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R. F. Harrington, Field computation by moment methods, Krieger Publishing Co., Malabar, FL, 1982. 24

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Calculation Of Longitudinal Fields Of High-Current - Beams Within Conducting   (Correct)

....half length correspondingly) If the charge density is given, then equation (1) determines the corresponding potential u. Conversely, if the potential u is known, then the corresponding # may be found from an integral equation (1) The formalism known as the moment method described below is from [5]. A similar technique called the charge density method [6] is commonly used in electron and ion optics. 0 7803 5573 3 99 10.00 1999 IEEE. 2781 3 SLICE FORMALISM The original charge density method is too slow to be used repeatedly during step by step PIC simulation. We have developed a ....

R.E.Harrington, "Field Computation by Moment Methods", Macmillan, New York (1968).


A Multilevel Algorithm For Solving - Boundary Integral Equation   (Correct)

....the reduced computational complexity. We call this the multilevel fast multipole algorithm (MLFMA) 2. Description of the Algorithm A boundary integral equation for E z incident wave is GammaOE inc (r) Gamma Z C dl g (r; r ) J (r ) r 2 C: 1) It can be discretized so that [9] GammaOE inc (r j ) Gamma 4l g (r j ; r i ) J (r i ) g ji b i ; j = 1; 2; Delta Delta Delta ; N (2) where in the two dimensional case, g ji = ae H 0 (k jr j Gamma r i j) i 6= j; 1 2i ln(0:163805k Deltal) i = j; and b i is proportional to the unknown current. The ....

R. F. Harrington, Field Computation by Moment Methods, reprint ed., Krieger Pub. Co., Malabar, FL, 1983.


Wavelets for Efficient Algorithms in Electronic Design Automation - Soveiko (2003)   (Correct)

....x lim = LuL lim lim = lim v , yv l , m lim yv l , k l k Bases and can be the same or they can be different. Depending on and , 2. 34) can result in different well known discretization schemes, such as Method of Moments [2], Galerkin method [2] Finite Differences [3] and Finite Elements [4] For example, if and are interpolating polynomials on an interval and order of polynomial is 2 more than the order of polynomial, the discretization scheme becomes Finite Differences. For arbitrary and the method is usually ....

.... lim lim = lim v , yv l , m lim yv l , k l k Bases and can be the same or they can be different. Depending on and , 2. 34) can result in different well known discretization schemes, such as Method of Moments [2] Galerkin method [2], Finite Differences [3] and Finite Elements [4] For example, if and are interpolating polynomials on an interval and order of polynomial is 2 more than the order of polynomial, the discretization scheme becomes Finite Differences. For arbitrary and the method is usually referred to as Method of ....

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R. F. Harrington, Field Computation by Moment Methods, New York: MacMillan, 1968.


Experimental Modeling, Repeatability Investigation.. - Sutono, Cafaro.. (2001)   (Correct)

....[3] and method of line [8] algorithms have been performed. We have developed a new EM TABLE I PERFORMANCE VARIATION SUMMARY OF VARIOUS BOND WIRE INTERCONNECT TEST STRUCTURES model for wire bond and simulated using a commercially available full wave EM simulator by method of moment (MoM) 13] [14]. This model is implemented for two different wire bond lengths; 15 and 25 mils. The approximated geometry of a tight loop wire bond is illustrated in Fig. 6(a) In this figure, and indicate the thickness of the microstrip substrate onto which the wire is bonded and the wire height above the ....

R. F. Harrington, Field Computation by Moment Methods, 1993.


L'Approximation Filaire En Régime Harmonique - Becache (1999)   (Correct)

....mod elisation filaire moyennant des hypoth eses sur le courant, et a partir d approximations guid ees par la physique. A partir de l equation etablie par Pocklington, de nombreux travaux ont et e men es pour proposer des m ethodes de r esolution soit de l equation elle meme, soit de variantes [18, 20, 28]. La premi ere analyse math ematique de l equation de Pocklington est due a D. S. Jones, qui a par ailleurs largement contribu e a l etude des antennes filaires, 22, 21, 23] Depuis, d autres math ematiciens se sont pench es sur les mod eles filaires propos es par les physiciens pour les ....

