Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs

Yan Pennec (1) , Bahram Djafari-Rouhani (1) , E.H. El Boudouti (1) , C. Li (1) , Y. El Hassouani (1) , Jerome O. Vasseur (1) , N. Papanikolaou (2) , Sarah Benchabane (3) , Vincent Laude (3) , Alejandro Martinez (4)

1 IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520
2 IMEL - The Institute of Microelectronics, NCSR “Demokritos”
3 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
4 NTC-UPV - Nanophotonics Technology Centre, Universidad Politecnica de Valencia

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.

Domaines: Optique [physics.optics]; Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Yan Pennec, Bahram Djafari-Rouhani, E.H. El Boudouti, C. Li, Y. El Hassouani, et al.. Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs. Optics Express, 2010, 18 (13), pp.14301. ⟨10.1364/OE.18.014301⟩. ⟨hal-00539645⟩