Time Domain Integral Equation-based Methods for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media

Time Domain Integral Equation-based Methods for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media
Author: Peilin Jiang
Publisher: ProQuest
Total Pages: 167
Release: 2007
Genre:
ISBN: 9780549365563
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This dissertation is concerned with the development of efficient time domain integral equation (TDIE)-based marching-on-in-time (MOT) schemes pertinent to transient analysis of electromagnetic scattering from objects residing in lossy media. Classical MOT schemes have a computational complexity scaling as O( N2sN2t ) and a memory requirement as O( N2sNt ), respectively. To alleviate the demands of computational resources, two techniques are proposed in this dissertation, viz., the Prony series-based recursive convolution scheme and the multilevel plane wave time domain (PWTD) algorithm. The former reduces the computational cost to O( N2sNt log Nt). The latter is the extension of the PWTD scheme for free space and is able to speed up the evaluation of fields radiated by band-limited and time-limited sources far enough away. When these two techniques are hybridized in the MOT scheme, i.e., the recursive convolution scheme evaluates the near-field interaction, and the multilevel PWTD algorithm evaluates the far-field interactions, the enhanced scheme has a computational complexity of O(NsNt log Ns(log Ns + log 2 Nt)) and a memory requirement of O(NsNt). As applications of the developed solver, the electromagnetic scattering from perfect electric conductors residing in lossy media and the light scattering from homogeneous and inhomogeneous biological cells are analyzed. The corresponding TDIEs are also formulated considering the particularities of application scenarios. Numerous numerical examples are presented to demonstrate the fast solver's efficacy and ability to solve realistic problems.

Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium

Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium
Author: Yongpin Chen
Publisher:
Total Pages:
Release: 2017-01-26
Genre:
ISBN: 9781361290002
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This dissertation, "Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium" by Yongpin, Chen, 陈涌频, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Surface integral equation (SIE) method with the kernel of layered medium Green's function (LMGF) is investigated in details from several fundamental aspects. A novel implementation of discrete complex image method (DCIM) is developed to accelerate the evaluation of Sommerfeld integrals and especially improve the far field accuracy of the conventional one. To achieve a broadband simulation of thin layered structure such as microstrip antennas, the mixed-form thin-stratified medium fast-multipole algorithm (MF-TSM-FMA) is developed by applying contour deformation and combining the multipole expansion and plane wave expansion into a single multilevel tree. The low frequency breakdown of the integral operator is further studied and remedied by using the loop-tree decomposition and the augmented electric field integral equation (A-EFIE), both in the context of layered medium integration kernel. All these methods are based on the EFIE for the perfect electric conductor (PEC) and hence can be applied in antenna and circuit applications. To model general dielectric or magnetic objects, the layered medium Green's function based on pilot vector potential approach is generalized for both electric and magnetic current sources. The matrix representation is further derived and the corresponding general SIE is setup. Finally, this SIE is accelerated with the DCIM and applied in quantum optics, such as the calculation of spontaneous emission enhancement of a quantum emitter embedded in a layered structure and in the presence of nano scatterers. DOI: 10.5353/th_b4775283 Subjects: Electromagnetic waves - Scattering - Mathematical models

Parallel Algorithms in Computational Science and Engineering

Parallel Algorithms in Computational Science and Engineering
Author: Ananth Grama
Publisher: Springer Nature
Total Pages: 421
Release: 2020-07-06
Genre: Computers
ISBN: 3030437361
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This contributed volume highlights two areas of fundamental interest in high-performance computing: core algorithms for important kernels and computationally demanding applications. The first few chapters explore algorithms, numerical techniques, and their parallel formulations for a variety of kernels that arise in applications. The rest of the volume focuses on state-of-the-art applications from diverse domains. By structuring the volume around these two areas, it presents a comprehensive view of the application landscape for high-performance computing, while also enabling readers to develop new applications using the kernels. Readers will learn how to choose the most suitable parallel algorithms for any given application, ensuring that theory and practicality are clearly connected. Applications using these techniques are illustrated in detail, including: Computational materials science and engineering Computational cardiovascular analysis Multiscale analysis of wind turbines and turbomachinery Weather forecasting Machine learning techniques Parallel Algorithms in Computational Science and Engineering will be an ideal reference for applied mathematicians, engineers, computer scientists, and other researchers who utilize high-performance computing in their work.

