrarily Shaped Integrated Passive Structure", by Robert F. Milsom, IEEE Transactions on Microwave Theory and Techniques, vol. 47, no. 7, July 1999. |
| Apr. 24 | Karen Coperich | "Passive Multipoint Moment Matching Model Order Reduction Algorithm on Multiport Distributed Interconnect Networks" by Q. Yu, J. Wang, and E. Kuh, IEEE Trans. on Circuits and Systems I: Fundamental Theory and Applications, vol. 46, no. 1, January 1999. |
| Apr. 26 | Mingyu Lu | "Finite-Difference Approach to the Solution of Time-Domain Integral Equations for Layered Structures", by N. Georgieva and E. Yamashita, IEEE Trans. on AP, vol. 45, no. 6, June 1997, pp. 984-990 |
| May 1 | Chris Pan | Cancelled |
| May 3 | Donepudi | Cancelled |
450D EL
Index
FALL, 2000
Prof. W. Chew will preside over the Monday Lit Rev Sem. while Prof. Eric Michielssen will preside over the Wednesday ones.
Note to secretary: get a hard copy of the papers from the students, e-mail them to remind them, Enter the name of paper in the Topic column. File the hard copies in room 450A file cabinet (key in my desk).
| Date | Speaker | Topic |
| Sept. 4 | LABOR DAY | NONE |
| Sept. 6 | Eric Forgy | Present excerpts from a series of papers:Bossavit, Alain "Computational electro-magnetism and geometry: Building a finite-dimensional 'Maxwell's house'" J. Japan Soc. Appl. Electromagn. & Mech., *- (1): Network equations vol 7 (1999), pp. 150-9 (no 1) *- (2): Network constitutive laws vol 7 (1999), pp. 294-301 (no 2) - (3): Convergence vol 7 (1999), pp. 401-8 (no 3) - (4): From degrees of freedom to fields vol 8 (2000), pp. 102-9 (no 4) *- (5): The "Galerkin hodge" (yet to appear)with emphasis on the papers marked with the *. The basic idea of this series may be hinted at by the title of the closely related conference paper:Bossavit, A., Kettunen, L.: "Yee-like schemes on staggered cellular grids: A synthesis between FIT and FEM approaches" COMPUMAG 1999 |
| Sept. 11 | Hsueh Yung Chao | "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part I: Theory", by K. A. Michalski and D. Zheng, IEEE Transaction on Antennas and Propagation, vol. 38, no. 3, pp. 335-344, Mar. 1990. |
| Sept. 13 | Noel Gres | “On the eigenvalues of the volume integral operator of electromagnetic scattering” by Jussi Rahola. SIAM Journal on Scientific Computing, vol. 21, no. 5, pp. 1740-1754, April 28, 2000. |
| Sept. 18 | Gabriel Hwang | 1) “A non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell’s Equations,” by A. Yefet and P. G. Petropoulos.2) “Stable Cartesian grid methods for Maxwell’s Equations in Complex Geometries,” by A. ditkowski, K. Dridi and J. S. Hesthaven, Both papers were submitted to Journal of Computational Physics. |
| Sept. 20 | Sanjay Velamparambil | "Cost effective solution of the boundary integral equations for 3D Maxwell problems" , A. N. Bespalov," Russ. J. Numer. Anal. Math. Modelling, vol 14, no. 5, pp403-428, 1999 |
| Sept. 25 | Chris Pan | "Multi-level fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half space," by N. Geng, A. Sullivan, and L. Carin, submitted to IEEE Transactions on Geoscience and Remote Sensing. |
| Sept. 27 | Korkut Yegin | 1. Alexander I. Nosich, "The method of analytical regularization in wave-scattering and eigenvalue problems: foundations and review solutions," IEEE Antennas and Propagation Magazine, vol.41, no.3, pp. 34-48, June 1999.2. S. V. Boriskina and A. I. Nosich, "Radiation and absorption losses of the whispering-gallery-mode dielec-tric resonator excited by a dielec-tric waveguide," IEEE Transactions on Microwave Theory and Techniques, vol. 47, no. 2, pp. 224-231, Feb. 1999. |
| Oct. 2 | Dan Jiao | S. Gutschling, H. Kruger and T. Weiland, “Time-domain simulation of dispersive media with the finite integration technique” |
| Oct. 4 | Alaeddin Aydiner | Andreas Kirsch and Stefan Ritter, "A Linear Sampling Method for Inverse Scattering from an Open Arc". Abstract. In this paper, we develop a linear sampling method for the inverse scattering of time-harmonic plane waves by open arcs. We derive a characterization of the scatterer in terms of the spectral data of the scattering matrix analogously to the case of the scattering by bounded domains. Numerical examples show that this theoretical result also leads to a very fast visualization technique for the unknown arc. |
