Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices

We report on the measurement of the diffraction efficiency of two-dimensional photonic-bandgap lattices consisting of a triangular array of circular air holes etched in a semiconductor waveguide. We use the spontaneous emission of the material as an internal point source. Combined with previous reflectivity and transmission measurements, the diffraction data allow us to assess the total amount of out-of-plane losses experienced by a guided wave traversing the dielectric lattice, as a function of the lattice pitch. We found that these losses are particularly weak for some range of parameters, especially in the photonic bandgap of interest. We discuss the reasons why they can be substantial with other parameters.

[1]  J. Pendry,et al.  Calculation of photon dispersion relations. , 1992, Physical review letters.

[2]  H. Kogelnik,et al.  Coupled‐Wave Theory of Distributed Feedback Lasers , 1972 .

[3]  D. M. Atkin,et al.  Bound Modes of Two-Dimensional Photonic Crystal Waveguides , 1996 .

[4]  A. J. Ward,et al.  A program for calculating photonic band structures and transmission coefficients of complex structures , 1995 .

[5]  Jean-Michel Gérard,et al.  Photonic bandgap of two-dimensional dielectric crystals , 1994 .

[6]  V. Berger,et al.  Finite-element Maxwell’s equations modeling of etched air/dielectric Bragg mirrors , 1997 .

[7]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[8]  D. Bertho,et al.  Optical properties of two-dimensional photonic crystals with graphite structure , 1997 .

[9]  Thomas F. Krauss,et al.  Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths , 1996, Nature.

[10]  Henri Benisty,et al.  Quantitative measurement of transmission, reflection and diffraction of two-dimensional photonic band gap structures at near-infrared wavelengths , 1997 .

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

[12]  A. Maradudin,et al.  Photonic band structure of two-dimensional systems: The triangular lattice. , 1991, Physical review. B, Condensed matter.

[13]  Henri Benisty,et al.  Use of guided spontaneous emission of a semiconductor to probe the optical properties of two-dimensional photonic crystals , 1997 .

[14]  Henry I. Smith,et al.  Photonic-bandgap microcavities in optical waveguides , 1997, Nature.

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

[16]  Thomas F. Krauss,et al.  Demonstration of cavity mode between two-dimensional photonic-crystal mirrors , 1997 .

[17]  D. Maystre,et al.  Le theoreme de reciprocite pour les reseaux de conductivite finie: Demonstration et applications , 1974 .

[18]  R. Petit.  A Tutorial Introduction , 1980 .

[19]  Toshihiko Baba,et al.  Photonic crystals and microdisk cavities based on GaInAsP-InP system , 1997 .

[20]  M. Sigalas,et al.  Laser-micromachined millimeter-wave photonic band-gap cavity structures , 1995 .

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

[22]  Sakoda.  Transmittance and Bragg reflectivity of two-dimensional photonic lattices. , 1995, Physical review. B, Condensed matter.

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

[24]  P. Crozat,et al.  Experimental demonstration of complete photonic band gap in graphite structure , 1997 .

[25]  Chan,et al.  Photonic band gaps and defects in two dimensions: Studies of the transmission coefficient. , 1993, Physical review. B, Condensed matter.