Abstract

We have investigated the directionality in the reflection and transmission spectra ofPenrose-type photonic quasicrystals. In the frequency interval considered, there aretwo omnidirectional stopbands. It is found that for the low-frequency stopbandlight is reflected ballistically, while for the higher-frequency band reflected lightis scattered with a change in wavevector equal to one of the reciprocal latticevectors associated with the first stopband. The relationship between the intensitiesof the ballistic and the scattered reflected and transmitted light suggests thattwo-dimensional quasicrystals possess an omnidirectional photonic bandgap for theE and H polarizations.

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