Tuning the longitudinal dispersion and angular dispersion of photonic crystals

In this paper, we review some of our works on tuning the slow-light effect and superprism effect in photonic crystals from a synergistic perspective. The dispersive effects in a generic photonic crystal structure are classified into the longitudinal dispersion and angular dispersion according to their orientations with respect to the direction of light propagation. The slow-light effect originates from the longitudinal dispersion whereas the superprism effect originates primarily from the angular dispersion. The ability to tune these two categories of dispersive effects leads to several interesting topics of photonic crystal research, including slow-light photonic crystal modulators and superprism demultiplexers and sensors. We will discuss commonality and difference between the tunings of these two effects.

[1]  F.X. Kaertner,et al.  High-speed silicon electro-optical modulator that can be operated in carrier depletion or carrier injection mode , 2008, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[2]  Maria-Pilar Bernal,et al.  Electro-optic effect exaltation on lithium niobate photonic crystals due to slow photons , 2006 .

[3]  Wei Jiang,et al.  Theoretical Study of Light Refraction in Three-Dimensional Photonic Crystals , 2007, Journal of Lightwave Technology.

[4]  Wei Jiang,et al.  Thermooptically Tuned Photonic Crystal Waveguide Silicon-on-Insulator Mach–Zehnder Interferometers , 2007, IEEE Photonics Technology Letters.

[5]  Ray T. Chen,et al.  Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  M. Notomi,et al.  Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs. , 2001, Physical review letters.

[7]  Daniel M. Mittleman,et al.  Superprism phenomenon in three-dimensional macroporous polymer photonic crystals , 2003 .

[8]  R. Soref,et al.  Electrooptical effects in silicon , 1987 .

[9]  Ray T. Chen,et al.  Symmetry-induced singularities of the dispersion surface curvature and high sensitivities of a photonic crystal , 2008 .

[10]  Edilson Camargo,et al.  2D Photonic crystal thermo-optic switch based on AlGaAs/GaAs epitaxial structure. , 2004, Optics express.

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

[12]  J Fedeli,et al.  Experimental evidence for superprism phenomena in SOI photonic crystals. , 2004, Optics express.

[13]  Mayank Bahl,et al.  Optically tunable superprism effect in nonlinear photonic crystals. , 2003, Optics letters.

[14]  Wei Jiang,et al.  Multichannel optical add-drop processes in symmetrical waveguide-resonator systems. , 2003, Physical review letters.

[15]  H. Hamann,et al.  Active control of slow light on a chip with photonic crystal waveguides , 2005, Nature.

[16]  Two mechanisms, three stages of the localization of light in a disordered dielectric structure with photonic band gaps , 1999 .

[17]  T. Krauss,et al.  Real-space observation of ultraslow light in photonic crystal waveguides. , 2005, Physical review letters.

[18]  Ali Adibi,et al.  Compact wavelength demultiplexing using focusing negative index photonic crystal superprisms. , 2006, Optics express.

[19]  Sharon M. Weiss,et al.  Temperature stability for silicon-based photonic band-gap structures , 2003 .

[20]  T. Krauss,et al.  Superprism phenomena in planar photonic crystals , 2002 .

[21]  Wei Jiang,et al.  Photonic crystal waveguide modulators for silicon photonics: Device physics and some recent progress , 2007 .

[22]  M. Povinelli,et al.  Photonic Crystals: Physics, Fabrication, and Devices , 2008 .

[23]  Wei Jiang,et al.  High speed silicon photonic crystal waveguide modulator for low voltage operation , 2007 .

[24]  L. Sekaric,et al.  Ultra-compact, low RF power, 10 Gb/s silicon Mach-Zehnder modulator. , 2007, Optics express.

[25]  Kazuaki Sakoda,et al.  Optical Properties of Photonic Crystals , 2001 .

[26]  Yurii A Vlasov,et al.  Coupling into the slow light mode in slab-type photonic crystal waveguides. , 2006, Optics letters.

[27]  T. Krauss,et al.  Ultracompact and low-power optical switch based on silicon photonic crystals. , 2008, Optics letters.

[28]  Wei Jiang,et al.  Fabrication of polymer photonic crystal superprism structures using polydimethylsiloxane soft molds , 2007 .

[29]  M. Soljačić,et al.  Coupling, scattering, and perturbation theory: Semi-analytical analyses of photonic-crystal waveguides , 2003, Proceedings of 2003 5th International Conference on Transparent Optical Networks, 2003..

[30]  Steven G. Johnson,et al.  Photonic-crystal slow-light enhancement of nonlinear phase sensitivity , 2002 .

[31]  Ray T. Chen,et al.  Theory of light refraction at the surface of a photonic crystal , 2005 .

[32]  Masaya Notomi,et al.  Superprism phenomena in photonic crystals: toward microscale lightwave circuits , 1999 .