.... de premi ere esp ece dont le noyau est analytique et l inversion de telles equations est tr es d elicate car elle est par nature mal pos ee, 10] N eanmoins, cette formulation a l avantage de s adapter facilement a des g eom etries d antennes complexes et est a la base de nombreuses m ethodes [28, 20, 8]. Elle s av ere tr es efficace tant que la longueur des segments discr etisant l antenne est au moins de l ordre de 4 ou 5 fois le rayon de l antenne. Les instabilit es apparaissent lorsqu on raffine le maillage pour obtenir une meilleure pr ecision. Signalons que Mazari a pr esent e des ....

R. F. Harrington. Field computation by moment methods. Macmillan, New York, 1968. 26


Two Optimizations to Accelerated Method-of-Moments .. - Kamon, Krauter..   (Correct)

....more reliant on accurate computer simulation tools. Signal integrity problems, like ground plane noise, are particular hard to simulate because so much of the problem geometry must be included to achieve accurate results. Multipole and precorrected FFT accelerated Method of Moments techniques [1, 3, 2, 4, 8] are one of the few techniques that are fast enough to analyze signal integrity problems, so optimizing these techniques seem worthwhile even if the resulting optimizations are somewhat incremental. In this paper we describe two optimizations to accelerated method of moments simulation, the first ....

R. F. Harrington, Field Computation by Moment Methods. New York: MacMillan, 1968.


Fast Solvers for Time-Harmonic Maxwell's Equations in 3D - Aruliah (2001)   (Correct)

....equations (PDEs) lead to very di#erent computational approaches. With computational methods derived from IEs, a three dimensional boundary value problem reduces to a two dimensional problem over the boundary of the domain of interest (e.g. boundary element methods or the method of moments [59, 98]) However, even with a significant reduction in the number of unknowns, the computational cost of generating the full system matrix and di#culties in solving the linear equations often makes this approach more costly than comparable PDE methods [77] It is also di#cult to formulate the ....

....absorb outgoing waves; for a numerical study of implementations of various artificial boundary conditions, see [104] It is not necessary to assign boundary conditions on the artificial boundary with certain formulations. One alternative is to use boundary integrals (e.g. boundary element methods [59]) to connect the problem within the finite computational domain to the unbounded exterior region. The use of infinite elements also allows a computational framework that incorporates the behav30 ior of the fields at infinity into the solution [47] Both of these techniques have some advantages but ....

R.F. Harrington. Field Computation by Moment Methods. MacMillan, 1968.


Formulation of Low-Order Dominant Poles for Y-matrix of.. - Eecs Dept University (2002)   (Correct)

....are constructed, respectively: o g.a g 376 5o o 429 fpg . q r L .is o r k r 512 (9) k o g . 38370 1 k o 4272 f q r L . 5u o r r 5045 (10) s and s are the coefficients to be determined by using the generalized Galerkin s method [9], with the power function set 5 ] bW 140 2 ) j (from Eqn. 6) being test functions. For each , we substitute an appropriate number of test functions from 5 b to 4 K into Eqn. 9, then a set of V b b linear equations are obtained, with ] s o.a s o 2W ....

.... 7 399 F2= 10 3 . 3 , s . s .32 s 2 . s 202 , 7 530 F2= 0 (21) and 42 d . u . 22) 2 . are coefficients to be determined by using fitting functions. Using the generalized Galerkin s method [9], we choose 424 ] bW 280 2 as fitting functions . in the first line of Eqn. 21, then it follows: 0. s . 2 # ( 23) 2 7 s . 2 s . 2 2 # ( 24) which results in . A . 2 b A . Doing the same operations to the second line of Eqn. ....

R. F. Harrington, Field Computation by Moment Methods. Macmillan, NY, 1962.


A Particle Filtering Approach to FM-Band Passive Radar.. - Herman, Moulin (2002)   (2 citations)  (Correct)

....the RCS of a target. Our goal is to highlight the complicated relationship that exists between target state (e.g. position and orientation) and RCS. The method of moments (MoM) is a numeric technique which has found widespread use in the solution of scattering problems involving complex targets [18]. The method of moments applies to general linear operator equations, such as 435 (3) where is a linear operator, is an unknown response, and is a known excitation. The unknown response is expanded as the sum of basis functions 7698 : 1 . To solve for the unknowns ....

