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Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals

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5 Author(s)
Neve-Oz, Yair ; The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel ; Pollok, Therese ; Burger, S. ; Golosovsky, Michael
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We present numerical simulations of electromagnetic millimeter-wave propagation in a two-dimensional lattice of dielectric rods arranged in a tenfold Penrose tiling. We find (i) isotropic photonic band gap as expected for quasicrystals and (ii) localized states. We demonstrate that the high frequency edge of the second band gap is characterized by a very small refractive index (fast light). We study the transmission of electromagnetic waves in the frequency range corresponding to fast light and demonstrate that it is related to tunneling through localized states. We use the fast light phenomenon to design a focusing device—a planoconcave lens.

Published in:

Journal of Applied Physics  (Volume:107 ,  Issue: 6 )

Date of Publication:

Mar 2010

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