Asymptotic Waveform Evaluation (Awe) Technique for Frequency Domain Electromagnetic Analysis

Asymptotic Waveform Evaluation (Awe) Technique for Frequency Domain Electromagnetic Analysis

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-08-16

Total Pages: 30

ISBN-13: 9781725171350

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The Asymptotic Waveform Evaluation (AWE) technique is applied to a generalized frequency domain electromagnetic problem. Most of the frequency domain techniques in computational electromagnetics result in a matrix equation, which is solved at a single frequency. In the AWE technique, the Taylor series expansion around that frequency is applied to the matrix equation. The coefficients of the Taylor's series are obtained in terms of the frequency derivatives of the matrices evaluated at the expansion frequency. The coefficients hence obtained will be used to predict the frequency response of the system over a frequency range. The detailed derivation of the coefficients (called 'moments') is given along with an illustration for electric field integral equation (or Method of Moments) technique. The radar cross section (RCS) frequency response of a square plate is presented using the AWE technique and is compared with the exact solution at various frequencies. Cockrell, C. R. and Beck, F. B. Langley Research Center NASA-TM-110292, NAS 1.15:110292 RTOP 522-33-11-02...


Book Synopsis Asymptotic Waveform Evaluation (Awe) Technique for Frequency Domain Electromagnetic Analysis by : National Aeronautics and Space Administration (NASA)

Download or read book Asymptotic Waveform Evaluation (Awe) Technique for Frequency Domain Electromagnetic Analysis written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-16 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asymptotic Waveform Evaluation (AWE) technique is applied to a generalized frequency domain electromagnetic problem. Most of the frequency domain techniques in computational electromagnetics result in a matrix equation, which is solved at a single frequency. In the AWE technique, the Taylor series expansion around that frequency is applied to the matrix equation. The coefficients of the Taylor's series are obtained in terms of the frequency derivatives of the matrices evaluated at the expansion frequency. The coefficients hence obtained will be used to predict the frequency response of the system over a frequency range. The detailed derivation of the coefficients (called 'moments') is given along with an illustration for electric field integral equation (or Method of Moments) technique. The radar cross section (RCS) frequency response of a square plate is presented using the AWE technique and is compared with the exact solution at various frequencies. Cockrell, C. R. and Beck, F. B. Langley Research Center NASA-TM-110292, NAS 1.15:110292 RTOP 522-33-11-02...


Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis

Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis

Author:

Publisher:

Published: 1996

Total Pages: 18

ISBN-13:

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Book Synopsis Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis by :

Download or read book Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis written by and published by . This book was released on 1996 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis

Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis

Author: C. R. Cockrell

Publisher:

Published: 1996

Total Pages: 13

ISBN-13:

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Book Synopsis Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis by : C. R. Cockrell

Download or read book Asymptotic Waveform Evaluation (AWE) Technique for Frequency Domain Electromagnetic Analysis written by C. R. Cockrell and published by . This book was released on 1996 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Asymptotic Waveform Evaluation

Asymptotic Waveform Evaluation

Author: Eli Chiprout

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 207

ISBN-13: 1461531160

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The intense drive for signal integrity has been at the forefront ofrapid and new developments in CAD algorithms. Thousands ofengineers, intent on achieving the best design possible, use SPICE on a daily basis for analog simulation and general circuit analysis. But the strained demand for high data speeds, coupled with miniaturizationon an unprecedented scale, has highlighted the previously negligible effects of interconnects; effects which are not always handled appro priately by the present levels of SPICE. Signals at these higher speeds may be degraded by long interconnect lengths compared to the increasingly shorter sig nal rise times. Interconnect structures can be diverse (pins, connectors, leads, microstrips, striplines, etc. ) and present at any of the hierarchical packaging levels: integrated circuits, printed circuit boards, multi-chip modules or sys tem backplanes. Analysis of these effects in any CAD package has become a necessity. Asymptotic waveform evaluation (AWE) and other moment matching tech niques have recently proven useful in the analysis of interconnect structures and various networks containing large linear structures with nonlinear termi nations. Previously, all that was available to the designer was a full SPICE simulation or a quick but uncertain timing estimation. Moment matching, used in linear systems analysis as a method of model reduction, describes a method to extract a small set of dominant poles from a large network. The information is obtained from the Taylor series coefficients (moments) of that system.


