Photonic band structure evolution of a honeycomb lattice in the presence of an external magnetic field

A standard plane-wave expansion technique is used to investigate the evolution of the photonic band structure of a two-dimensional honeycomb lattice composed by cylindrical shell rods with dielectric permittivities e1 and e2, and embedded in a background with permittivity e3. We have considered the effect of dispersive dielectric responses as well as the influence of an externally applied magnetic field aiming to obtain efficient tunable bandgaps. Present results suggest that a combination of a doped semiconductor constituent with an anisotropic geometry, which breaks symmetry and unfolds degeneracies, provides an efficient realization of photonic systems with tunable bandgaps.

[1]  Chan,et al.  Existence of a photonic gap in periodic dielectric structures. , 1990, Physical review letters.

[2]  Maradudin,et al.  Photonic band structures of two- and three-dimensional periodic metal or semiconductor arrays. , 1993, Physical review. B, Condensed matter.

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

[4]  M. Adams,et al.  Optical waves in crystals , 1984, IEEE Journal of Quantum Electronics.

[5]  Jouanin,et al.  Hexagonal photonic-band-gap structures. , 1996, Physical review. B, Condensed matter.

[6]  Maradudin,et al.  Photonic band structures of two-dimensional systems containing metallic components. , 1994, Physical review. B, Condensed matter.

[7]  Ben-Yuan Gu,et al.  Creation of partial band gaps in anisotropic photonic-band-gap structures , 1998 .

[8]  Kurt Busch,et al.  Liquid-Crystal Photonic-Band-Gap Materials: The Tunable Electromagnetic Vacuum , 1999 .

[9]  B. Rezaei,et al.  Engineering absolute band gap in anisotropic hexagonal photonic crystals , 2006 .

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

[11]  Xinhua Hu,et al.  Semiconductor-based tunable photonic crystals by means of an external magnetic field , 2003 .

[12]  Edward H. Sargent,et al.  Photonic crystal heterostructures and interfaces , 2006 .

[13]  C. Kittel Introduction to solid state physics , 1954 .

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

[15]  Willem L. Vos,et al.  Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals , 2004, Nature.

[16]  Kurt Busch,et al.  PHOTONIC BAND GAP FORMATION IN CERTAIN SELF-ORGANIZING SYSTEMS , 1998 .