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Adjoint Sensitivity Analysis of High Frequency Structures With M....pdf

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    Cover
    Copyright
    Contents
    Preface
    Acknowledgments
    Ebook Version and MATLAB Codes
    1 Introduction to sensitivity analysis approaches
    1.1 Introduction
    1.2 Finite difference approximations
    1.3 Adjoint sensitivity analysis of linear systems
    References
    2 Introduction to FDTD
    2.1 Basic equations
    2.2 FDTD updating equations for three-dimensional space
    2.3 FDTD updating equations for two-dimensional space
    2.4 FDTD updating equations for one-dimensional space
    2.5 Dispersive material modeling
    2.5.1 Modeling Lorentz medium using ADE technique
    2.5.2 Modeling Drude medium using ADE technique
    2.6 Anisotropic material modeling
    References
    3 The adjoint variable method for frequency-independent constitutive parameters
    3.1 Introduction
    3.2 The 1D case
    3.3 The 2D TM case
    3.4 The 3D AVM algorithm
    References
    4 Sensitivity analysis for frequency-dependent objective functions
    4.1 The monochromatic case
    4.2 The wideband case
    4.3 The self-adjoint case
    References
    5 Transient adjoint sensitivity analysis
    5.1 The single time-response case
    5.2 The complete transient response case
    5.3 An alternative formulation
    References
    6 Adjoint sensitivity analysis with dispersive materials
    6.1 The general dispersive material case
    6.1.1 The Lorentz model
    6.1.2 The Drude model
    6.1.3 The Debye model
    6.2 Implementation
    References
    7 Adjoint sensitivity analysis of anisotropic structures
    7.1 AVM for anisotropic materials
    7.2 Implementation
    References
    8 Nonlinear adjoint sensitivity analysis
    8.1 Nonlinear AVM
    8.2 Implementation
    References
    9 Second-order adjoint sensitivities
    9.1 Hessian finite difference evaluation
    9.2 A hybrid adjoint technique
    9.3 The fully adjoint approach
    9.3.1 Implementation
    9.3.2 The algorithm
    References
    10 Advanced topics
    10.1 AVM improvements
    10.1.1 Coarse spatial sampling
    10.1.2 Spectral sampling
    10.2 AVM for other numerical techniques
    10.2.1 The TLM method
    10.2.2 Frequency domain methods
    10.3 Applications
    References
    Index
    A
    B
    C
    D
    E
    F
    G
    H
    I
    K
    L
    M
    N
    O
    P
    R
    S
    T
    W
    Y
    Z
    Back Cover
    Adjoint Sensitivity Analysis of High Frequency Structures with MATLAB‡
    The ACES Series on Computational Electromagnetics and Engineering (CEME) Andrew F. Peterson, PhD – Series Editor The volumes in this series encompass the development and application of numerical techniques to electrical systems, including the modeling of electromagnetic phenomena over all frequency ranges and closely related techniques for acoustic and optical analysis. The scope includes the use of computation for engineering design and optimization, as well as the application of commercial modeling tools to practical problems. The series will include titles for undergraduate and graduate education, research monographs for reference, and practitioner guides and handbooks. Series Editorial Board Andrew F. Peterson – Series Editor, Georgia Institute of Technology Atef Z. Elsherbeni – Associate Series Editor, Colorado School of Mines James C. Rautio, Associate Series Editor, Sonnet Software, Inc. Branislav M. Notaros, Associate Series Editor, Colorado State University Titles in the Series Elsherbeni and Demir – The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB“ Simulations, 2nd Edition (2015) Elsherbeni, Nayeri, and Reddy – Antenna Analysis and Design Using FEKO Electromagnetic Simulation Software (2014) Yu, Yang, and Li – VALU, AVX and GPU Acceleration Techniques for Parallel FDTD Methods (2013) Warnick – Numerical Methods for Engineering: An Introduction Using MATLAB“ and Computational Electromagnetics (2011)
    Adjoint Sensitivity Analysis of High Frequency Structures with MATLAB‡ ACES Series Mohamed Bakr McMaster University Atef Elsherbeni Colorado School of Mines Veysel Demir Northern Illinois University theiet.org
    Published by SciTech Publishing, an imprint of the IET www.scitechpub.com www.theiet.org Copyright † 2017 by SciTech Publishing, Edison, NJ. All rights reserved. First published 2017 No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at copyright.com. Requests to the Publisher for permission should be addressed to The Institution of Engineering and Technology, Michael Faraday House, Six Hills Way, Stevenage, Herts, SG1 2AY, United Kingdom. While the authors and publisher believe that the information and guidance given in this work are correct, all parties must rely upon their own skill and judgement when making use of them. Neither the authors nor publisher assumes any liability to anyone for any loss or damage caused by any error or omission in the work, whether such an error or omission is the result of negligence or any other cause. Any and all such liability is disclaimed. ISBN 978-1-61353-231-7 (hardback) ISBN 978-1-61353-232-4 (PDF) Typeset in India by MPS Limited Printed in the UK by CPI Antony Rowe Ltd
    To my parents, my wife, Mahetab, and my children Omar, Youssef, Jannah, and Noor — M. Bakr To the memory of my parents, my wife, Magda, my daughters, Dalia and Donia, and my son Tamer — A. Elsherbeni To my parents Abdurrahman and Aysan, my wife Minmei, my daughter Laureen, and my son Ronnie — V. Demir
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    Contents Preface Acknowledgments Ebook Version and MATLAB Codes 1 Introduction to sensitivity analysis approaches Introduction 1.1 1.2 Finite difference approximations 1.3 Adjoint sensitivity analysis of linear systems References 2 Introduction to FDTD 2.1 Basic equations 2.2 FDTD updating equations for three-dimensional space 2.3 FDTD updating equations for two-dimensional space 2.4 FDTD updating equations for one-dimensional space 2.5 Dispersive material modeling 2.5.1 Modeling Lorentz medium using ADE technique 2.5.2 Modeling Drude medium using ADE technique 2.6 Anisotropic material modeling References 3 The adjoint variable method for frequency-independent constitutive parameters Introduction 3.1 3.2 The 1D case 3.3 The 2D TM case 3.4 The 3D AVM algorithm References 4 Sensitivity analysis for frequency-dependent objective functions 4.1 The monochromatic case 4.2 The wideband case 4.3 The self-adjoint case References ix xi xii 1 1 2 6 25 27 27 29 37 40 41 42 44 44 47 49 49 50 62 85 98 99 99 107 122 132
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