Dispersion engineering with leaky-mode resonant photonic lattices.

We investigate the dispersion properties of leaky-mode resonance elements with emphasis on slow-light applications. Using particle swarm optimization, we design three exemplary bandpass leaky-mode devices. A single-layer silicon-on-insulator leaky-mode element shows a time-delay peak of ~8 ps at the resonance wavelength. A double membrane element exhibits an average delay of ~6 ps over ~0.75 nm spectral bandwidth with a relatively flat dispersion response. By cascading five double-membrane elements, we achieve an accumulative delay of ~30 ps with a very flat dispersion response over ~0.5 nm bandwidth. Thus, we show that delay elements based on leaky-mode resonance, by proper design, exhibit large amount of delay yet very flat dispersion over appreciable spectral bandwidths, making them potential candidates for optical buffers, delay lines, and switches.

[1]  M.A. Cappuzzo,et al.  Integrated resonance-enhanced variable optical delay lines , 2005, IEEE Photonics Technology Letters.

[2]  P. Vincent,et al.  Corrugated dielectric waveguides: A numerical study of the second-order stop bands , 1979 .

[3]  Evgeny Popov,et al.  Zero order anomaly of dielectric coated gratings , 1985 .

[4]  G. Lenz,et al.  Optical all-pass filters for phase response design with applications for dispersion compensation , 1998, IEEE Photonics Technology Letters.

[5]  Daniel Maystre,et al.  Theoretical Study of the Anomalies of Coated Dielectric Gratings , 1986 .

[6]  Thomas K. Gaylord,et al.  Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach , 1995 .

[7]  M.A. Cappuzzo,et al.  Integrated all-pass filters for tunable dispersion and dispersion slope compensation , 1999, IEEE Photonics Technology Letters.

[8]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[9]  Robert Magnusson,et al.  Particle swarm optimization and its application to the design of diffraction grating filters. , 2007, Optics letters.

[10]  Christi K. Madsen,et al.  General optical all-pass filter structures for dispersion control in WDM systems , 1999 .

[11]  Jari Turunen,et al.  Pulse deformations at guided-mode resonance filters. , 2002, Optics express.

[12]  Y Fainman,et al.  Ultrashort pulse propagation in near-field periodic diffractive structures by use of rigorous coupled-wave analysis. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Masaya Notomi,et al.  Large-scale arrays of ultrahigh-Q coupled nanocavities , 2008 .

[14]  T. Gaylord,et al.  Analysis and applications of optical diffraction by gratings , 1985, Proceedings of the IEEE.

[15]  S. S. Wang,et al.  Theory and applications of guided-mode resonance filters. , 1993, Applied optics.

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

[17]  R. Magnusson,et al.  Wideband leaky-mode resonance reflectors: influence of grating profile and sublayers. , 2008, Optics express.

[18]  F. Xia,et al.  Ultracompact optical buffers on a silicon chip , 2007 .

[19]  Ivan Avrutsky,et al.  Reflection of a beam of finite size from a corrugated waveguide , 1989 .

[20]  R. Magnusson,et al.  New principle for optical filters , 1992 .

[21]  Vladimir A. Sychugov,et al.  LETTERS TO THE EDITOR: Total reflection of light from a corrugated surface of a dielectric waveguide , 1985 .

[22]  Sorin Tibuleac,et al.  Reflection and transmission guided-mode resonance filters , 1997 .

[23]  J N Mait,et al.  Three-dimensional analysis of subwavelength diffractive optical elements with the finite-difference time-domain method. , 2000, Applied optics.

[24]  R. Magnusson,et al.  Resonant leaky-mode spectral-band engineering and device applications. , 2004, Optics express.

[25]  John R. Lowell,et al.  Toward Applications of Slow Light Technology , 2007 .

[26]  Shanhui Fan,et al.  All-pass transmission or flattop reflection filters using a single photonic crystal slab , 2004 .

[27]  Robert Magnusson,et al.  Use of nondegenerate resonant leaky modes to fashion diverse optical spectra. , 2004, Optics express.

[28]  O. Bryngdahl,et al.  Pulse delay at diffractive structures under resonance conditions. , 1998, Optics letters.