Book Synopsis Asymptotic Waveform Evaluation by : Eli Chiprout

Download or read book Asymptotic Waveform Evaluation written by Eli Chiprout and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intense drive for signal integrity has been at the forefront ofrapid and new developments in CAD algorithms. Thousands ofengineers, intent on achieving the best design possible, use SPICE on a daily basis for analog simulation and general circuit analysis. But the strained demand for high data speeds, coupled with miniaturizationon an unprecedented scale, has highlighted the previously negligible effects of interconnects; effects which are not always handled appro priately by the present levels of SPICE. Signals at these higher speeds may be degraded by long interconnect lengths compared to the increasingly shorter sig nal rise times. Interconnect structures can be diverse (pins, connectors, leads, microstrips, striplines, etc. ) and present at any of the hierarchical packaging levels: integrated circuits, printed circuit boards, multi-chip modules or sys tem backplanes. Analysis of these effects in any CAD package has become a necessity. Asymptotic waveform evaluation (AWE) and other moment matching tech niques have recently proven useful in the analysis of interconnect structures and various networks containing large linear structures with nonlinear termi nations. Previously, all that was available to the designer was a full SPICE simulation or a quick but uncertain timing estimation. Moment matching, used in linear systems analysis as a method of model reduction, describes a method to extract a small set of dominant poles from a large network. The information is obtained from the Taylor series coefficients (moments) of that system.


Computational Electromagnetics and Its Applications

Computational Electromagnetics and Its Applications

Author: Thomas G. Campbell

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 328

ISBN-13: 9401155844

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This volume contains the proceedings of the first ICASE/LaRC Work shop on Computational Electromagnetics and Its Applications conducted by the Institute for Computer Applications in Science and Engineering and NASA Langley Research Center. We had several goals in mind when we decided, jointly with the Elec tromagnetics Research Branch, to organize this workshop on Computa tional Electromagnetics ( CEM). Among our goals were a desire to obtain an overview of the current state of CEM, covering both algorithms and ap plications and their effect on NASA's activities in this area. In addition, we wanted to provide an attractive setting for computational scientists with expertise in other fields, especially computational fluid dynamics (CFD), to observe the algorithms and tools of CEM at work. Our expectation was that scientists from both fields would discover mutually beneficial inter connections and relationships. Another goal was to learn of progress in solution algorithms for electromagnetic optimization and design problems; such problems make extensive use of field solvers and computational effi ciency is at a premium. To achieve these goals we assembled the renowned group of speakers from academia and industry whose talks are contained in this volume. The papers are printed in the same order in which the talks were pre sented at the meeting. The first paper is an overview of work currently being performed in the Electromagnetic Research Branch at the Langley Research Center.


Book Synopsis Computational Electromagnetics and Its Applications by : Thomas G. Campbell

Download or read book Computational Electromagnetics and Its Applications written by Thomas G. Campbell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the first ICASE/LaRC Work shop on Computational Electromagnetics and Its Applications conducted by the Institute for Computer Applications in Science and Engineering and NASA Langley Research Center. We had several goals in mind when we decided, jointly with the Elec tromagnetics Research Branch, to organize this workshop on Computa tional Electromagnetics ( CEM). Among our goals were a desire to obtain an overview of the current state of CEM, covering both algorithms and ap plications and their effect on NASA's activities in this area. In addition, we wanted to provide an attractive setting for computational scientists with expertise in other fields, especially computational fluid dynamics (CFD), to observe the algorithms and tools of CEM at work. Our expectation was that scientists from both fields would discover mutually beneficial inter connections and relationships. Another goal was to learn of progress in solution algorithms for electromagnetic optimization and design problems; such problems make extensive use of field solvers and computational effi ciency is at a premium. To achieve these goals we assembled the renowned group of speakers from academia and industry whose talks are contained in this volume. The papers are printed in the same order in which the talks were pre sented at the meeting. The first paper is an overview of work currently being performed in the Electromagnetic Research Branch at the Langley Research Center.


