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

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 ho...

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Bibliographic Details
Published in:Optics express 2010-06, Vol.18 (13), p.14301-14310
Main Authors: Pennec, Y, Djafari Rouhani, B, El Boudouti, E H, Li, C, El Hassouani, Y, Vasseur, J O, Papanikolaou, N, Benchabane, S, Laude, V, Martinez, A
Format: Article
Language:English
Subjects:
Acoustics
Acoustics - instrumentation
Boron Compounds - chemistry
Crystallization
Engineering Sciences
Mechanics
Models, Theoretical
Optics
Optics and Photonics - instrumentation
Photons
Physics
Silicon - chemistry
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Summary: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.
ISSN:1094-4087
1094-4087
DOI:10.1364/oe.18.014301