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

Pennec, Yan; Rouhani, B. Djafari; Boudouti, El Houssaine El; Li, C.; Hassouani, Y. El; Vasseur, J. O.; Papanikolaou, N.; Benchabane, Sarah; Laude, Vincent; Martı́nez, Alejandro

doi:10.1364/oe.18.014301

Cited by 121 publications

(97 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We have shown 32 that honeycomb (and more generally boron nitride) as well as square lattices can display dual phononic/photonic band gaps in slab structures. Among a large set of investigated geometrical parameters, 32 only a few can exhibit absolute band gaps for both excitations, while in general it is possible to find an absolute phononic gap together with a photonic gap of a given symmetry (odd or even with respect to the middle plane of the slab). To illustrate the cavity optomechanic interaction, we consider a square lattice of holes in a silicon membrane.…”

Section: Cavity In a Two-dimensional Crystal Slabmentioning

confidence: 99%

Optomechanic interactions in phoxonic cavities

et al. 2014

View full text Add to dashboard Cite

Phoxonic crystals are periodic structures exhibiting simultaneous phononic and photonic band gaps, thus allowing the confinement of both excitations in the same cavity. The phonon-photon interaction can be enhanced due to the overlap of both waves in the cavity. In this paper, we discuss some of our recent theoretical works on the strength of the optomechanic coupling, based on both photoelastic and moving interfaces mechanisms, in different (2D, slabs, strips) phoxonic crystals cavities. The cases of two-dimensional infinite and slab structures will enable us to mention the important role of the symmetry and degeneracy of the modes, as well as the role of the materials whose photoelastic constants can be wavelength dependent. Depending on the phonon-photon pair, the photoelastic and moving interface mechanisms can contribute in phase or out-of-phase. Then, the main part of the paper will be devoted to the optomechanic interaction in a corrugated nanobeam waveguide exhibiting dual phononic/photonic band gaps. Such structures can provide photonic modes with very high quality factor, high frequency phononic modes of a few GHz inside a gap and optomechanical coupling rate reaching a few MHz.

show abstract

Section: Cavity In a Two-dimensional Crystal Slabmentioning

confidence: 99%

Optomechanic interactions in phoxonic cavities

et al. 2014

View full text Add to dashboard Cite

show abstract

“…[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

View full text Add to dashboard Cite

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.

show abstract

“…8 In this work, we have chosen the following parameters: h ¼ 0.5a (slab thickness) and r ¼ 0.25a (hole radius), where a ¼ 690 nm is the lattice constant. To obtain the dispersion relation for the photonic and phononic crystals, we have used two different numerical methods: plane wave expansion method (PWE) for photonic bands and finite element method (FEM) for phononic bands.…”

Section: Waveguides In the Honeycomb-lattice Slabmentioning

confidence: 99%

“…7 In order to have a full control over light and sound in all directions, phoxonic crystals should be ideally threedimensional (3D). 8,9 However, the physical implementation of 3D photonic, phononic, or phoxonic structures is quite complicated, and even more is the introduction of defects, such as cavities or guides. A more practical alternative to 3D structures is the use of two-dimensional (2D) periodic structures in a suspended slab.…”

Section: Introductionmentioning

confidence: 99%

“…4 Point and linear defects in such 2D phoxonic crystal slabs would allow the simultaneous confinement of light and sound in nanoscale volumes. 5,6,10 Interestingly, silicon phoxonic crystal structures can be fabricated using mainstream CMOS technology, which opens the door towards large-scale production of nanoscale devices supporting light and sound interactions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of single-mode waveguides for enhanced light-sound interaction in honeycomb-lattice silicon slabs

Escalante

Martı́nez

Laude

2014

Journal of Applied Physics

View full text Add to dashboard Cite

We present the design of two waveguides (ladder and slot-ladder waveguides) implemented in a silicon honeycomb photonic-phononic crystal slab, which can support slow electromagnetic and elastic guided modes simultaneously. Interestingly, the photonic bandgap extends along the first Brillouin zone; so with an appropriate design, we can suppress propagation losses that arise coupling to radiative modes. From the phononic point of view, we explain the slow elastic wave effect by considering the waveguide as a chain of coupled acoustic resonators (coupled resonant acoustic waveguide), which provides the mechanism for slow elastic wave propagation. The ladder waveguide moreover supports guided phononic modes outside the phononic bandgap, similar to photonic slab modes, resulting in highly confined phononic modes propagating with low losses. Such waveguides could find important applications to the observation of optomechanical and electrostriction effects, as well as to enhanced stimulated Brillouin scattering and other opto-acoustical effects in nanoscale silicon structures. We also suggest that they can be the basis for a "perfect" photonic-phononic cavity in which damping by coupling to the surroundings is completely forbidden. V C 2014 AIP Publishing LLC. [http://dx

show abstract

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

Cited by 121 publications

References 27 publications

Optomechanic interactions in phoxonic cavities

Optomechanic interactions in phoxonic cavities

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

Design of single-mode waveguides for enhanced light-sound interaction in honeycomb-lattice silicon slabs

Contact Info

Product

Resources

About