Photonic Band Structures of Two-Dimensional Dielectric Media

When a quantum or a classical wave propagates in a periodic structure in any number of spatial dimensions, the dispersion curves that relate the frequencies of the wave to the wave vector characterizing its propagation possess an infinite number of branches. These branches form bands that are separated by frequency gaps at points of symmetry in the corresponding Brillouin zones. In some cases an absolute gap occurs, viz. a frequency range in which no waves can propagate that exists for all values of the wave vector in the Brillouin zone, and gives rise to a gap in the density of states of the waves propagating through these structures.

[1]  John,et al.  Quantum optics of localized light in a photonic band gap. , 1991, Physical review. B, Condensed matter.

[2]  Genack,et al.  Suppression of molecular interactions in periodic dielectric structures. , 1988, Physical review letters.

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

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

[5]  J. Joannopoulos,et al.  Donor and acceptor modes in photonic band structure. , 1991, Physical review letters.

[6]  B. Auld,et al.  ELASTIC WAVE PROPAGATION IN THREE-DIMENSIONAL PERIODIC COMPOSITE MATERIALS , 1984 .

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

[8]  Leung,et al.  Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media. , 1990, Physical review letters.

[9]  T. Gmitter,et al.  Inhibited and enhanced spontaneous emission from optically thin AlGaAs/GaAs double heterostructures. , 1988, Physical review letters.

[10]  J. Callaway.  Quantum theory of the solid state , 1974 .

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

[12]  Zhang,et al.  Theory of photon bands in three-dimensional periodic dielectric structures. , 1990, Physical review letters.

[13]  Michel Piché,et al.  Photonic band gaps of transverse-electric modes in two-dimensionally periodic media , 1991 .

[14]  Alexei A. Maradudin,et al.  Two-dimensional photonic band structures , 1991 .

[15]  S. John,et al.  Quantum electrodynamics near a photonic band gap: Photon bound states and dressed atoms. , 1990, Physical review letters.

[16]  Robertson,et al.  Measurement of photonic band structure in a two-dimensional periodic dielectric array. , 1992, Physical review letters.

[17]  Arthur R. McGurn,et al.  Photonic band structure of a truncated, two-dimensional, periodic dielectric medium , 1993 .

[18]  A. A. Maradudin,et al.  Theory of lattice dynamics in the harmonic approximation , 1971 .

[19]  Rangarajan,et al.  Optimal structures for classical wave localization: An alternative to the Ioffe-Regel criterion. , 1988, Physical review. B, Condensed matter.

[20]  Zhang,et al.  Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell's equations. , 1990, Physical review letters.

[21]  Leung,et al.  Photonic band structure: The face-centered-cubic case employing nonspherical atoms. , 1991, Physical review letters.

[22]  John D. Joannopoulos,et al.  Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays , 1993 .

[23]  Eli Yablonovitch,et al.  Photonic band structure: the face-centered-cubic case , 1990 .

[24]  Schultz,et al.  Microwave propagation in two-dimensional dielectric lattices. , 1991, Physical review letters.

[25]  J. Joannopoulos,et al.  Electromagnetic Bloch waves at the surface of a photonic crystal. , 1991, Physical review. B, Condensed matter.

[26]  A. Maradudin,et al.  Diffraction of light by a periodically modulated dielectric half-space , 1984 .

[27]  John D. Joannopoulos,et al.  Existence of a photonic band gap in two dimensions , 1992 .

[28]  Leung,et al.  Photon band structures: The plane-wave method. , 1990, Physical review. B, Condensed matter.

[29]  Economou,et al.  Classical wave propagation in periodic structures. , 1989, Physical review. B, Condensed matter.