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 PDF

Author: Eric T. Howe

Publisher:

Published: 2001-09-01

Total Pages: 80

ISBN-13: 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.

Maxwell’s Equations in Periodic Structures

Maxwell’s Equations in Periodic Structures PDF

Author: Gang Bao

Publisher: Springer Nature

Published: 2021-11-22

Total Pages: 361

ISBN-13: 9811600619

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This book addresses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell’s equations in periodic structures. The fundamental importance of the fields is clear, since they are related to technology with significant applications in optics and electromagnetics. The book provides both introductory materials and in-depth discussion to the areas in diffractive optics that offer rich and challenging mathematical problems. It is also intended to convey up-to-date results to students and researchers in applied and computational mathematics, and engineering disciplines as well.

Electromagnetic Scattering Analysis of a Three-Dimensional-Cavity-Backed Aperture in an Infinite Ground Plane Using a Combined Finite Element Method/Method of Moments Approach

Electromagnetic Scattering Analysis of a Three-Dimensional-Cavity-Backed Aperture in an Infinite Ground Plane Using a Combined Finite Element Method/Method of Moments Approach PDF

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-08-20

Total Pages: 24

ISBN-13: 9781722199579

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A combined finite element method/method of moments (FEM/MoM) approach is used to analyze the electromagnetic scattering properties of a three-dimensional-cavity-backed aperture in an infinite ground plane. The FEM is used to formulate the fields inside the cavity, and the MoM (with subdomain bases) in both spectral and spatial domains is used to formulate the fields above the ground plane. Fields in the aperture and the cavity are solved using a system of equations resulting from the combination of the FEM and the MoM. By virtue of the FEM, this combined approach is applicable to all arbitrarily shaped cavities with inhomogeneous material fillings, and because of the subdomain bases used in the MoM, the apertures can be of any arbitrary shape. This approach leads to a partly sparse and partly full symmetric matrix, which is efficiently solved using a biconjugate gradient algorithm. Numerical results are presented to validate the analysis. Reddy, C. J. and Deshpande, Manohar D. and Cockrell, C. R. and Beck, F. B. Langley Research Center RTOP 505-64-70-01...

Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation

Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation PDF

Author: Alfredo Berm?dez

Publisher: SIAM

Published: 2000-01-01

Total Pages: 1062

ISBN-13: 9780898714708

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This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.

The Finite Element Method in Electromagnetics

The Finite Element Method in Electromagnetics PDF

Author: Jian-Ming Jin

Publisher: John Wiley & Sons

Published: 2015-02-18

Total Pages: 728

ISBN-13: 1118842022

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A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.

Integral Equation Methods in Scattering Theory

Integral Equation Methods in Scattering Theory PDF

Author: David Colton

Publisher: SIAM

Published: 2013-11-15

Total Pages: 286

ISBN-13: 1611973163

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This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

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