| Oct. 9 | Bin Hu | "Fast Calculations of Dyadic Green's Functions for Electromagnetic Scattering in a Multilayered Medium"by Wei Cai and Tiejun Yu. Abstract: In this paper, we will introduce a novel acceleration method for the calculations of dyadic Green's functions for the mixed potential integral equation formulation of electromagnetic scattering of scatters embedded in a multilayered medium. Numerical results are provided to demonstrate the efficiency and accuracy of the proposed method. This paper is submitted to Journal of Computational Physics. |
| Oct. 11 | Eric Branch | A Finite Element-Based Technique for microwave Imaging of Two-Dimensional Objects by Ioannis T. Rekanos and Theodoros D. Tsiboukis - IEEE Transactions on Instrumentation and Measurement Vol. 49, No. 2, April 2000 - Abstract: In this paper, a microwave imaging technique for estimating the spatial distributions of the permittivity and the conductivity of a scatterer, by post-processing electromagnetic scattered field data, is presented. For the description of the direct scattering problem, the differenetial formulation is applied. This allows the use of the finite element method. During the inversion, the computation of the derivative of the finite element solution with respect to the parameters, which describe the scatterer, is required. This task is performed by a finite element-based sensitivity analysis scheme, which is enhanced by applying the adjoint state vector methodology. The merits of the proposed technique are examined by applying it to both transverse magnetic and transverse electric polarization cases. Finally, the technique is adopted by a frequency-hopping approach to cope with multifrequency inverse scattering problems. Since the formulation in this paper is fairly cryptic, I will be combining the formulations given by the same authors in a couple of other papers. Hopefully, this will add clarity to my presentation. |
| Oct. 16 | Yu Xhang | An Integral Evolution Formula for the Wave Equation - Bradley Alpert, Leslie Greegard, and Thomas Hagstrom - Abstract, - We present a new time-symmetric evolution formula for the scaler wave equation. It is simply related to the classical D'Alembert or spherical means representations, but applies equally well in two space dimension. It can be used to develop stable, robust numerical schemes on irregular meshes. This paper is contribution of U.S. government that is not subject to copyright, which reads to me that it was not published. I can give a copy to anyone who might be interested. |
| Oct. 18 | Jian LiuJian sent me the following on email: I am reviewing some materials excepted from two books, It is just a summary and not exact something in the So there is no hard copy. Sorry about jianProfessor chew, I will write a summary report on it. regards, jian liu |
I will review some iterative solvers today. They include Orthmin(1),
Steepest descent, GMRES, MINRES, and CG. I will also discuss the error analysis,
and break down conditions for these algorithms. The convergene analysis can give
us some insight on how to construct "good" preconditioners in solving linear
equations. The materials is excepted from |
| Oct. 23 | Naw Wei Chen | "Efficient Electromagnetic Analysis of a Doubly Infinite Array of Rectangular Apertures" by Andrew W. Mathis and Andrew F. Peterson IEEE Transcations on Microwave Theory and Techniques Vol.46, No.1,1998 Abstract An accurate and rapid method is presented for solving the magnetic field integral equation for the equivalent magnetic currents representing a doubly periodic array of rectangular apertures. Ewald's method is used to accelerate the summations associated with periodic Green's function allowing the Green's function to be determined to nearly machine precision. Galerkin's method is used to discretize the integral equation with Chebyshev polynomials used as the basis and testing functions. Efficient treatment of the self-term singularity is emphasized. |
