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

Hassouani, Y. El; Li, C.; Pennec, Yan; Boudouti, El Houssaine El; Larabi, H.; Akjouj, Abdellatif; Matar, Olivier Bou; Laude, Vincent; Papanikolaou, N.; Martı́nez, Alejandro; Rouhani, B. Djafari

doi:10.1103/physrevb.82.155405

Cited by 71 publications

(51 citation statements)

References 26 publications

(33 reference statements)

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“…The latter has been receiving increasing interest for the last few years, as it can exhibit simultaneous photonic and phononic band gaps. [6][7][8][9][10][11][12] Maldovan and Thomas 6 demonstrated this property for an infinite two-dimensional (2D) crystal made of a square or hexagonal lattice of holes in silicon. Sadat-Saleh et al 7 extended this investigation to lithium niobate (LiNbO 3 ) and considered more general lattices.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, absolute photonic band gaps can be found for more complicated lattices such as boron nitride. 10 Shortly after, it was theoretically demonstrated that a periodic array of silicon pillars deposited on thin homogeneous silica (SiO 2 ) membrane can also be a promising phoxonic system for the three most common lattices, i.e., square, triangular, and honeycomb, 11 especially as concerns the flexibility in the choice of the geometrical parameters.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities

et al. 2013

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We theoretically investigate phonon-photon interaction in cavities created in a phoxonic crystal slab constituted by a two-dimensional (2D) square array of holes in a silicon membrane. The structure without defects provides 2D band gaps for both electromagnetic and elastic waves. We consider two types of cavities, namely, an L3 cavity (a row of three holes is removed) and a cross-shape cavity, which both possess highly confined phononic and photonic localized modes suitable for enhancing their interaction. In our theoretical study, we take into account two mechanisms that contribute to optomechanical interaction, namely, the photoelastic and the interface motion effects. We show that, depending on the considered pair of photonic and phononic modes, the two mechanisms can have similar or very different magnitudes, and their contributions can be either in or out of phase. We find out that only acoustic modes with a specific symmetry are allowed to couple with photonic cavity modes. The coupling strength is quantified by two different methods. In the first method, we compute a direct estimation of coupling rates by overlap integrals, while in the second one, we analyze the temporal modulation of the resonant photonic frequency by the phonon-induced acoustic vibrational motion during one acoustic period. Interestingly, we obtain high optomechanical interaction, with the coupling rate reaching more than 2.4 MHz for some specific phonon-photon pairs.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities

et al. 2013

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“…[45][46][47] In addition, we can also use the topology optimization to design PnC bandgaps with the ultra-low mid-frequencies for low frequency sound insulation. 60 Moreover, the topology optimization combined with the symmetry reduction may be suitable for the PxC bandgap engineering 34,[48][49][50][51][52][53][54][55][56][57][58] to construct more PxCs with a strong photon-phonon interaction. This interesting problem is the subject of our ongoing research.…”

Section: Conclusion Remarksmentioning

confidence: 99%

Reducing symmetry in topology optimization of two-dimensional porous phononic crystals

2015

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In this paper we present a comprehensive study on the multi-objective optimization of twodimensional porous phononic crystals (PnCs) in both square and triangular lattices with the reduced topology symmetry of the unit-cell. The fast non-dominated sorting-based genetic algorithm II is used to perform the optimization, and the Pareto-optimal solutions are obtained.The results demonstrate that the symmetry reduction significantly influences the optimized structures. The physical mechanism of the optimized structures is analyzed. Topology optimization combined with the symmetry reduction can discover new structures and offer new degrees of freedom to design PnC-based devices. Especially, the rotationally symmetrical structures presented here can be utilized to explore and design new chiral metamaterials.

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“…2D phoxonic crystal structures have been identified for silicon with air holes and silicon pillars in air [3,4], and for lithium niobate with air holes [6]. 3D phoxonic crystals composed of metal spheres in a dielectric background have been proposed [7], but the dominant material platform is arguably the silicon slab perforated with periodic arrays of sub-micrometer holes [8][9][10] or supporting a periodic array of pillars [11]. Such nanostructures can be precisely manufactured using silicon-on-insulator (SOI) technologies.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs

et al. 2011

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Abstract:We demonstrate theoretically that photons and acoustic phonons can be simultaneously guided and slowed down in specially designed nanostructures. Phoxonic crystal waveguides presenting simultaneous phononic and photonic band gaps were designed in perforated silicon membranes that can be conveniently obtained using silicon-on-insulator technology. Geometrical parameters for simultaneous photonic and phononic band gaps were first chosen for optical wavelengths around 1550 nm, based on the finite element analysis of a perfect phoxonic crystal of circular holes. A plain core waveguide was then defined, and simultaneous slow light and elastic guided modes were identified for some waveguide width. Joint guidance of light and elastic waves is predicted with group velocities as low as c/25 and 180 m/s, respectively. Brillouin scattering from multi-GHz-guided acoustic phonons in nanostructured photonic crystal fibres," Nat. Phys. 2, 388-392 (2006).

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

Cited by 71 publications

References 26 publications

Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities

Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities

Reducing symmetry in topology optimization of two-dimensional porous phononic crystals

Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs

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