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Metamaterial structures for (a) aperiodic unit cell and (b) periodic unit cell.
(a) Photonic band structure of the aperiodic configuration using effective parameters (blue line) and using rigorous photonic band structure calculation (blue dots). (b) Comparison of effective permeability for the aperiodic structure (blue) and for a periodic structure with wire spacing 11 nm (black) and 11.4 nm (green). The inset shows the effective permeability for a single unit cell of the aperiodic structure. Solid(-) and dashed(--) lines represent the real and imaginary parts of the effective permeability, respectively.
Magnetic field distributions and electric field vector plots for the aperiodic and periodic structures at their respective resonance frequencies (fresonance). The color map represents the relative strength of the magnetic fields. (a), (c), and (e) represent the original, best case (perturbed structure that yields lowest μ′), and worst case (perturbed structure that yields highest μ′) designs for the periodic structure whereas (b), (d), and (f) represent the corresponding designs for the aperiodic structure.
Sensitivity analysis. The plots show the effective permeability at the resonance frequency after perturbation of (a) the structure with the aperiodic unit cell and (b) the structure with the periodic unit cell (wire spacing is 11 nm).
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