R. F. Harrington, Field Computation by Moment Methods. New York, NY: MacMillan, 1968.


A Particle Filtering Approach To Joint Passive Radar Tracking And .. - Herman (2002)   (7 citations)  (Correct)

....the RCS of a target. Our goal is to highlight the complicated relationship that exists between target state (e.g. position and orientation) and RCS. The method of moments (MoM) is a numeric technique that has found widespread use in the solution of scattering problems involving complex targets [23]. The method of moments applies to general linear operator equations, such as (2.3) where is a linear operator, is an unknown response, and is a known excitation. The unknown response is expanded as a sum of basis functions, 8 solve for the unknowns 8 ....

R. F. Harrington, Field Computation by Moment Methods. New York, NY: MacMillan, 1968.


Combined BEM/FEM Substrate Resistance Modeling - Schrik, van der Meijs (2002)   (Correct)

....(see Figure 2b) That is, the current is constant on each panel but discontinuous between panels. Because of the Dirichlet condition, the potentialoverapanelmustalsobeconstant thepanels form an equipotential region. Based on this discretization, the collocation method or the Galerkin method [18] can be used to obtain a system of equations with U as the vector of N panel potentials, X as the vector of (unknown) panel currents and G as the elastance matrix describing the potential at panel i due to a unit current in panel j: U = GX (1) The BEM then continues by defining an incidence ....

R.F. Harrington, Field Computation by Moment Methods. New York: The Macmillan Company, 1968.


Comparative Evaluation and Case Studies of Shared-Memory.. - Data-Parallel Execution..   (Correct)

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R. F. Harrington, Field computation by moment methods, Krieger Publishing Co., Malabar, FL, 1982. 24


Comparative Evaluation and Case Studies of Shared-Memory.. - Data-Parallel Execution..   (Correct)

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R. F. Harrington, Field computation by moment methods, Krieger Publishing Co., Malabar, FL, 1982.


Trilinear Hexahedral Finite Elements with.. - Electromagnetic.. (2001)   (Correct)

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HARRINGTON, R.F.: "Field computation by moment methods", Macmillan, New York, 1968.


Partial Element Equivalent Circuit (PEEC) models for - On-Chip Passives And   (Correct)

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R. Harrington, Field computation by moment methods. New York: Macmillan, 1968.


Application of Haar-Wavelet Based Multiresolution Time-Domain.. - Dogaru, Carin (2001)   (Correct)

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R.F. Harrington, Field Computation by Moment Methods, Malabar, FL, Krieger, 1968


A Class of Robust and Efficient Iterative Methods for Wave.. - Adams (1998)   (1 citation)  (Correct)

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R. F. Harrington. Field Computation by Moment Methods. IEEE Press, Piscataway, NJ, 1993.


some waveguide discontinuity problems, IEEE Trans Microwave.. - Ikuno And Yasuura (2003)   (Correct)

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R.F. Harrington, Field computation by moment methods, Macmillan, New York, 1968.


Methods and Approaches for RF Circuit Simulation.. - Kevenaar, Maten..   (Correct)

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R.F. Harrington, "Field Computation by Moment Methods", IEEE Press Series on EM Waves, 1993.


Linear Time Hierarchical Capacitance Extraction.. - Expansion Saisanthosh .. (2001)   (Correct)

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Roger F. Harrington, Field Computation by Moment Methods, IEEE Press, 1993.


Modelling Of Dielectric Cavity Structures Using.. - Robertson.. (1998)   (3 citations)  (Correct)

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R. F. Harrington, Field Computation by Moment Methods, Krieger Publishing Company, Inc., Malabar, FL, 1982.


Fast Far Field Approximation - For Calculating The   (Correct)

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Harrington, R. F., Field computation by moment method, Krieger, Mar-


An Adaptive B-Spline Method for Low-order Image Recostruction.. - Li (2003)   (Correct)

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R. F. Harrington, Field Computations by Moment Methods, Macmillan, 1968.


The Fast Steepest Descent Path Algorithm for Analyzing.. - Michielssen, Chew   (1 citation)  (Correct)

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R. F. Harrington, Field Computation by Moment Methods, 1968, Robert E. Krieger Publishing Company, Inc., p. 229.


Hybrid Time-Domain Methods and Wire Models for Computational.. - Ledfelt (2001)   (4 citations)  (Correct)

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R. F. Harrington. Field Computations by Moment Methods. The Macmillan Co., New York, 1968.

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