Advances in Time-Domain Computational Electromagnetic Methods

Advances in Time-Domain Computational Electromagnetic Methods
Author: Qiang Ren
Publisher: John Wiley & Sons
Total Pages: 724
Release: 2022-11-15
Genre: Science
ISBN: 1119808375
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Discover state-of-the-art time domain electromagnetic modeling and simulation algorithms Advances in Time-Domain Computational Electromagnetic Methods delivers a thorough exploration of recent developments in time domain computational methods for solving complex electromagnetic problems. The book discuses the main time domain computational electromagnetics techniques, including finite-difference time domain (FDTD), finite-element time domain (FETD), discontinuous Galerkin time domain (DGTD), time domain integral equation (TDIE), and other methods in electromagnetic, multiphysics modeling and simulation, and antenna designs. The book bridges the gap between academic research and real engineering applications by comprehensively surveying the full picture of current state-of-the-art time domain electromagnetic simulation techniques. Among other topics, it offers readers discussions of automatic load balancing schemes for DG DG-FETD/SETD methods and convolution quadrature time domain integral equation methods for electromagnetic scattering. Advances in Time-Domain Computational Electromagnetic Methods also includes: Introductions to cylindrical, spherical, and symplectic FDTD, as well as FDTD for metasurfaces with GSTC and FDTD for nonlinear metasurfaces Explorations of FETD for dispersive and nonlinear media and SETD-DDM for periodic/quasi-periodic arrays Discussions of TDIE, including explicit marching-on-in-time solvers for second-kind time domain integral equations, TD-SIE DDM, and convolution quadrature time domain integral equation methods for electromagnetic scattering Treatments of deep learning, including time domain electromagnetic forward and inverse modeling using a differentiable programming platform Ideal for undergraduate and graduate students studying the design and development of various kinds of communication systems, as well as professionals working in these fields, Advances in Time-Domain Computational Electromagnetic Methods is also an invaluable resource for those taking advanced graduate courses in computational electromagnetic methods and simulation techniques.

Digest

Digest
Author: IEEE Antennas and Propagation Society. International Symposium
Publisher:
Total Pages: 542
Release: 2005
Genre: Antennas (Electronics)
ISBN:
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Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane

Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane
Author: Eric T. Howe
Publisher:
Total Pages: 80
Release: 2001-09-01
Genre: Electromagnetic waves
ISBN: 9781423525530
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In this research the electromagnetic scattering of a plane wave from a two-dimensional cavity embedded in an infinite, perfectly conducting ground plane is investigated. The plane wave is assumed to be under transverse electric (TE) polarization with respect to the x-axis. The cavity may be empty or filled with an arbitrary homogeneous, lossy material. A coupled set of scalar integral equations that govern the electromagnetic scattering is implemented. An approximate solution to the scalar integral equations is found via a Method of Moments (MoM) algorithm. The algorithm is implemented in a computer code, and approximations to the total magnetic field on the cavity surface and aperture as well as the normal derivative of the total magnetic field on the cavity aperture are obtained. These fields are then used to calculate the two-dimensional monostatic RCS signatures of various test cavities. The numerical results from the algorithm are shown to agree well with the RCS signatures calculated by other well-known methods and published results. In addition to being accurate, the algorithm is very computationally efficient. The process results in simply solving a relatively small, well-conditioned matrix system for each incident angle to produce the unknown fields.

The Linear Sampling Method in Inverse Electromagnetic Scattering

The Linear Sampling Method in Inverse Electromagnetic Scattering
Author: Fioralba Cakoni
Publisher: SIAM
Total Pages: 147
Release: 2011-01-01
Genre: Mathematics
ISBN: 0898719402
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The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation's solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.

Time Domain Electromagnetics

Time Domain Electromagnetics
Author: Sadasiva M. Rao
Publisher: Elsevier
Total Pages: 385
Release: 1999-07-26
Genre: Technology & Engineering
ISBN: 0080519245
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Time Domain Electromagnetics deals with a specific technique in electromagnetics within the general area of electrical engineering. This mathematical method has become a standard for a wide variety of applications for design and problem solving. This method of analysis in electromagnetics is directly related to advances in cellular and mobile communications technology, as well as traditional EM areas such as radar, antennas, and wave propagation. Most of the material is available in the research journals which is difficult for a non-specialist to locate, read, understand, and effectively use for the problem at hand. Only book currently available to practicing engineers and research scientists exclusively devoted to this subject Includes contributions by the world's leading experts in electromagnetics Presents the most popular methods used in time domain analysis are included at one place with thorough discussion of the methods in an easily understandable style In each chapter, many simple and practical examples are discussed thoroughly to illustrate the salient points of the material presented All chapters are written in a consistent style that allows the book to be of use for self-study by professionals as well as for use in a graduate-level course in electrical engineering