J. Xu and A. W. Hübler 2008 EPL 81 16002 doi:10.1209/0295-5075/81/16002
J. Xu and A. W. Hübler
Show affiliationsWe study interference patterns of double-diffraction systems with quasiperiodic structures. A quasiperiodic linear array of scatterers converts single delta pulses into a sequence of quasiperiodic pulses. This pulse train is diffracted from a second set of scatterers. We find that the interference pattern after the second diffraction has a pronounced peak if both sets of scatterers have similar quasiperiodic structures. We show that this method can be used for identifying the Fibonacci chain and related quasiperiodic sequences, if the number of scatterers in the first set is at least twice as large as the number of scatterers in the second set, and if the distances among the two sets of scatterers and the detector are all large compared to the size of the sets. This method may provide a methodology for identifying the structure of quasicrystals and quasiperiodic layered materials with a large signal-to-noise ratio.
Issue 1 (January 2008)
Received 27 May 2007, accepted for publication 2 November 2007
Published 29 November 2007
J. Xu and A. W. Hübler 2008 EPL 81 16002
Jon A. Morse et al 2001 ApJ 548 L207
Laurent Loinard et al 2005 ApJ 619 L179
Ricardo L. C. Ogando et al. 2008 The Astronomical Journal 135 2424
R. R. Cordeiro et al. 1999 The Astronomical Journal 117 1634
D. Houtman et al 2007 EPL 78 18001
E. S. Kite et al. 2009 ApJ 700 1732
E A Parson 2008 Environ. Res. Lett. 3 045016
Paula Stice and Jit Muthuswamy 2009 J. Neural Eng. 6 046004
Song Cao and Shi-Jie Chen 2008 Phys. Biol. 5 016002