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Surface Integral Equation Method For Analyzing Electromagnetic Scattering In Layered Medium
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Book Synopsis Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium by : Yongpin Chen
Download or read book Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium written by Yongpin Chen and published by Open Dissertation Press. This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium by : Yongpin Chen
Download or read book Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium written by Yongpin Chen and published by . This book was released on 2011 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Equations and Iteration Methods in Electromagnetic Scattering by : A. B. Samokhin
Download or read book Integral Equations and Iteration Methods in Electromagnetic Scattering written by A. B. Samokhin and published by Walter de Gruyter. This book was released on 2013-03-12 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane by : Eric T. Howe
Download or read book Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane written by Eric T. Howe and published by . This book was released on 2001-09-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Chew
Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Chew and published by Springer Nature. This book was released on 2022-05-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Book Synopsis Analysis of Electromagnetic Scattering by Arbitrary Shaped Anisotropic Objects Using Combined Field Surface Integral Equation Formulation by : Benjamin Beker
Download or read book Analysis of Electromagnetic Scattering by Arbitrary Shaped Anisotropic Objects Using Combined Field Surface Integral Equation Formulation written by Benjamin Beker and published by . This book was released on 1988 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Novel Single Source Integral Equation for Analysis of Electromagnetic Scattering by Penetrable Objects by : Farhad Sheikh Hosseini Lori
Download or read book Novel Single Source Integral Equation for Analysis of Electromagnetic Scattering by Penetrable Objects written by Farhad Sheikh Hosseini Lori and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a novel single source surface electric field integral equation (EFIE) for the full-wave scattering problems by homogeneous dielectric objects and magneto-quasi-static characterization of the multiconductor transmission lines (MTLs) to determine inductance and resistance. Both the low and higher order method of moments (MoM) schemes are developed for numerical solution of this novel equation. The required theorems and derivations are given in detail. Numerical validations of this equation are conducted for various formulations such as scalar and vector 2D scattering problems, full-wave 3D scattering problems, and the problems of current flow in the 2D conductors of complex cross-sections. Error controllability of the numerically computed fields confirms that the proposed equation is rigorous in nature and may be an advantageous alternative to the other known single and double source surface integral equations (SIEs). The proposed single source integral equation (SSIE) features only electric type Green's functions, which distinguishes it from the previously know SSIE formulations. As such the new equation can be formulated in the form free of derivatives acting on the kernels. The new SSIE also features only one unknown surface function instead of two unknown functions as featured in the traditional SIEs. Unlike previously known single source surface integral equations derived through restricting of the single source field representation with surface equivalence principle, the new equation is obtained by constraining of the such representation with the volume equivalence principle. As a result, the new equation features integral operators that translate the fields from the surface of the scatterer to its volume and then back to its surface, lending it the name of Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE).
Book Synopsis Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods by : Pasi Ylä-Oijala
Download or read book Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods written by Pasi Ylä-Oijala and published by . This book was released on 2005 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Augmented Surface Integral Equation Method for Low-frequency Electromagnetic Analysis by : Zhiguo Qian
Download or read book Augmented Surface Integral Equation Method for Low-frequency Electromagnetic Analysis written by Zhiguo Qian and published by . This book was released on 2009 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several fundamental aspects of the surface integral equation (SIE) method including the low-frequency breakdown, the skin effect, and the substrate effect, have been addressed for full-wave electromagnetic analysis in the low-frequency regime, especially the modeling of electrical interconnects on chip and package levels. The augmentation technique is a simple and efficient remedy for the low-frequency breakdown, which is the bottleneck of the broadband simulation. Based on the augmented formulations, very complicated problems in the real world can be efficiently solved with appropriate preconditioning and fast algorithm acceleration. As required in many applications, a generalized impedance boundary condition (GIBC) formulation is developed to handle the skin effect rigorously and efficiently. It degenerates into traditional methods with two steps of approximations. These new techniques are also combined together into a comprehensive formulation to cover both the skin effect and the substrate effect without any low-frequency instability.