| Oct. 25 | Kalyan Donepudi | A THREE DIMENSIONAL HAAR-WAVELET BASED MULTIRESOLUTION ANALYSIS SIMILAR TO THE FDTD METHOD --- DERIVATION AND APPLICATION by M. Fujii, W. J. R. Hoefer IEEE Transcations on Microwave Theory and Techniques Vol.46, No.12, December 1998 Abstract: A three-dimensional (3-D) multiresolution analysis procedure similar to the finite-difference time-domain (FDTD) method is derived using a complete set of three-dimensional orthonormal bases of Haar scaling and wavelet functions. The expansion of the electric and the magnetic fields in these basis functions leads to the time iterative difference approximation of Maxwell's equations that is similar to the FDTD method. This technique effectively models realistic microwave passive components by virtue of it multiresolution property; the computational time is reduced approximately by half compared to the FDTD method. The proposed technique is validated by analyzing several 3-D rectangular resonators with inhomogeneous dielectric loading. It is also applied to the analysis of microwave passive devices with open boundaries such as microstrip low-pass filters and spiral inductors to extract their S-parameters and field distributions. The result of the proposed technique agree well with those of the traditional method. |
| Oct. 30 | Yu Zhu | I will review the following paper, Hybrid finite element modelling of conformal antenna and array structures utilizing fast integral methods By T. F. Eibert, K. Sertel and J. L. Volakis Published in International Journal of Numerical Modeling (2000; 13:81-101) Abstract: Hybrid finite element methods which combine the finite element and boundary integral methods have been found very successfuly for the analysis of conformal finite and periodic arrays embedded on planar or curved platforms. A key advantage of these hybrid methods is their capability to model inhomogeneous and layered material without a need to introduce complicated Green's functions. Also they offer full geometrical adaptability and are thus of interest in general-purpose analysis and design. For the proposed hybrid FEM, the boundary integral is only used on the aperture to enforce the radiation condition by employing the standard free space Green's function The boundary integral truncation of the FEM volume domain, although necessary for rigor, is also the cause of substantial increase in CPU complexity. In this paper, we concentrate on fast integral methods for speeding-up the computation of these boundary integrals during the execution of the iterative solver. We consider both the adaptive integral method (AIM) and the fast multipole method(FMM) to reduce the complexity of boundary integral computation down to O(N^a) with a < 1.5. CPU and memory estimates are given when the AIM and FMM accelerations are employed as compared to the standard O(N^2) algorithms. In addition, several examples are include to demonstrate the practicality and applications of these fast hybrid methods to planar finite and infinite arrays, frequency selective surfaces, and arrays on curved platforms. |
| Nov. 1 | Mingyu Lu | Author R. Dai and C. T. Young Title Transient fields of a horizontal electric dipole on a multilayered dielectric medium Source IEEE Transactions on Antennas & Propagation, vol.45, no.6, June 1997, pp.1023-1031 Abstract The transient electric fields of a horizontal electric dipole excited by a short pulse current and located on a layered dielectric medium were analyzed using the Cagniard-de-Hoop method. The fields are expressed as the convolution of the exciting current with the layered medium response. The layered medium response is obtained directly from the integral representation for the electric fields in the frequency domain and is expressed as a finite integral. In contrast to the conventional frequency synthesis approach, the Cagniard-de-Hoop (1960) method proves to be computationally more efficient and numerically more stable. Compared with the asymptotic approach, the solution involves no approximation. The nature of the various waves, reflected waves (guided wave and leaky wave), and lateral waves can be easily recognized on the Cagniard integral path. Numerical results are obtained to provide a rigorous forward modeling for the geo-radar operating on layered media. |
| Nov. 6 | Kemal Aygun | "Coupling of inhomogeneous fields into cables over discretized metallic ground planes of finite extent," by H-D. Bruns, H. Singer, and F. Schlagenhaufer, which appeared in the Proceedings of the 1996 IEEE International Symposium on Electromagnetic Compatibility, pp 300-304. The abstract is as follows: The numerical computation of field-excited currents on lines (cables) and the corresponding voltages at the terminating impedances is an important task in the area of EMC. If such lines are situated close to transmitting antennas or near metallic structures the inhomogeneity of the exciting field has to be considered carefully. Computing the coupling-in process, it is generally not possible to simply assume plane wave conditions. From well-known reasons