Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate

Y. El Hassouani (1) , C. Li (1) , Yan Pennec (1) , E.H. El Boudouti (1) , H. Larabi (1) , Abdellatif Akjouj (1) , Olivier Bou Matar (1) , V. Laude (2) , N. Papanikolaou , A. Martinez , Bahram Djafari-Rouhani (1)

1 IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

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.

Y. El Hassouani, C. Li, Yan Pennec, E.H. El Boudouti, H. Larabi, et al.. Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2010, 82, pp.155405-1-7. ⟨10.1103/PhysRevB.82.155405⟩. ⟨hal-00549058⟩