Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Frequently Asked Questions
Frequently Asked Questions
Browse
Browse
By Issue Date
By Issue Date
Authors
Authors
Titles
Titles
Subjects
Subjects
Communities & Collections
Communities & Collections
Novel strategies for second-kind integral equations to analyze perfect electric conductors
Download
index.pdf
Date
2019
Author
Güler, Sadri
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
5
views
0
downloads
In this thesis, the magnetic-field integral equation (MFIE) for three-dimensional perfectly conducting objects is studied with a particular focus on the solutions of the formulation with the method of moments employing low-order discretization elements. Possible discretization functions and their applications in the testing of MFIE while considering different numbers of testing points are analyzed for accurate and efficient solutions. Successful results are obtained by using rotational Buffa-Christiansen testing functions when the electric current density is expanded with Rao-Wilton-Glisson functions. The same mixed discretization scheme is also employed in the context of the combined-field integral equation (CFIE). In order to successfully handle internal resonances in the mixed-discretized CFIE, projection of testing spaces of EFIE and MFIE via Gram matrices is required. Inversion of Gram matrices is discussed in terms of computational requirements in the context of large-scale problems analyzed with the multilevel fast multipole algorithm (MLFMA). Finally, a novel MFIE implementation with double-layer modeling is presented to mitigate internal resonances without resorting to CFIE. Accuracy of the proposed formulation is improved via inner-layer selection, post-processing, and accurate discretization techniques. All discussions are presented and supported via numerical results involving canonical objects.
Subject Keywords
Integral equations.
,
Keywords: Surface Integral Equations
,
Magnetic-Field Integral Equation
,
Discretization of Integral Equations
,
Matrix Decomposition Methods
,
Gram Matrix
,
Internal Resonance Problem.
URI
http://etd.lib.metu.edu.tr/upload/12624615/index.pdf
https://hdl.handle.net/11511/44538
Collections
Graduate School of Natural and Applied Sciences, Thesis