cables should be fixed very close to metallic walls and structure parts respectively in order to keep their effective height as small as possible. In numerical models this leads to the requirement that surface areas underneath each line must be subdivided into very small patches, at least perpendicular to the line direction. From computational, physical, and CAD reasons it appears not to be practicable to include lines into the overall mutual electromagnetic interaction process in a numerical model, for example setting up the system matrix in a Method of Moment (MoM) simulation. It will be shown that physically reliable results can be achieved if the output of a MoM field computation is combined with the transmission line (TL) method in a suitable manner. As time permits, I will also go over a second paper: "Computation of interference in cables close to metal surfaces" by H-D. Bruns, H. Singer, in the Proceedings of the 1998 IEEE International Symposium on Electromagnetic Compatibility, pp 981-986, which extends the work in the first paper. |
| Nov. 8 | Vladimir Okhmatovsky | "Efficient Method of Moments Formulation for the Modeling of Planar Conductive Layers in a Shielded Guided-Wave Structure," by A. Khalil, A. Yakovlev, and M. Steer, which appeared in IEEE MTT transactions vol. 47, no. 9, Sept. 1999, pp. 1730-1736 and "A novel Spatial Images Technique for the Analysis of Cavity Backed Antennas," by A. Melcon and J. Mosig, which appeared in ACES Jornal, vol. 14, no. 3, Nov. 1999, pp. 91-99. Papers describe new contributions to the analysis of arbitrary shielded circuits and antennas in the frame of the integral equation formulation and method of moments. Authors approach the problem how to accelerate slowly convergent double series of the rectangular waveguide Green's function in two different ways. In both papers they come up with simple mathematical tricks to achive dramatical reduction of the computational cost. |
| Nov. 13 | Shinichiro Ohnuki | 1. Akira Tonomura, "The Quantum World Unveiled by Electron Waves," World Scientific Publishing Co.Pte.Ltd., 1998. 2. Akira Tonomura, "Electron Holography," Springer-Verlag Berlin Heidelberg, 1993. Dr. Tonomura has contributed to electron holography research by developing coherent field-emission electron beams. He has carried out experiments on the observation of magnetic lines of force and the confirmation of the Aharonov-Bohm effect, as well as the dynamic observation of vortices in superconductors using electron waves. I would like to present his novel experiments in this |
| Nov. 15 | Josh Nickle | "How to efficiently capture on-chip inductance effects: introducing a new circuit element K", A. Devgan, H. Ji, and W. Dai, in Proceedings of the IEEE/ACM International Conference on Computer Aided Design, Nov. 2000. Abstract: On-chip inductance extraction and analysis is becoming increasingly critical. Inductance extraction can be difficult, cumbersome and impractical on large designs as inductance depends on the current return path - which is typically unknown prior to extracting and simulating the circuit model. In this paper, we propose a new circuit element, K, to model inductance effects, at the same time being easier to extract and analyze. K is defined as inverse of partial inductance matrix L, and has locality and sparsity normally associated with a capacitance matrix. We propose to capture inductance effects by directly extracting and simulating K, instead of partial inductance, leading to much more efficient procedure which is amenable to full chip extraction. This proposed approach has been verified through several simulation results. Relevant material from the authors' more detailed paper will also be presented: "KSim: a stable and efficient RKC simulator for capturing on-chip inductance effect," A. Devgan, H. Ji, and W. Dai, to appear at ASP-DAC 2001. |
