title: Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs.
abstract: We discuss the simultaneous existence of phononic and photonic band gaps in a periodic array of holes drilled in a Si membrane. We investigate in detail both the centered square lattice and the boron nitride (BN) lattice with two atoms per unit cell which include the simple square, triangular and honeycomb lattices as particular cases. We show that complete phononic and photonic band gaps can be obtained from the honeycomb lattice as well as BN lattices close to honeycomb. Otherwise, all investigated structures present the possibility of a complete phononic gap together with a photonic band gap of a given symmetry, odd or even, depending on the geometrical parameters.
authors.affiliation: Institut d'Electronique, de Microélectronique et de Nanotechnologie, Université de Lille1, Villeneuve d'Ascq, France. yan.pennec@univ-lille1.fr
authors.forename: Y
authors.initials: Y
authors.lastname: Pennec
authors.forename: B
authors.initials: B
authors.lastname: Djafari Rouhani
authors.forename: E H
authors.initials: EH
authors.lastname: El Boudouti
authors.forename: C
authors.initials: C
authors.lastname: Li
authors.forename: Y
authors.initials: Y
authors.lastname: El Hassouani
authors.forename: J O
authors.initials: JO
authors.lastname: Vasseur
authors.forename: N
authors.initials: N
authors.lastname: Papanikolaou
authors.forename: S
authors.initials: S
authors.lastname: Benchabane
authors.forename: V
authors.initials: V
authors.lastname: Laude
authors.forename: A
authors.initials: A
authors.lastname: Martinez
mesh_terms: D000162:Acoustics / Q000295:instrumentation*; D001896:Boron Compounds / Q000737:chemistry*; D003460:Crystallization; D008962:Models, Theoretical; D055095:Optics and Photonics / Q000295:instrumentation*; D017785:Photons; D012825:Silicon / Q000737:chemistry*
chemical_list: D001896:Boron Compounds; C017282:boron nitride; D012825:Silicon