A Broadband Electromagnetic Solver Based on Multiscale MLFMA and Hybrid Integral Equations

Date

2018-11-02

Author

Karaosmanoglu, Bariscan
Tonga, Muhammed
Ergül, Özgür Salih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

181
views

0
downloads

We present a fully broadband solver for fast and accurate solutions of multiscale electromagnetic problems involving both coarse and fine details. The implementation is based on a multiscale multilevel fast multipole algorithm that employs low-frequency and high-frequency expansions at suitable levels of incomplete tree structures. In addition, hybrid integral equations are used to properly formulate scattering and radiation problems in the frequency domain. Numerical results demonstrate the superior accuracy, efficiency, and stability of the implementation when solving challenging problems that cannot be handled via traditional methods.

Subject Keywords

Multiscale Problems, Broadband Solvers, Surface Integral Equations, Multilevel Fast Multipole Algorithm

URI

https://hdl.handle.net/11511/55740

Conference Name

18th Mediterranean Microwave Symposium (MMS)

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

A Broadband Multilevel Fast Multipole Algorithm with Incomplete-Leaf Tree Structures for Multiscale Electromagnetic Problems Takrimi, Manouchehr; Ergül, Özgür Salih; Erturk, Vakur B. (2016-04-15) An efficient, broadband, and accurate multilevel fast multipole algorithm (MLFMA) is proposed to solve a wide range of multiscale electromagnetic problems with orders of magnitude differences in the mesh sizes. Given a maximum RWG population threshold, only overcrowded boxes are recursively bisected into smaller ones, which leads to novel incomplete-leaf tree structures. Simulations reveal that, for surface discretizations possessing highly overmeshed local regions, the proposed method presents a more effic...
A Novel Broadband Multilevel Fast Multipole Algorithm With Incomplete-Leaf Tree Structures for Multiscale Electromagnetic Problems Takrimi, Manouchehr; Ergül, Özgür Salih; Erturk, Vakur B. (2016-06-01) An efficient and versatile broadband multilevel fast multipole algorithm (MLFMA), which is capable of handling large multiscale electromagnetic problems with a wide dynamic range of mesh sizes, is presented. By invoking a novel concept of incomplete-leaf tree structures, where only the overcrowded boxes are divided into smaller ones for a given population threshold, versatility of using variable-sized boxes is achieved. Consequently, for geometries containing highly overmeshed local regions, the proposed me...
A Novel Combined Potential-Field Formulation for Densely Discretized Perfectly Conducting Objects Eris, Ozgur; Karaova, Gokhan; Ergül, Özgür Salih (2022-01-01) IEEEWe present a novel surface-integral-equation formulation that provides broadband solutions of electromagnetic problems involving perfectly conducting objects. The formulation, namely the combined potential-field formulation (CPFF), is based on a well-balanced combination of the conventional potential integral equations, the magnetic-field integral equation, and an additional potential integral equation involving magnetic vector potential. In addition to being stable for dense discretizations, CPFF is fr...
A Comparative Study of Surface Integral Equations for Accurate and Efficient Analysis of Plasmonic Structures Karaosmanoglu, Bariscan; Yilmaz, Akif; Ergül, Özgür Salih (2017-06-01) Surface integral equations, which are commonly used in electromagnetic simulations, have recently been applied to various plasmonic problems, while there is still no complete agreement on which formulations provide accurate and efficient solutions. In this paper, we present the strong material dependences of the conventional formulations, revealing their contradictory performances for different problems. We further explain the numerical problems in the constructed matrix equations, shedding light on the des...
Fast and accurate solutions of electromagnetics problems involving lossy dielectric objects with the multilevel fast multipole algorithm Ergül, Özgür Salih (2012-03-01) Fast and accurate solutions of electromagnetic scattering problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCFIE), and solved iteratively using the multilevel fast multipole algorithm (MLFMA). Iterative solutions and accuracy of the results are investigated in detail for diverse geometries, frequencies, and con...

Citation Formats

B. Karaosmanoglu, M. Tonga, and Ö. S. Ergül, “A Broadband Electromagnetic Solver Based on Multiscale MLFMA and Hybrid Integral Equations,” presented at the 18th Mediterranean Microwave Symposium (MMS), Istanbul, TURKEY, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55740.