Negative refraction in semiconductor photonic crystals

The coupling efficiency between external plane waves and the Bloch waves in photonic crystals are investigated. It is found that the coupling coefficient is highly angular dependent even for an interface between air n=1 and a photonic crystal with effective index -1. It is also shown that, for point imaging by a photonic crystal slab owing to the negative refraction, the influence of the surface termination to the transmission and the imaging quality is significant. Finally, we present results demonstrating experimentally negative refraction in a two-dimensional photonic crystal.

[1]  Kim,et al.  Two-dimensional photonic band-Gap defect mode laser , 1999, Science.

[2]  Steven G. Johnson,et al.  Subwavelength imaging in photonic crystals , 2003 .

[3]  M. Qiu,et al.  Negative refraction at infrared wavelengths in a two-dimensional photonic crystal. , 2004, Physical review letters.

[4]  O. Painter,et al.  Two-dimensional photonic bandgap defect laser , 1999, 1999 Digest of the LEOS Summer Topical Meetings: Nanostructures and Quantum Dots/WDM Components/VCSELs and Microcavaties/RF Photonics for CATV and HFC Systems (Cat. No.99TH8455).

[5]  Amadeu Griol,et al.  Experimental and theoretical analysis of the self-focusing of light by a photonic crystal lens , 2004 .

[6]  Sakoda Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices. , 1995, Physical review. B, Condensed matter.

[7]  Zhiyuan Li,et al.  Evaluation of lensing in photonic crystal slabs exhibiting negative refraction , 2003 .

[8]  B. Jaskorzynska,et al.  Low loss InP-based photonic crystal waveguides etched with Ar/Cl/sub 2/ chemically assisted ion beam etching , 2001, Proceedings 27th European Conference on Optical Communication (Cat. No.01TH8551).

[9]  C. Soukoulis,et al.  Subwavelength resolution in a two-dimensional photonic-crystal-based superlens. , 2003, Physical review letters.

[10]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.

[11]  Knight,et al.  Photonic band gap guidance in optical fibers , 1998, Science.

[12]  Y. Tanabe,et al.  Photonic Bands Using Vector Spherical Waves. II. Reflectivity, Coherence and Local Field , 1996 .

[13]  C. Soukoulis,et al.  Electromagnetic waves: Negative refraction by photonic crystals , 2003, Nature.

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

[15]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[16]  Sailing He,et al.  Focusing properties of a photonic crystal slab with negative refraction , 2004 .

[17]  Srinivas Sridhar,et al.  Photonic crystals: Imaging by flat lens using negative refraction , 2003, Nature.

[18]  Min Qiu,et al.  Wave propagation through a photonic crystal in a negative phase refractive-index region , 2003 .

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

[20]  Tsuyoshi Ueta,et al.  Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods , 1998 .

[21]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

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

[23]  Masaya Notomi,et al.  Superprism Phenomena in Photonic Crystals , 1998 .

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

[25]  Steven G. Johnson,et al.  All-angle negative refraction without negative effective index , 2002 .

[26]  Vassilios Yannopapas,et al.  Heterostructures of photonic crystals: frequency bands and transmission coefficients , 1998 .

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

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

[29]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

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

[31]  V. Veselago The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .