Green"s function, finite elements, and microwave planar circuits by J. Helszajn

Cover of: Green

Published by J. Wiley in Chichester, New York .

Written in English

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  • Microwave integrated circuits -- Mathematical models.,
  • Green"s functions.,
  • Finite element method.

Edition Notes

Includes bibliographical references and index.

Book details

StatementJ. Helszajn.
LC ClassificationsTK7876 .H418 1996
The Physical Object
Paginationxiv, 259 p. :
Number of Pages259
ID Numbers
Open LibraryOL969397M
ISBN 100471966851
LC Control Number96005958

Download Green"s function, finite elements, and microwave planar circuits

Green's Function, Finite Elements and Microwave Planar Circuits [Helszajn, J.] on *FREE* shipping on Greens function offers. Green's Function, Finite Elements and Microwave Planar CircuitsCited by: 7. Get this from a library. Green's function, finite elements, and microwave planar circuits. [J Helszajn] -- The application of Greens function to planar microwave circuits is now very well accepted as a fundamental tool in electromagnetic analysis.

Combining various modern mathematical techniques this book. CAD USING G R E E N S FUNCTIONS A N D FINITE ELEMENTS MICROSTRIP CIRCULATOR DISSIPATION LOSSES VERSUS HEIGHT A T 6GHZ 1 a (3 cn w a a s z o_ I- aQ a a `/1 0 0 20 40 60 80 HEIGHT, MILS FIGURE Dissipation losses versus substrate thickness for a C-band (6 GHz) YIG circulator calculated using a uniform Green's function Cited by: 3.

Green's Functions For Triangular Segments In Planar Microwave Circuits Abstract: Green's functions are developed for the analysis of triangular segments in microwave planer circuits.

Three types of triangles (30/spl deg//spl deg/ right-angle, equilateral and isosceles right-angled) are treated by placing additional image sources outside the Cited by: The second- and third-order elements, derived by this approach, are successfully applied in the analysis of planar microwave circuits, rendering the application of finite element method in such.

Finite element methods. Chapter 3 – Hybrid mode analysis of planar microwave circuits with diagonal. anisotropy. Introduction Calculation of Dyadic Green’s functions. the Green’s functions level so that any discretization scheme can be used with an integral equation technique for the analysis of complex-shaped shielded circuits and antennas.

A one-stop reference to the major techniques for analyzing microwave planar transmission line structures The last two decades have seen important progress in the development of methods for the analysis of microwave and millimeter-wave passive structures, which contributed greatly to microwave integrated circuit design while also stimulating the development of new planar transmission lines.

Novel closed-form Green's function in shielded layered media On the network characterization of planar passive circuits using the method of moments Spectral Methods in Fluid Dynamics The finite. The applications of CFBM to Greens function planar circuits are also demonstrated. Comparisons of the CFBM results with those obtained using the finite element method, the boundary element method or experimental results are made and shown to be in good agreement.

Depending on the choice of a Green function, some techniques can only be applied to. The contribution of this paper is to present the analytical evaluation of the matrix elements when the finite elements Green's functions are used, and to demonstrate the amount of improvement in.

Kitazawa: Choice of the Green’s Function in the Contour-Integral Analysis of Planar Circuits. An internal report in Dept.

of Electronic Engineering, Univ. of. Green's functions are widely used in electrodynamics and quantum field theory, where the relevant differential operators are often difficult or impossible to solve exactly but can be solved perturbatively using Green's functions.

In field theory contexts the Green's function is often called the propagator or two-point correlation function since. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Integration of electromagnetic and circuit analyses for the modeling of spatially distributed microwave and millimeterwave circuits, requires establishment of compatible ports which are defined in both the circuit and the electromagnetic realms.

Four techniques are developed here and contrasted for the extraction. In this chapter we examine the Galerkin boundary finite element method with emphasis on those aspects that differentiate it from the traditional finite element method.

We focus on the use of Green’s function and low-order polynomials as weight (or test) and shape (or trial) functions and the subsequent application of the Galerkin principle.

vi CONTENTS The Standard form of the Heat Eq Correspondence with the Wave Equation Green’s Function. The book's design tables are a unique feature, offering valuable design support. Written by an international authority on non-reciprocal microwave circuits and devices, the book is organized into logical blocks of chapters that focus on specific effects and circuit aspects of the stripline circulator.

Abstract: A new fullwave global analysis of complex inhomogeneous microwave structures including passive or active, linear or nonlinear lumped elements is presented. For a given structure, only one electromagnetic simulation of the distributed part, by a three-dimensional (3-D) finite element method using edge elements, is needed corresponding to the insertion of variable lumped elements.

In this work, a quasi-static implementation of the partial element equivalent circuit (PEEC) method for the analysis of planar radiofrequency (RF) and microwave (uW) components is proposed. The procedure is divided in three parts. First, an alternative PEEC formulation based on energy concepts is described.

Abstract: The capacitance coefficients for a system of irregular finite conductors on a dielectric sheet are considered. There are two parts to the Green's function-integral equation approach considered herein: the first deals with a derivation of Green's functions for a desired mathematical model; the second solves the integral equation by a discretization procedure in which a solution for a.

Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering.

This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. Finite element method for electromagnetics: antennas, microwave circuits, and scattering applications John L. Volakis, Arindam Chatterjee, Leo C. Kempel The original goal of writing the book was to serve as a text for beginning graduate students Interested in the application of the finite element method and its hybrid versions to.

The finite element method (FEM), or finite element analysis (FEA), is a computational technique used to obtain approximate solutions of boundary value problems in engineering. Boundary value problems are also called field problems.

The field is the domain of interest. Full-wave 3D analysis of boxed microwave planar circuits based on high-T c in the case of multilayered anisotropic media the Green's functions are determined by the method based M.N.

Goubina, D.V. KholodniakDevelopment of CAD tool for a design of microwave planar HTS filters. IEEE Trans. Microwave Theory Tech., 48 (), pp. planar microwave engineering. A circuit employing resistances, capacitors, operational amplifiers, and diodes in antiparallel as nonlinear elements is analytically, numerically, and experimentally investigated in this chapter.

The mathematical model describing the circuit is a three-dimensional autonomous system with a nonlinear term in the form of a hyperbolic sine function. Free Online Library: Finite Element Method Analysis of Symmetrical Coupled Microstrip Lines.

by "International Journal of Computing and Digital Systems"; Computers and Internet Electromagnetism Electric properties Methods Finite element method Integrated circuits Power lines Semiconductor chips Wave propagation. ROBUST HYBRID FINITE ELEMENT METHODS FOR ANTENNAS AND MICROWAVE CIRCUITS J.

Gong and J.L. Volakis National Aeronautics and Space Administration Langley Research Center Hampton, VA October THE UNIVERSITY OF MICHIGAN Radiation Laboratory Department of Electrical Engineering and Computer Science Ann Arbor, Michigan USA. Analysis of Planar Circuits Having Simple Shapes.- Background.- Basic Equations.- Wave Equation.- Boundary Conditions for Cases when External Ports Are Absent.- Eigenfunction Expansion.- A Simple Example of the Solution.- Boundary Condition at Ports.- Derivation of Circuit Characteristics.- About the Author KAI CHANG, PhD, is the Raytheon E-Systems Endowed Professor in the Department of Electrical Engineering at Texas A&M University where he teaches and performs research in microwave devices, circuits, and addition to publishing more than technical papers and twelve books on microwave circuits, components, antennas and subsystems, Dr.

Chang is an award. Created Date: 10/4/ PM. Spatial-Domain Green’s Functions Transformation of Green’s functions from the spectral do-main to spatial domain is obtained by the following Sommer-feld integrals: (1) where is the Hankel function of the second kind, is the spectral-domain Green’s function, which can be obtained an-alytically for planar multilayered media [14], [ Method of Moments (Planar) MoM is a frequency-domain solution that meshes conductors only and uses Green’s functions to calculate the effect of conductor currents on each other (Fig.

In RFIC applications, MoM solvers are typically used for distributed lines connected by vias, where modeling phase delay is critical. Electrical Engineering Finite Element Method for Electromagnetics Antennas, Microwave Circuits, and Scattering Applications A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G.

Dudley, Series Editor Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical. The stripline junction circulator is a unique three-port non-reciprocal microwave junction used to connect a single antenna to both a transmitter and a receiver.

In this volume electrical engineer Helszajn discusses the theory and practice of this class of circulator. This book elucidates how Finite Element methods look like from the perspective of Green’s functions, and shows new insights into the mathematical theory of Finite Elements.

Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem.

Figure 1 is a comparison of a 4 GHz ferrite phase shifter element to a 4 GHz electro-optic phase shifter element. It is the much smaller size and the fact that the generation of electric field inherently takes up less space than magnetic field generation that makes the electro-optic phase shifter compatible with planar circuit design.

Ozgun, R. Mittra, M. Kuzuoglu, “PO-Based Characteritstic Basis Finite Element Method (CBFEM-PO)—A parallel, iteration-free domain decomposition algorithm using perfectly matched layers for large-scale electromagnetic scattering problems,” Microwave and.

BOOK EXCERPT: The growth in RF and wireless/mobile computing devices that operate at microwave frequencies has resulted in explosive demand for integrated circuits capable of operating at such frequencies in order to accomplish functions like frequency division, phase shifting, attenuation, and isolators and circulators for antennas.

This book elucidates how Finite Element methods look like from the perspective of Green's functions, and shows new insights into the mathematical theory of Finite Elements. Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem.

However, for planar structures in a shielded environment, the Green's function is a sum of sines and cosines. There are no nasty integrations (as there are in unshielded environment). In addition, planar MoM requires a 4-D integration (2-D over the source subsection and 2 .3) The waveguide circuit, which should be called a three-dimensional circuit, in the sense that the circuit elements are comparable to the wavelength in all three directions.

The principal subject of this book is the analysis and design (synthesis) theories for another circuit class which appeared in the late s and became common in the s.

The answer lies in the infinite ground plane required by these programs. Indeed, the commercial program's prime object of analysis is the interaction between this ground plane and planar conductors involving the Green function of an electric current dipole on a grounded substrate.[7].

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