Abstract
In this paper we present a structure-preserving model-order reduction technique to efficiently compute electromagnetic wave fields on unbounded domains. As an approximation space, we take the span of the real and imaginary parts of frequency-domain solutions of Maxwell's equations. Reduced-order models for the electromagnetic field belong to this space and the expansion coefficients of these models are determined from a Galerkin condition. We show that the models constructed in this manner are structure-preserving and interpolate the electromagnetic field responses at the expansion frequencies. Moreover, for monostatic field responses (coinciding sources and receivers), the first-order derivative of a reduced-order model with respect to frequency interpolates this first-order derivative of the unreduced monostatic field response as well. A two-dimensional numerical example illustrates the performance of the proposed reduction method.
Original language | English |
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Title of host publication | Proceedings of the 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA '17) |
Place of Publication | Piscataway, NJ |
Publisher | IEEE |
Pages | 385-388 |
Number of pages | 4 |
ISBN (Electronic) | 978-1-5090-4451-1 |
DOIs | |
Publication status | Published - 2017 |
Event | ICEAA 2017: 19th International Conference on Electromagnetics in Advanced Applications - Verona, Italy Duration: 11 Sept 2017 → 15 Sept 2017 Conference number: 19 |
Conference
Conference | ICEAA 2017 |
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Abbreviated title | ICEAA '17 |
Country/Territory | Italy |
City | Verona |
Period | 11/09/17 → 15/09/17 |
Keywords
- Reduced order systems
- Mathematical model
- Electromagnetics
- Maxwell equations
- Receivers
- Computational modeling
- Electromagnetic scattering