Enhanced microwave transmission through quasicrystal hole arrays
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(Color online) (a) Quasiperiodic hole array drilled in a copper film deposited on a dielectric substrate. The basic units of the quasicrystal are two rhombi with side length (inset). (b) Fourier transform of the quasiperiodic pattern normalized to . The three strongest Fourier maxima (, , and ) are contained in the corresponding green rings.
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(Color online) Normal incidence transmission spectra through quasicrystal hole arrays on (a) a self-standing Al film, (b) a copper film supported by a dielectric substrate, and (c) a copper film sandwiched between two identical dielectric slabs. The Bethe prediction is shown by the dashed purple line in (a), while the green lines in (b) and (c) mark the wavelength positions of invisible metal states, where high transmission is accompanied by zero phase change. Experimental results (solid curves) are compared with theoretical calculations obtained in the coherent-phase approximation [Eqs. (2) and (3)] (dashed curves) (Ref. 19). The latter are normalized to match the maximum of the corresponding experimental curves. The solution of the full dipole representation of Eq. (1) is also offered in (a) (gray dotted curve). Experimental results include both transmittance (blue soild curves, vertical left scale) and phase change after transmission (red solid curves, vertical right scale in degrees).
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