Application of AWE for RCS Frequency Response Calculations Using Method of Moments

Application of AWE for RCS Frequency Response Calculations Using Method of Moments

Author: C. J. Reddy

Publisher:

Published: 1996

Total Pages: 36

ISBN-13:

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Book Synopsis Application of AWE for RCS Frequency Response Calculations Using Method of Moments by : C. J. Reddy

Download or read book Application of AWE for RCS Frequency Response Calculations Using Method of Moments written by C. J. Reddy and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Pole and Zero Sensitivity Calculation in Asymptotic Waveform Evaluation

Pole and Zero Sensitivity Calculation in Asymptotic Waveform Evaluation

Author: John Y. Lee

Publisher:

Published: 1992

Total Pages: 37

ISBN-13:

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Abstract: "Asymptotic Waveform Evaluation (AWE) is a new method to approximate the behavior of linear(ized) circuits in either the time or the frequency domain in terms of a dominant pole/zero approximation. An efficient method for calculating the sensitivities of the poles and zeros found by AWE has been developed. Using the adjoint sensitivity method, it is possible to inexpensively compute the sensitivities of the poles and zeros with respect to all circuit parameters, as well as to suppressed circuit parasitics. The sensitivities of the approximate poles and zeros found by AWE show excellent correlation with those of the real circuit, and provide useful information in both the time and frequency domains."


Book Synopsis Pole and Zero Sensitivity Calculation in Asymptotic Waveform Evaluation by : John Y. Lee

Download or read book Pole and Zero Sensitivity Calculation in Asymptotic Waveform Evaluation written by John Y. Lee and published by . This book was released on 1992 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Asymptotic Waveform Evaluation (AWE) is a new method to approximate the behavior of linear(ized) circuits in either the time or the frequency domain in terms of a dominant pole/zero approximation. An efficient method for calculating the sensitivities of the poles and zeros found by AWE has been developed. Using the adjoint sensitivity method, it is possible to inexpensively compute the sensitivities of the poles and zeros with respect to all circuit parameters, as well as to suppressed circuit parasitics. The sensitivities of the approximate poles and zeros found by AWE show excellent correlation with those of the real circuit, and provide useful information in both the time and frequency domains."


The Finite Element Method in Electromagnetics

The Finite Element Method in Electromagnetics

Author: Jian-Ming Jin

Publisher: John Wiley & Sons

Published: 2015-02-18

Total Pages: 728

ISBN-13: 1118842022

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A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.


Book Synopsis The Finite Element Method in Electromagnetics by : Jian-Ming Jin

Download or read book The Finite Element Method in Electromagnetics written by Jian-Ming Jin and published by John Wiley & Sons. This book was released on 2015-02-18 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.


Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics

Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics

Author: Costas Sarris

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 135

ISBN-13: 3031016955

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This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust “adaptive meshing” approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.


Book Synopsis Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics by : Costas Sarris

Download or read book Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics written by Costas Sarris and published by Springer Nature. This book was released on 2022-05-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust “adaptive meshing” approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.


Scientific Computing in Electrical Engineering

Scientific Computing in Electrical Engineering

Author: Angelo Marcello Anile

Publisher: Springer Science & Business Media

Published: 2007-01-10

Total Pages: 460

ISBN-13: 3540328629

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This book is a collection of papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sicily, in 2004. The series of SCEE conferences aims at addressing mathematical problems which have a relevancy to industry. The areas covered at SCEE-2004 were: Electromagnetism, Circuit Simulation, Coupled Problems and General mathematical and computational methods.


Book Synopsis Scientific Computing in Electrical Engineering by : Angelo Marcello Anile

Download or read book Scientific Computing in Electrical Engineering written by Angelo Marcello Anile and published by Springer Science & Business Media. This book was released on 2007-01-10 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sicily, in 2004. The series of SCEE conferences aims at addressing mathematical problems which have a relevancy to industry. The areas covered at SCEE-2004 were: Electromagnetism, Circuit Simulation, Coupled Problems and General mathematical and computational methods.