The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal

The authors theoretically and numerically investigate the beam propagation near the supercollimation frequency ωs0 in a photonic crystal made of nonlinear material. Since the value and sign of the equal-frequency-contour curvature which dominates the beam behaviors can be nonlinearly tuned near ωs0, a kind of nonlinear effect is generated. The envelope equation with unique form is also obtained. Beam-control mechanisms are theoretically predicted and observed in numerical experiments, such as tunable collimation, tunable beam-divergence angle, and self-lock of collimation. These mechanisms can be utilized to function as fiber, lens and coupler, or to design photonic devices.

[1]  Dennis W Prather,et al.  Experimental demonstration of self-collimation inside a three-dimensional photonic crystal. , 2006, Physical review letters.

[2]  Peter T. Rakich,et al.  Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal , 2006, Nature materials.

[3]  Y. Omura,et al.  Study on self-collimated light-focusing device using the 2-D photonic crystal with a parallelogram lattice , 2005, Journal of Lightwave Technology.

[4]  Hae Yong Park,et al.  Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals , 2005 .

[5]  Shanhui Fan,et al.  Conditions for self-collimation in three-dimensional photonic crystals. , 2005, Optics letters.

[6]  Xiangdong Zhang.  Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave , 2005 .

[7]  Zhitang Song,et al.  Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals , 2004 .

[8]  Shouyuan Shi,et al.  Analysis of splitters for self-collimated beams in planar photonic crystals. , 2004, Optics express.

[9]  Shanhui Fan,et al.  Bends and splitters for self-collimated beams in photonic crystals , 2003 .

[10]  Jeremy Witzens,et al.  Efficient excitation of self-collimated beams and single Bloch modes in planar photonic crystals. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  Shanhui Fan,et al.  Nonlinear photonic crystal microdevices for optical integration. , 2003, Optics letters.

[12]  Costas M. Soukoulis,et al.  Photonic Crystals and Light Localization in the 21st Century , 2001 .

[13]  Y. Kivshar,et al.  Self-trapping and stable localized modes in nonlinear photonic crystals. , 2001, Physical review letters.

[14]  Masaya Notomi,et al.  Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap , 2000 .

[15]  F. Ramos-Mendieta,et al.  Tunable photonic crystals with semiconducting constituents , 2000, Conference Digest. 2000 Conference on Lasers and Electro-Optics Europe (Cat. No.00TH8505).

[16]  Ross,et al.  Hexagonally poled lithium niobate: A two-dimensional nonlinear photonic crystal , 2000, Physical review letters.

[17]  B. Cheng,et al.  Enlarging a photonic band gap by using insertion , 2000 .

[18]  Kurt Busch,et al.  Liquid-Crystal Photonic-Band-Gap Materials: The Tunable Electromagnetic Vacuum , 1999 .

[19]  Masaya Notomi,et al.  Self-collimating phenomena in photonic crystals , 1999 .

[20]  V. Berger,et al.  Nonlinear Photonic Crystals , 1998 .

[21]  Steven G. Johnson,et al.  Photonic Crystals: Molding the Flow of Light , 1995 .

[22]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[23]  E. Yablonovitch,et al.  Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.