Book Synopsis Time Domain Integral Equation-based Methods for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media by : Peilin Jiang
Download or read book Time Domain Integral Equation-based Methods for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media written by Peilin Jiang and published by ProQuest. This book was released on 2007 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Novel Surface-volume-surface Electric Field Integral Equations for Electromagnetic Analysis of 3-D Metal-dielectric Objects and H-matrix Strategies for Their Fast Direct Solution by : Reza Gholami
Download or read book Novel Surface-volume-surface Electric Field Integral Equations for Electromagnetic Analysis of 3-D Metal-dielectric Objects and H-matrix Strategies for Their Fast Direct Solution written by Reza Gholami and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hierarchical (H)-matrix acceleration method plays important role in electromagnetic analysis of large-scale problems. This thesis is about fast direct solution of 3-D full-wave scattering and radiation problems with H-matrix acceleration of the method of moments (MoM) for the novel surface-volume-surface electric field integral equation (SVS-EFIE) and the Locally Corrected Nystrom (LCN) method for traditional magnetic field integral equation (MFIE). Two new formulations of the SVS-EFIE are proposed. First, new SVS-EFIE formulation is developed for the scattering and radiation problems on metal-dielectric composite objects with arbitrary number of regions situated in free space. Second, new SVS-EFIE formulation is developed for scattering and radiation problems on dielectric-dielectric composite objects situated in multilayered medium. The proposed SVS-EFIE formulations introduce independent surface electric current density on the boundary of each region. Thus, in the new formulations, the scatterer regions can be meshed independently according to their local material properties. This improves the flexibility and efficiency of the proposed formulations in the analysis of both multiscale and large-scale composite structures. An H-matrix based fast direct solution strategies are proposed for acceleration of the MoM solution of the new SVS-EFIE formulations. The method is largely insensitive to the poor conditioning of the MoM matrix equation. The required theory for applying H-matrices to the new formulations as well as the construction of the block H-matrices pertinent to MoM discretization of the composite SVS-EFIE is described in detail. Numerical validation shows that the proposed methods have a wide-range of applications and generate accurate results using only the small fraction of memory and total CPU time needed by conventional MoM solution of the SVS-EFIE. Fast error-controlled direct solution of the traditional integral equations for scattering problems on metal objects with H-matrices is also pioneered in this work. The proposed strategy for acceleration of the higher-order LCN method with H-matrices exhibits O(h^p) error behavior in the fast direct solution of the scattering problems on smooth metal objects with characteristic mesh elements size h and order of solution approximation p.
Author :National Aeronautics and Space Adm Nasa Publisher :Independently Published ISBN 13 :9781729303696 Total Pages :56 pages Book Rating :4.3/5 (36 download)
Book Synopsis Analysis of Electromagnetic Scattering from Irregularly Shaped, Thin, Metallic Flat Plates by : National Aeronautics and Space Adm Nasa
Download or read book Analysis of Electromagnetic Scattering from Irregularly Shaped, Thin, Metallic Flat Plates written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-26 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes an application of the method of moments to calculate the electromagnetic scattering from irregularly shaped, thin, metallic flat plates in free space. In the present technique, an irregularly shaped plate is enclosed by a rectangle on which the surface-current density is then expressed in terms of subdomain functions by dividing the rectangle into subsections. A shape function is introduced to ensure zero current outside the patch. The surface-current density is determined using the electric field integral equation (EFIE) approach in conjunction with the method of moments, and from a knowledge of the surface-current density, the electromagnetic scattering from a plate is calculated. Using this technique, the electromagnetic scattering from a hexagonal plate; an equilateral triangular plate; an equilateral triangular plate with a concentric, equilateral triangular hole and an inverted, equilateral triangular hole; and a diamond-shaped plate is computed and compared with the numerical results obtained by using the Electromagnetic Surface Patch (ESP) code developed by Ohio State University. The numerical results compare favorably with the measurements performed on these shapes in the Langley Experimental Test Range facility. Deshpande, Manohar D. and Cockrell, C. R. and Beck, Fred B. and Vedeler, Erik and Koch, Melissa B. Langley Research Center
Book Synopsis Electromagnetic Scattering Analysis of Arbitrarily Shaped Material Cylinder by FEM-BEM Method by : M. D. Deshpande
Download or read book Electromagnetic Scattering Analysis of Arbitrarily Shaped Material Cylinder by FEM-BEM Method written by M. D. Deshpande and published by . This book was released on 1996 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hybrid method that combines the finite element method (FEM) and the boundary element method (BEM) is developed to analyze electromagnetic scattering from arbitrarily shaped material cylinders. By this method, the material cylinder is first enclosed by a fictitious boundary. Maxwell's equations are then solved by FEM inside and by BEM outside the boundary. Electromagnetic scattering from several arbitrarily shaped material cylinders is computed and compared with results obtained by other numerical techniques.
