Deterministic and Stochastic Modeling in Computational Electromagnetics - Dragan Poljak - E-Book

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Dragan Poljak

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Deterministic and Stochastic Modeling in Computational Electromagnetics Help protect your network with this important reference work on cyber security Deterministic computational models are those for which all inputs are precisely known, whereas stochastic modeling reflects uncertainty or randomness in one or more of the data inputs. Many problems in computational engineering therefore require both deterministic and stochastic modeling to be used in parallel, allowing for different degrees of confidence and incorporating datasets of different kinds. In particular, non-intrusive stochastic methods can be easily combined with widely used deterministic approaches, enabling this more robust form of data analysis to be applied to a range of computational challenges. Deterministic and Stochastic Modeling in Computational Electromagnetics provides a rare treatment of parallel deterministic-stochastic computational modeling and its beneficial applications. Unlike other works of its kind, which generally treat deterministic and stochastic modeling in isolation from one another, it aims to demonstrate the usefulness of a combined approach and present particular use-cases in which such an approach is clearly required. It offers a non-intrusive stochastic approach which can be incorporated with minimal effort into virtually all existing computational models. Readers will also find: * A range of specific examples demonstrating the efficiency of deterministic-stochastic modeling * Computational examples of successful applications including ground penetrating radars (GPR), radiation from 5G systems, transcranial magnetic and electric stimulation (TMS and TES), and more * Introduction to fundamental principles in field theory to ground the discussion of computational modeling Deterministic and Stochastic Modeling in Computational Electromagnetics is a valuable reference for researchers, including graduate and undergraduate students, in computational electromagnetics, as well as to multidisciplinary researchers, engineers, physicists, and mathematicians.

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Deterministic and Stochastic Modeling in Computational Electromagnetics

Integral and Differential Equation Approaches

Dragan Poljak and Anna Šušnjara

University of SplitCroatia

Copyright © 2024 by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

Published by John Wiley & Sons, Inc., Hoboken, New Jersey.Published simultaneously in Canada.

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Library of Congress Cataloging-in-Publication DataNames: Poljak, D. (Dragan), author. | Šušnjara, Anna, author.Title: Deterministic and stochastic modeling in computational electromagnetics : integral and differential equation approaches / Dragan Poljak, Anna Šušnjara.Description: Hoboken, New Jersey : Wiley, [2024] | Includes index.Identifiers: LCCN 2023037537 (print) | LCCN 2023037538 (ebook) | ISBN 9781119989240 (hardback) | ISBN 9781119989257 (adobe pdf) | ISBN 9781119989264 (epub)Subjects: LCSH: Electromagnetism–Mathematical models. | Stochastic models.Classification: LCC QC760 .P625 2024 (print) | LCC QC760 (ebook) | DDC 537.01/515--dc23/eng/20231017LC record available at https://lccn.loc.gov/2023037537LC ebook record available at https://lccn.loc.gov/2023037538

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About the Authors

Dragan Poljak (Senior Member, IEEE) received the Ph.D. degree in electrical engineering from the University of Split, Croatia, in 1996. He is currently a full professor with the Department of Electronics and Computing, University of Split. He is also involved in ITER Physics EUROfusion Collaboration and in the Croatian Center for Excellence in Research for Technology Sciences. He has published more than 160 journals and 250 conference papers and authored some books, e.g. two by Wiley, Hoboken, NJ, USA, and one by Elsevier, St. Louis, MO, USA. His research interests include computational electromagnetics (electromagnetic compatibility, bioelectromagnetics, and plasma physics). From May 2013 to June 2021, he was a member of the Board of the Croatian Science Foundation. He is a member of the Editorial Board of Engineering Analysis with Boundary Elements, Mathematical Problems in Engineering, and IET Science, Measurement and Technology. He was awarded several prizes for his achievements, such as the URSI Young Scientists Award in 1999, the National Prize for Science in 2004, the Croatian Section of IEEE Annual Award in 2016, the Technical Achievement Award of the IEEE EMC Society in 2019, and the George Green Medal from the University of Mississippi in 2021. He is active in a few working groups of the IEEE/International Committee on Electromagnetic Safety (ICES) Technology Committee 95 SC6 EMF Dosimetry Modeling.

