Wave and defect dynamics in nonlinear photonic quasicrystals.

Abstract:

:Quasicrystals are unique structures with long-range order but no periodicity. Their properties have intrigued scientists ever since their discovery and initial theoretical analysis. The lack of periodicity excludes the possibility of describing quasicrystal structures with well-established analytical tools, including common notions like Brillouin zones and Bloch's theorem. New and unique features such as fractal-like band structures and 'phason' degrees of freedom are introduced. In general, it is very difficult to directly observe the evolution of electronic waves in solid-state atomic quasicrystals, or the dynamics of the structure itself. Here we use optical induction to create two-dimensional photonic quasicrystals, whose macroscopic nature allows us to explore wave transport phenomena. We demonstrate that light launched at different quasicrystal sites travels through the lattice in a way equivalent to quantum tunnelling of electrons in a quasiperiodic potential. At high intensity, lattice solitons are formed. Finally, we directly observe dislocation dynamics when crystal sites are allowed to interact with each other. Our experimental results apply not only to photonics, but also to other quasiperiodic systems such as matter waves in quasiperiodic traps, generic pattern-forming systems as in parametrically excited surface waves, liquid quasicrystals, and the more familiar atomic quasicrystals.

journal_name

Nature

journal_title

Nature

authors

Freedman B,Bartal G,Segev M,Lifshitz R,Christodoulides DN,Fleischer JW

doi

10.1038/nature04722

subject

Has Abstract

pub_date

2006-04-27 00:00:00

pages

1166-9

issue

7088

eissn

0028-0836

issn

1476-4687

pii

nature04722

journal_volume

440

pub_type

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