| Nov. 20 | M. Kowalski Jacek Nadobny, Dennis Sullivan, et al, | ``A high-resolution interpolation at arbitrary interfaces for the FDTD method, '' IEEE Trans. Microwave Theory. Tech., vol. 46, no. 11, pp. 1759--1766, November 1998. ABSTRACT: In recent years, the finite-difference time-domain (FDTD) method has found numerous applications in the field of computational electromagnetics. One of the strengths of the method is the fact that no elaborate grid generation specifying the content of the problem is necessary-the medium is specified by assigning parameters to the regularly spaced cubes. However, this can be a weakness, especially when the interfaces between neighboring media are curved or "sloped" and do not exactly fit the cubic lattice. Since the E- and H-fields are only calculated at the regular intervals, sharp field discontinuities at the interfaces are often missed. Furthermore, the averaging of the material properties often leads to significant errors. In this paper, a post-processing method is presented, which approximates the correct field behavior at the interfaces by interpolating between the FDTD calculated values, splitting them into the components normal and tangential to the interfaces, and then enforcing the interface conditions for each of these components separtely. |
| Nov. 22 | Yongxue Yu | "Efficient Calculation of Lattice Sums for Free-Space Periodic Green's Function" by Kiyotoshi Yasumoto and Kuniaki Yoshitomi, IEEE Trans. Antennas and Propagation vol. 47, no. 6, pp. 1050--1755, June 1999. ABSTRACT: An efficient method to calculate the lattice sums is presented for a one dimensional periodic array of line sources. The method is based on the recurrence relations for Hankel functions and the Fourier integral representation of the zero-order Hankel function. The lattice sums of arbitrary high order are then expressed by an integral of elementary functions, which is easily computed using a simple scheme of numerical integration. The calculated lattice sums are used to evaluate the free-space periodic Green's function. The numerical results show that the proposed method provides a highly accurate evaluation of the Green's function with far less computation time, even when the observation point is located near the plane of the |
| Nov. 27 | Ali Yilmaz | "Electromagnetic Complex Source Pulsed Beams" by E. Heyman, B.Z. Steinberg and R. Iancunescu published in IEEE Transactions on Antennas and Propagation July 1990. Abstract: Complex source pulsed beams (CSPB) are exact solutions of the wave equation that can be modeled by a time-dependent source located at a complex coordinate point. With a proper choice of parameters, these wavefields are confined in beam-like fashion in transverse planes perpendicular to the propagation axis while confinement along the axis is due to temporal windowing. Because they have these properties, CSPB are useful wave objects for generating and synthesizing highly focused transient fields and for local probing of a medium. Furthermore, as has been shown recently, CSPBs form a new set of basis functions for an exact angular spectrum expansion of source-excited, time-dependent fields. Scalar PB fields have been explored recently from several view points. In this paper, vector electromagnetic PB fields are constructed by using current dipoles which are located at complex coordinate points. As in the scalar case, the direction, collimation and directivity of the field are determined essentially by the imaginary displacement of the source coordinate. The vector fields depend also on the polarization of the dipole with respect to the beam axis. As expected, the strongest radiation is achieved when the dipole is directed transverse to the beam axis.. |
| Nov. 29 | Lijun Jiang | 1. Random walk method "A stochastic algorithm for high speed capacitance extraction in integrated circuits", by Y.L.Le Coz, and R.B. Iverson, Solid-State Electronics, Vol.35, No.7, 1992 2. Nebula "Large-Scale Capacitance Calculation", by Sharad Kapur and David E. Long, DAC 2000 They are different methods. Both of they are successfully applied as the kernels of two commercial softwares for package analysis. The followings are the abstracts: "A stochastic algorithm for high speed capacitance extraction in integrated circuits", by Y.L.Le Coz, and R.B. Iverson, Solid-State Electronics, Vol.35, No.7, 1992 Abstract: We present the theory of a novel stochastic algorithm for high-speed capacitance extraction in complex integrated circuits. The algorithm is most closely related to a statistical procedure for solving Laplace's equation known as floating random walk method. Overall computational efficiency stems from various factors: suitability to rectilinear geometries, statistical-error cancellation, selective integration over Gaussian surfaces and direct capacitance-matrix evaluation. Our analysis begins with Laplace's equation for a scalable square domain subject, subject to arbitrary Dirichlet conditions. A boundary-integral solution s then found, from