Book Synopsis Electromagnetic Scattering by Biperiodic Multilayered Gratings: A Recursive Integral Equation Approach by : Beatrice Bugert
Download or read book Electromagnetic Scattering by Biperiodic Multilayered Gratings: A Recursive Integral Equation Approach written by Beatrice Bugert and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Integral Equation Approach for Electromagnetic Scattering by Biperiodic Structures by :
Download or read book An Integral Equation Approach for Electromagnetic Scattering by Biperiodic Structures written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is the analytical investigation of an integral equation formulation for electromagnetic scattering by 2[pi]-biperiodic multilayered structures with polyhedral Lipschitz regular interfaces. Extending the combined potential ansatz from Preprint No. 1882 for the electric fields in the before mentioned electromagnetic scattering problem from single to N profile scattering yields an equivalent system of N integral equations. We present a uniqueness and two existence results for this system depending on the values of the electromagnetic material parameters of the considered biperiodic scatterer. This in particular includes the proof that the system of integral equations is of zero Fredholm index. The general case that the grating interfaces are of polyhedral Lipschitz regularity requires more strict assumptions than the special case of smooth grating interfaces. We exploit the solvability results of this work in a subsequent paper featuring a recursive integral equation algorithm for the 2[pi]-biperiodic multilayered electromagnetic scattering problem.
Book Synopsis An Integral Equation Method for Electromagnetic Scattering Problems by : Arthur K. Jordan
Download or read book An Integral Equation Method for Electromagnetic Scattering Problems written by Arthur K. Jordan and published by . This book was released on 1975 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this memorandum report is to document the analysis which was performed to obtain the matrix equation which represents the electromagnetic fields scattered from axially symmetric targets. Although these results are not new, the analysis is presented in a concise, logical manner which is suitable for computer programming and which provides the foundation for the solution of diverse transient electromagnetic scattering problems by the newer methods of natural mode representations and singularity expansion techniques. The motivation for this study was to formulate in an understandable manner the necessarily complicated and tedious electromagnetic scattering calculations. Even relatively simple targets, e.g., missiles and torpedoes, require lengthy calculations. The integral equation for electromagnetic scattering from axially symmetric targets is derived. The boundary conditions for the case of metallic (perfectly conducting) and for the case of lossy dielectric targets are applied. The integral equation is reduced to matrix form by application of the method of moments. The scattering cross section is derived. A typical target geometry (sphere-cone-sphere) is used as an example. The detailed calculations are documented for reference with future computer calculations.
Book Synopsis Electromagnetic Radiation, Scattering, and Diffraction by : Prabhakar H. Pathak
Download or read book Electromagnetic Radiation, Scattering, and Diffraction written by Prabhakar H. Pathak and published by John Wiley & Sons. This book was released on 2021-12-21 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic Radiation, Scattering, and Diffraction Discover a graduate-level text for students specializing in electromagnetic wave radiation, scattering, and diffraction for engineering applications In Electromagnetic Radiation, Scattering and Diffraction, distinguished authors Drs. Prabhakar H. Pathak and Robert J. Burkholder deliver a thorough exploration of the behavior of electromagnetic fields in radiation, scattering, and guided wave environments. The book tackles its subject from first principles and includes coverage of low and high frequencies. It stresses physical interpretations of the electromagnetic wave phenomena along with their underlying mathematics. The authors emphasize fundamental principles and provide numerous examples to illustrate the concepts contained within. Students with a limited undergraduate electromagnetic background will rapidly and systematically advance their understanding of electromagnetic wave theory until they can complete useful and important graduate-level work on electromagnetic wave problems. Electromagnetic Radiation, Scattering and Diffraction also serves as a practical companion for students trying to simulate problems with commercial EM software and trying to better interpret their results. Readers will also benefit from the breadth and depth of topics, such as: Basic equations governing all electromagnetic (EM) phenomena at macroscopic scales are presented systematically. Stationary and relativistic moving boundary conditions are developed. Waves in planar multilayered isotropic and anisotropic media are analyzed. EM theorems are introduced and applied to a variety of useful antenna problems. Modal techniques are presented for analyzing guided wave and periodic structures. Potential theory and Green's function methods are developed to treat interior and exterior EM problems. Asymptotic High Frequency methods are developed for evaluating radiation Integrals to extract ray fields. Edge and surface diffracted ray fields, as well as surface, leaky and lateral wave fields are obtained. A collective ray analysis for finite conformal antenna phased arrays is developed. EM beams are introduced and provide useful basis functions. Integral equations and their numerical solutions via the method of moments are developed. The fast multipole method is presented. Low frequency breakdown is studied. Characteristic modes are discussed. Perfect for graduate students studying electromagnetic theory, Electromagnetic Radiation, Scattering, and Diffraction is an invaluable resource for professional electromagnetic engineers and researchers working in this area.
