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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Menshov, Anton Yang, Kai Okhmatovski, Vladimir Yilmaz, Ali |
| Copyright Year | 2015 |
| Description | Author affiliation: University of Manitoba, Winnipeg, R3T 5V6, Canada (Okhmatovski, Vladimir) || University of Texas at Austin, 78712, USA (Menshov, Anton; Yang, Kai; Yilmaz, Ali) |
| Abstract | Frequency-domain mixed-potential integral-equations are commonly used for analyzing scattering from structures residing in layered backgrounds (K. A. Michalski and D. Zheng, IEEE TAP, 38(3), 335–344, 1990). Their traditional direct method-of-moments solution based on LU-decomposition is limited to small problems, however, because it requires $O(N^{2})$ operations to fill the N × N dense impedance matrix (with a large constant in front of the complexity estimate because of the high cost of computing Sommerfeld integrals), $O(N^{3})$ operations to factorize the impedance matrix, and $O(NN^{2})$ operations to find the solution for Nrhs different excitations. Moreover, modern fast iterative algorithms that enabled the solution of extreme problems for homogeneous backgrounds are often inapplicable, inefficient, or must be modified significantly (K. Yang and A. E. Yılmaz, CEM Int. Workshop, 2013) for layered backgrounds because of the more complicated Green functions. In this article, a fast direct solver based on the hierarchical matrix (ℋ-matrix) framework (W. Hackbusch, Computing, 62, 89–108, 1999) is used to accelerate the analysis of scattering from structures residing in layered media. |
| Starting Page | 142 |
| Ending Page | 142 |
| File Size | 114774 |
| Page Count | 1 |
| File Format | |
| ISBN | 9781479978175 |
| DOI | 10.1109/USNC-URSI.2015.7303426 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-07-19 |
| Publisher Place | Canada |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Content Type | Text |
| Resource Type | Article |
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