Abstract
Recently published methods for the quasi-static limit of the Helmholtz equation is extended to consider near cloaking for the full Maxwell equations. Effective near cloaking structures are described for the electromagnetic scattering problem at a fixed frequency. These structures are, prior to using the transformation optics, layered structures designed so that their first scattering coefficients vanish. As a result, any target inside the cloaking region has near-zero scattering cross section for a band of frequencies. Analytical results show that this construction significantly enhances the cloaking effect for the full Maxwell equations.
Original language | English |
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Pages (from-to) | 2055-2076 |
Number of pages | 22 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 73 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2013 |
Externally published | Yes |
Keywords
- Cloaking
- Maxwell equations
- Scattering amplitude
- Scattering coefficients
- Transformation optics
ASJC Scopus subject areas
- Applied Mathematics