which are obtained integrals for electric potential and electric field at the domain center. An electrode-capacitance integral is next derived. This integral is expanded as an infinite sum, and probability rules that statistically evaluate the sum are deduced. These rules define the algorithm. Three sources of numerical error , space-discretization error and statistical error. All these errors c an be adequately controlled through proper adjustment of algorithm parameters. "Large-Scale Capacitance Calculation", by Sharad Kapur and David E. Long, DAC 2000 Abstract: We describe a new method for accurate large-scale capacitance calculations. The algorithm uses an integral equation formulation, but with a new representation for charge distributions that decouples charge variation from conductor geometry. This separation significantly reduces the problem size compared to a traditional discretization, resulting in a large speed increase. The full capacitance matrix of typical interconnect problems with thousands of nets can be computed in a few hours. |
| Dec. 4 | Karen Coperich | “Limit to the Bit-Rate Capacity of Electrical Interconnects from the Aspect Ratio of the System Architecture,” by D. A. B. Miller and H. M. Ozaktas. Abstract: "We show that there is a limit to the total number of bits per second, B, of information that can flow in a simple digital electrical interconnection that is set only by the ratio of the length l of the interconnection to the total cross-sectional dimension sqrt(A) of the interconeect wiring-the "aspect ratio" of the interconnection. This limit is largely independent of the details of the design of the electrical lines. The limit is approximately B~B_o*(A/l^2) bits/s, with B_o~10^15 (bits/s) for high-performance strip lines and cables, 10^16 for small on-chip lines, and ~10^17-10^18 for equalized lines. Because the limit is scale-invariant, neither growing or shrinking the size of the system substantially changes the limit. Exceeding this limit requires techniques such as repeatering, coding, and multilevel modulation. Such a limit will become a problem as machines approach Tb/s information bandwidths. The limit will particularly affect architectures in which one processor must talk reasonably directly with many others. We argue that optical interconnects can solve this problem since they avoid the resistive loss physics that gives this limit." In other words, the paper focuses on deriving/quantifying a Bit-Rate Capacity from the physical parameters{ R,L, C per-unit-length} of interconnect architectures. |
| Dec. 6 | Eric Dunn | Title: The Motion of Planets Around the Sun. Abstract: As early as high school most of us learned about Kepler's laws of planetary motion that orbits around the sun follow an elliptical path rather than a circular one. Some of us may have even seen the mathematical proof of this law which is based on taking Newton's famous force equations in conjunction with the conservation of angular momentum. Rather than relying upon differential equations, another less well known proof exists that uses simple pure geometry. Newton was the first person to prove Kepler's laws using geometrical arguments. However his argument is difficult to follow. When asked to give a guest lecture at Cal Tech in March of 1964, Richard Feynman, one of the most famous scientists since Einstein, cooked up his own simple and elegant geometrical proof. Until recently, Feynman's lecture was lost in the archives of Cal Tech. Luckily David L. Goodstein pieced together Feynman's notes of this lecture and has published it as a book/audio set. Come join me for an exciting hour where we will travel back to the days of Copernicus in 1543 and enter the brillant mind of Feynman to see one of the most elegant proofs of all time. To the best of my ability, I will recreate this unorthodox approach to Newton's demonstration of the law of ellipses. What does it have to do with CEM? Abolutely nothing ... and everything! |
If the schedule is not good for you, please contact me about it.
Except for when there is a conflict, the meetings will be at 4:00 pm
every Monday and Wednesday of the week in Room 450D EL in the Electromagnetics Laboratory.
Please discuss with your advisor as to what paper is appropriate for the Lit Review.
If you name is not listed, but would like to give a seminar, please let me know.
I will see if I can move some people around to accommodate you.
Regards,
Weng Chew