SPARSE FACTORIZATION OF THE TMZ IMPEDANCE MATRIX IN AN OVERLAPPED LOCALIZING BASIS
| Autor: | Aiming Zhu, R.J. Adams, F.X. Canning |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Physics
Radiation Basis (linear algebra) business.industry Scattering Rectangular array Pattern recognition Condensed Matter Physics Impedance parameters Integral equation Factorization Artificial intelligence Electrical and Electronic Engineering Representation (mathematics) business Algorithm Scaling |
| Zdroj: | Progress In Electromagnetics Research. 61:291-322 |
| ISSN: | 1559-8985 |
| DOI: | 10.2528/pier06022402 |
| Popis: | It has been observed that localized solution modes provide sparse factored representations of the discrete integral equations encountered in the simulation of electromagnetic phenomena at low frequencies. This paper extends these results by incorporating overlapped localizing modes. For TMz scattering from a rectangular array of perfectly conducting obstacles, it is observed that the complexity scaling of the resulting factorization is significantly reduced relative to previously reported results. The memory complexity of the resulting factored representation scales approximately as O(N) for electrically small arrays. Limitations and possible extensions of these results are discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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