Experimental control of pattern formation by photonic lattices.

We study the control of modulational instability and pattern formation in a nonlinear dissipative feedback system with a periodic modulation of the material refractive index. We use a one-dimensional photonic lattice in a single-mirror feedback configuration and identify three mechanisms for pattern control: bandgap suppression of instability modes, periodicity induced pattern modes, and orientational pattern control.

[1]  Cornelia Denz,et al.  Transverse pattern formation and its control in photorefractive optics , 2004 .

[2]  T. Honda,et al.  Hexagonal pattern formation due to counterpropagation in KNbO3. , 1993, Optics letters.

[3]  Reinaldo R. Rosa,et al.  Dissipative structure and weak turbulence in the solar corona , 1997 .

[4]  M. Soljačić,et al.  Pattern formation in a cavity longer than the coherence length of the light in it. , 2002, Physical review letters.

[5]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[6]  Gian-Luca Oppo,et al.  Photonic band-gap inhibition of modulational instabilities. , 2004, Physical review letters.

[7]  U. Peschel,et al.  Discrete cavity solitons. , 2004, Optics letters.

[8]  Germano Montemezzani.  Optimization of photorefractive two-wave mixing by accounting for material anisotropies: KNbO 3 and BaTiO 3 , 2000 .

[9]  A. V. Mamaev,et al.  Manipulation of optical patterns by frequency detuning of the pump beams , 2001 .

[10]  W. Firth,et al.  Spontaneous hexagon formation in a nonlinear optical medium with feedback mirror. , 1991, Physical review letters.

[11]  C. Denz,et al.  Gradient induced motion control of drifting solitary structures in a nonlinear optical single feedback experiment. , 2008, Physical review letters.

[13]  J. Joannopoulos,et al.  Photonic crystals: putting a new twist on light , 1997, Nature.

[14]  Mordechai Segev,et al.  Discrete solitons in photorefractive optically induced photonic lattices. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Jingjun Xu,et al.  Nonlinear spectrum reshaping and gap-soliton-train trapping in optically induced photonic structures. , 2007, Physical review letters.