Rainbow trapping in a chirped three-dimensional photonic crystal

Light localization and intensity enhancement in a woodpile layer-by-layer photonic crystal, whose interlayer distance along the light propagation direction is gradually varied, has been theoretically predicted and experimentally demonstrated. The phenomenon is shown to be related to the progressive slowing down and stopping of the incident wave, as a result of the gradual variation of the local dispersion. The light localization is chromatically resolved, since every frequency component is stopped and reflected back at different positions along the crystal. It has been further discussed that the peculiar relation between the stopping position and the wave vector distribution can substantially increase the enhancement factor to more than two orders of magnitude. Compared to previously reported one- and two-dimensional photonic crystal configurations, the proposed scheme has the advantage of reducing the propagation losses by providing a three-dimensional photonic bandgap confinement in all directions. The slowing down and localization of waves inside photonic media can be exploited in optics and generally in wave dynamics, in many applications that require enhanced interaction of light and matter.

[1]  J. Joannopoulos,et al.  Theoretical investigation of fabrication‐related disorder on the properties of photonic crystals , 1995 .

[2]  Kosmas L. Tsakmakidis,et al.  ‘Trapped rainbow’ storage of light in metamaterials , 2007, Nature.

[3]  M. Rutkauskas,et al.  Formation of collimated beams behind the woodpile photonic crystal , 2011 .

[4]  Kirk A. Fuller,et al.  Coupled-Resonator-Induced Transparency , 2004 .

[5]  Ekmel Ozbay,et al.  Heavy photons at coupled-cavity waveguide band edges in a three-dimensional photonic crystal , 2000 .

[6]  Sailing He,et al.  Slow light in a dielectric waveguide with negative-refractive-index photonic crystal cladding. , 2008, Optics express.

[7]  Thomas F. Krauss,et al.  Low loss propagation in slow light photonic crystal waveguides at group indices up to 60 , 2012 .

[8]  Yujie J. Ding,et al.  "Rainbow" trapping and releasing at telecommunication wavelengths. , 2009, Physical review letters.

[9]  D. D. Smith Coupled-resonator-induced transparency (6 pages) , 2004 .

[10]  Realization of "trapped rainbow" in 1D slab waveguide with surface dispersion engineering. , 2014, Optics express.

[11]  Kresten Yvind,et al.  Slow-light-enhanced gain in active photonic crystal waveguides , 2014, Nature Communications.

[12]  Liam O'Faolain,et al.  Dependence of extrinsic loss on group velocity in photonic crystal waveguides. , 2007, Optics express.

[13]  H. Kurt,et al.  Study of different spectral regions and delay bandwidth relation in slow light photonic crystal waveguides. , 2010, Optics express.

[14]  Chan,et al.  Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods. , 1994, Physical review. B, Condensed matter.

[15]  Thomas F. Krauss Slow light in photonic crystal waveguides , 2007 .

[16]  M. Treviño,et al.  Noradrenergic ‘Tone’ Determines Dichotomous Control of Cortical Spike-Timing-Dependent Plasticity , 2012, Scientific Reports.

[17]  T. Baba,et al.  Two regimes of slow-light losses revealed by adiabatic reduction of group velocity. , 2008, Physical review letters.

[18]  K. Staliunas,et al.  Enhancement of sound in chirped sonic crystals , 2012, 1211.4199.

[19]  H. Kurt,et al.  Rainbow trapping using chirped all-dielectric periodic structures , 2013 .

[20]  M. Lipson,et al.  Low loss etchless silicon photonic waveguides , 2009, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[21]  H. Atwater,et al.  Plasmonic rainbow trapping structures for light localization and spectrum splitting. , 2011, Physical review letters.

[22]  Kosmas L. Tsakmakidis,et al.  Tsakmakidis et al. reply , 2008, Nature.

[23]  Tie Jun Cui,et al.  Trapping surface plasmon polaritons on ultrathin corrugated metallic strips in microwave frequencies. , 2015, Optics express.

[24]  Kai Liu,et al.  Rainbow Trapping in Hyperbolic Metamaterial Waveguide , 2013, Scientific Reports.

[25]  J. Rarity,et al.  Investigation of defect cavities formed in three-dimensional woodpile photonic crystals , 2014, 1409.4209.

[26]  T. Krauss Why do we need slow light , 2008 .

[27]  Jeff F. Young,et al.  Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity. , 2005, Physical review letters.

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

[29]  Qiaoqiang Gan,et al.  Surface dispersion engineering of planar plasmonic chirped grating for complete visible rainbow trapping , 2011 .

[30]  M. Wegener,et al.  Fabrication and characterization of silicon woodpile photonic crystals with a complete bandgap at telecom wavelengths. , 2010, Optics letters.

[31]  I. Bennion,et al.  Sampled fiber Bragg grating for simultaneous refractive-index and temperature measurement. , 2001, Optics letters.

[32]  S. Harris,et al.  Light speed reduction to 17 metres per second in an ultracold atomic gas , 1999, Nature.

[33]  I. I. Smolyaninov,et al.  Trapped rainbow techniques for spectroscopy on a chip and fluorescence enhancement , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).

[34]  Experimental observation of the trapped rainbow , 2009, CLEO/QELS: 2010 Laser Science to Photonic Applications.

[35]  P Lalanne,et al.  Coupling into slow-mode photonic crystal waveguides. , 2007, Optics letters.

[36]  Yujie J. Ding,et al.  Experimental verification of the rainbow trapping effect in adiabatic plasmonic gratings , 2010, Proceedings of the National Academy of Sciences.

[37]  Kouki Totsuka,et al.  Slow light in coupled-resonator-induced transparency. , 2007, Physical review letters.

[38]  J. D. Joannopoulos,et al.  Enhancement of nonlinear effects using photonic crystals , 2004, Nature materials.

[39]  T. Baba,et al.  Light localizations in photonic crystal line defect waveguides , 2004, IEEE Journal of Selected Topics in Quantum Electronics.

[40]  Broadband slow-wave systems of subwavelength thickness excited by a metal wire , 2011 .

[41]  Philippe Lalanne,et al.  Photon confinement in photonic crystal nanocavities , 2008 .

[42]  K. Tsakmakidis,et al.  Can light be stopped in realistic metamaterials? , 2008, Nature.

[43]  T. Krauss,et al.  Loss engineered slow light waveguides. , 2010, Optics express.

[44]  Sailing He,et al.  Truly trapped rainbow by utilizing nonreciprocal waveguides , 2016, Scientific reports.

[45]  Guo Ping Wang,et al.  Rainbow trapping and releasing by chirped plasmonic waveguides at visible frequencies , 2010 .

[46]  M S Shahriar,et al.  Observation of ultraslow and stored light pulses in a solid. , 2001, Physical review letters.

[47]  M. Stockman,et al.  Nanofocusing of optical energy in tapered plasmonic waveguides. , 2004, Physical review letters.

[48]  Rainbow trapping in one-dimensional chirped photonic crystals composed of alternating dielectric slabs , 2011 .

[49]  Filbert J. Bartoli,et al.  Trapping of surface-plasmon polaritons in a graded Bragg structure: Frequency-dependent spatially separated localization of the visible spectrum modes , 2009 .

[50]  Tie Jun Cui,et al.  Ultrathin dual-band surface plasmonic polariton waveguide and frequency splitter in microwave frequencies , 2013 .

[51]  Yasuhiko Arakawa,et al.  Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap , 2011 .

[52]  Yujie J. Ding,et al.  Ultrawide-bandwidth slow-light system based on THz plasmonic graded metallic grating structures. , 2008, Physical review letters.