Anna Šušnjara received her PhD degree in electrical engineering from the University of Split, Croatia, in 2021. She is currently a postdoc researcher at the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split. Her research interests include numerical modeling, uncertainty quantification, and sensitivity analysis in computational electromagnetics. Dr. Šušnjara is involved in ITER physics EUROfusion collaboration. From 2015 to 2021, she was a member of EUROfusion work package for code development in European Transport Solver (ETS), while from 2021, she has been a member of IFMIF‐DONES project. Dr. Šušnjara is a member of IEEE and BIOEM societies. She currently serves as Vice President of IEEE EMC Croatian chapter. To date, Dr. Šušnjara has (co)authored 19 journal and more than 40 conference papers. She serves as a reviewer for seven journals and two conferences. Dr. Šušnjara gave lectures about computational electromagnetics at several European academic institutions and tutorials at international scientific conferences. She was awarded several prizes for her achievements. In 2023, she received the URSI Young Scientist Award at the 35th URSI GASS in Sapporo, Japan. She was also awarded the National Prize for Science and the University of Split Prize for Science in 2021 and 2022, respectively. In 2016, she received the best poster paper award at BioEM conference in Ghent, Belgium, and spent one month at Politecnico di Torino as SPI2016 Young Investigator Training Program awardee.

Preface

Most of the computational models used in engineering electromagnetics are deterministic in nature, i.e. one deals with an exact set of input data in a sense of either material properties or geometry. However, in many scenarios, there are problems with uncertainty in the input data set as some system properties are partly or entirely unknown. Therefore, a stochastic approach is required to determine the relevant statistics about the given responses, thus providing the assessment of the related confidence intervals in the set of numerical results obtained as an output of a given deterministic model. Of particular interest are nonintrusive stochastic approaches that could be easily coupled with widely used well‐established deterministic models, by efficiently postprocessing numerical results arising from deterministic models.

The goal of this book is to demonstrate the efficiency of parallel use of deterministic and stochastic models featuring combination of well‐established analytical/numerical methods with stochastic analysis techniques. The nonintrusive stochastic approach presented in the book can be readily incorporated into majority of computational electromagnetics (CEM) models with little effort aiming to quickly provide a more detailed insight into the relationship between the input parameters and the output of interest.

A variety of examples throughout the book are presented to clearly demonstrate the efficiency of deterministic‐stochastic approaches in CEM models, and a reference list is given at the end of each chapter. The book provides computational examples illustrating successful application of stochastic collocation (SC) technique in the areas of ground‐penetrating radars (GPRs), grounding systems, radiation from 5G systems, human exposure to electromagnetic fields, transcranial magnetic stimulation (TMS), transcranial electric stimulation (TES), transient analysis of buried wires, and design of instrumental landing system (ILS).

The book is divided into three parts. Part I outlines the fundamentals of classical electromagnetics and basics of numerical modeling. Part II deals with deterministic models pertaining to analysis of thin wires in both frequency and time domains, human exposure to electromagnetic fields in GHz frequency range, and multiphysics phenomena such as plasma confinement in tokamak. Finally, Part III is entirely devoted to stochastic modeling covering a detailed description of SC method and sensitivity analysis. Part III also contains a number of applications arising from electromagnetic‐thermal dosimetry, biomedical applications, electromagnetic compatibility (EMC), GPRs, grounding systems, air traffic control systems, and transport phenomena in tokamak.

The material given in this book is dominantly based on papers previously published by the authors, suitably modified to present the results in a uniform design and format. Additional related material is planned to be prepared aiming to complete some details and extensions of the published work. An extensive reference list of other related work is also included. The goal is to provide a reference on the deterministic‐stochastic modeling in different areas of CEM covering frequency and time domain analyses of wire antennas and their various applications, EMC, computational models of lines and cables, lightning, grounding systems, GPRs, magnetohydrodynamics, bioelectromagnetics, and biomedical applications of electromagnetic fields.

As the book covers multidisciplinary phenomena, such as electromagnetic‐thermal dosimetry, magnetohydrodynamics, and plasma physics, the authors hope it could be of interest to multidisciplinary researchers, engineers, physicists, and mathematicians.

The Authors

Split, Croatia, 2023

Part ISome Fundamental Principles in Field Theory