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Author: Yongpin Chen Publisher: Open Dissertation Press ISBN: 9781361289990 Category : Languages : en Pages :
Book Description
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
Author: Yongpin Chen Publisher: Open Dissertation Press ISBN: 9781361289990 Category : Languages : en Pages :
Book Description
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
Author: Eric T. Howe Publisher: ISBN: 9781423525530 Category : Electromagnetic waves Languages : en Pages : 80
Book Description
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.
Author: Weng Chew Publisher: Springer Nature ISBN: 3031017072 Category : Technology & Engineering Languages : en Pages : 241
Book Description
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
Author: Farhad Sheikh Hosseini Lori Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
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).
Author: Zhiguo Qian Publisher: ISBN: 9781109219807 Category : Languages : en Pages : 222
Book Description
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.
Author: National Aeronautics and Space Adm Nasa Publisher: Independently Published ISBN: 9781729303696 Category : Languages : en Pages : 56
Book Description
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
Author: Yongpin Chen
Author: Yongpin Chen
Author: Yongpin Chen
Author: A. B. Samokhin
Author: Eric T. Howe
Author: Weng Chew
Author: Benjamin Beker
Author: Farhad Sheikh Hosseini Lori
Author: Pasi Ylä-Oijala
Author: Zhiguo Qian
Author: National Aeronautics and Space Adm Nasa