Advances in Theory of Photonic Crystals

In this paper, the authors review some of the recent advances in the theory of photonic crystals, drawing examples from their own work in magnetooptical and dynamic photonic crystals. The combination of theory and simulations shows that these crystal structures exhibit rich optical physics effects and can provide new ways to accomplish sophisticated optical information-processing tasks

[1]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[2]  B. Temelkuran,et al.  Tight-binding description of the coupled defect modes in three-dimensional photonic crystals , 2000, Physical review letters.

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

[4]  Zheng Wang,et al.  Magneto-optical defects in two-dimensional photonic crystals , 2005 .

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

[6]  A. Zvezdin,et al.  Modern magnetooptics and magnetooptical materials , 1997 .

[7]  J. Joannopoulos,et al.  Temporal coupled-mode theory for the Fano resonance in optical resonators. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  M. Lukin,et al.  Storage of light in atomic vapor. , 2000, Physical Review Letters.

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

[10]  Shanhui Fan,et al.  Dynamically-tuned coupled-resonator delay lines can be nearly dispersion free , 2006, SPIE OPTO.

[11]  Nikolaos Stefanou,et al.  Impurity bands in photonic insulators , 1998 .

[12]  A. Matsko,et al.  Tunable delay line with interacting whispering-gallery-mode resonators. , 2004, Optics letters.

[13]  Evan J. Reed,et al.  Color of Shock Waves in Photonic Crystals , 2003 .

[14]  Shanhui Fan,et al.  Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities , 2004 .

[15]  Shanhui Fan,et al.  Time reversal of light with linear optics and modulators. , 2004, Physical review letters.

[16]  Ken Ichi Arai,et al.  Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator , 2000 .

[17]  Shanhui Fan,et al.  THEORETICAL ANALYSIS OF CHANNEL DROP TUNNELING PROCESSES , 1999 .

[18]  Horst Dötsch,et al.  Magneto-optical nonreciprocal phase shift in garnet/silicon-on-insulator waveguides. , 2004, Optics letters.

[19]  Shanhui Fan,et al.  Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency. , 2004, Physical review letters.

[20]  Shanhui Fan,et al.  Channel Drop Tunneling through Localized States , 1998 .

[21]  Shanhui Fan,et al.  Dynamic Photonic Structures: Stopping, Storage, and Time Reversal of Light , 2005 .

[22]  Z. Dutton,et al.  Observation of coherent optical information storage in an atomic medium using halted light pulses , 2001, Nature.

[23]  J. Joannopoulos,et al.  High Transmission through Sharp Bends in Photonic Crystal Waveguides. , 1996, Physical review letters.

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

[25]  S. Harris,et al.  Electromagnetically Induced Transparency , 1991, QELS '97., Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference.

[26]  Synthesis of ferrite on SiO2 spheres for three-dimensional magneto-photonic crystals , 2004 .

[27]  M. Inoue,et al.  Preparation of two-dimensional magneto-photonic crystals of bismus substitute yttrium iron garnet materials , 2004 .

[28]  S. Mondal,et al.  Novel designs for integrating YIG/air photonic Crystal slab polarizers with waveguide Faraday rotators , 2005, IEEE Photonics Technology Letters.

[29]  R. E. Slusher,et al.  Optical delay lines based on optical filters , 2001 .

[30]  Masanori Koshiba,et al.  Three-dimensional finite element analysis of nonreciprocal phase shifts in magneto-photonic crystal waveguides. , 2005, Optics express.

[31]  Shanhui Fan,et al.  Stopping light all optically. , 2004, Physical review letters.

[32]  V. Belotelov,et al.  Magnetooptical properties of two dimensional photonic crystals , 2004 .

[33]  A. Figotin,et al.  Nonreciprocal magnetic photonic crystals. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Demetri Psaltis,et al.  Coherent Optical Information Systems , 2002, Science.

[35]  Y. Tsuji,et al.  A novel finite-element method for nonreciprocal magneto-photonic crystal waveguides , 2004, Journal of Lightwave Technology.

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

[37]  Shanhui Fan,et al.  Compact all-pass filters in photonic crystals as the building block for high-capacity optical delay lines. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[39]  Qianfan Xu,et al.  Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency , 2006, 2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference.

[40]  Steven G. Johnson,et al.  Photonic Crystals: The Road from Theory to Practice , 2001 .

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

[42]  R.M. Osgood,et al.  High transmission enhanced Faraday rotation in one-dimensional photonic crystals with defects , 2000, IEEE Photonics Technology Letters.

[43]  Ari T. Friberg,et al.  Faraday rotation in two-dimensional magneto-optic photonic crystal , 2005 .

[44]  Alexander Figotin,et al.  Electromagnetic unidirectionality in magnetic photonic crystals , 2003 .

[45]  Miguel Levy,et al.  The on-chip integration of magnetooptic waveguide isolators , 2002 .

[46]  E. Petrov,et al.  Faraday effect of photonic crystals , 2003 .

[47]  Zheng Wang,et al.  Optical circulators in two-dimensional magneto-optical photonic crystals. , 2005 .

[48]  Rong Li,et al.  Bragg grating magnetic photonic crystal waveguides , 2005 .

[49]  Shanhui Fan,et al.  Stopping and storing light coherently , 2005 .

[50]  M. Koshiba,et al.  General finite-element modeling of 2-D magnetophotonic crystal waveguides , 2005, IEEE Photonics Technology Letters.

[51]  A. Scherer,et al.  Coupled-resonator optical waveguide: a proposal and analysis. , 1999, Optics letters.

[52]  Tetsuya Mizumoto,et al.  Interferometric optical isolator employing a nonreciprocal phase shift operated in a unidirectional magnetic field. , 2004, Applied optics.

[53]  U. Fano Effects of Configuration Interaction on Intensities and Phase Shifts , 1961 .

[54]  Shanhui Fan,et al.  Sharp asymmetric line shapes in side-coupled waveguide-cavity systems , 2002 .

[55]  D. Larkman,et al.  Photonic crystals , 1999, International Conference on Transparent Optical Networks (Cat. No. 99EX350).

[56]  Ken Ichi Arai,et al.  One-dimensional magnetophotonic crystals , 1999 .

[57]  Steven G. Johnson,et al.  Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis. , 2001, Optics express.