Recent progress in nano-optomechanical devices at microwave frequencies

Optomechanical crystals (also referred to as photonic–phononic crystals or phoxonic crystals) exploit the simultaneous photonic and phononic bandgaps in periodic nanostructures. They have been utilized to colocalize, couple, and transduce optical and mechanical (acoustic) waves for nonlinear interactions and precision measurements. Devices that involve standing or traveling acoustic waves of high frequencies usually have advantages in many applications. Here, we review recent progress in nano-optomechanical devices where the acoustic wave oscillates at microwave frequencies. We focus on our development of an optomechanical crystal cavity and a phoxonic crystal waveguide with special features. The development of near-infrared optomechanical crystal cavities has reached a bottleneck in reducing the mechanical modal mass. This is because the reduction of the spatial overlap between the optical and mechanical modes results in a reduced optomechanical coupling rate. With a novel optimization strategy, we have successfully designed an optomechanical crystal cavity in gallium nitride with the optical mode at the wavelength of 393.03 nm, the mechanical mode at 14.97 GHz, the mechanical modal mass of 22.83 fg, and the optomechanical coupling rate of 1.26 MHz. Stimulated Brillouin scattering (SBS) has been widely exploited for applications of optical communication, sensing, and signal processing. A recent challenge of its implementation in silicon waveguides is the weak per-unit-length SBS gain. Taking advantage of the strong optomechanical interaction, we have successfully engineered a phoxonic crystal waveguide structure, where the SBS gain coefficient is greater than 3×104 W−1 m−1 in the entire C band with the highest value beyond 106 W−1 m−1, which is at least an order of magnitude higher than the existing demonstrations.

[1]  B. Djafari-Rouhani,et al.  Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs. , 2011, Optics express.

[2]  Zejie Yu,et al.  Giant enhancement of stimulated Brillouin scattering with engineered phoxonic crystal waveguides. , 2018, Optics express.

[3]  Thomas Schneider,et al.  Generation of millimetre-wave signals by stimulated Brillouin scattering for radio over fibre systems , 2004 .

[4]  P. Rakich,et al.  Tailorable stimulated Brillouin scattering in nanoscale silicon waveguides , 2013, Nature communications.

[5]  J. Vasseur,et al.  Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs. , 2010, Optics express.

[6]  Zheng Wang,et al.  Tailoring optical forces in waveguides through radiation pressure and electrostrictive forces. , 2010, Optics express.

[7]  Oskar Painter,et al.  Two-dimensional phononic-photonic band gap optomechanical crystal cavity. , 2014, Physical review letters.

[8]  M. Agarwal,et al.  Limits of quality factor in bulk-mode micromechanical resonators , 2008, 2008 IEEE 21st International Conference on Micro Electro Mechanical Systems.

[9]  T. Kippenberg,et al.  Cavity Optomechanics , 2013, 1303.0733.

[10]  C. Poulton,et al.  Stimulated Brillouin Scattering in integrated photonic waveguides: forces, scattering mechanisms and coupled mode analysis , 2014, 1407.3521.

[11]  M. Soljačić,et al.  Stimulated brillouin scattering in slow light waveguides , 2012, 1210.0738.

[12]  Peter T. Rakich,et al.  Large Brillouin amplification in silicon , 2015, Nature Photonics.

[13]  O. Painter,et al.  Design of optomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab. , 2010, Optics express.

[14]  T. Alegre Electromagnetically Induced Transparency and Slow Light with Optomechanics , 2012 .

[15]  Gaurav Bahl,et al.  Non-reciprocal Brillouin scattering induced transparency , 2014, Nature Physics.

[16]  Guodong Chen,et al.  Mode conversion based on forward stimulated Brillouin scattering in a hybrid phononic-photonic waveguide. , 2014, Optics express.

[17]  Raphaël Van Laer,et al.  Interaction between light and highly confined hypersound in a silicon photonic nanowire , 2014, Nature Photonics.

[18]  K. Vahala,et al.  Optomechanical crystals , 2009, Nature.

[19]  V. Laude,et al.  Design of single-mode waveguides for enhanced light-sound interaction in honeycomb-lattice silicon slabs , 2014 .

[20]  M. Damzen,et al.  High-efficiency laser-pulse compression by stimulated Brillouin scattering. , 1983, Optics letters.

[21]  Guang-Can Guo,et al.  Brillouin-scattering-induced transparency and non-reciprocal light storage , 2014, Nature Communications.

[22]  Y. Pennec,et al.  Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate , 2010 .

[23]  Amit Vainsencher,et al.  Nanomechanical coupling between microwave and optical photons , 2013, Nature Physics.

[24]  M. Aspelmeyer,et al.  Laser cooling of a nanomechanical oscillator into its quantum ground state , 2011, Nature.

[25]  E. Thomas,et al.  Simultaneous complete elastic and electromagnetic band gaps in periodic structures , 2006 .

[26]  A. V. Nazarkin,et al.  Tightly trapped acoustic phonons in photonic crystal fibres as highly nonlinear artificial Raman oscillators , 2009 .

[27]  N. A. Olsson,et al.  Characteristics of a semiconductor laser pumped brillouin amplifier with electronically controlled bandwidth , 1987 .

[28]  O. Arcizet,et al.  Optomechanical coupling in a two-dimensional photonic crystal defect cavity , 2011, CLEO 2011.

[29]  F. Baida,et al.  Tailoring simultaneous photonic and phononic band gaps , 2009, Journal of Applied Physics.

[30]  Scott Diddams,et al.  Brillouin-enhanced hyperparametric generation of an optical frequency comb in a monolithic highly nonlinear fiber cavity pumped by a cw laser. , 2009, Physical review letters.

[31]  Oskar Painter,et al.  Optimized optomechanical crystal cavity with acoustic radiation shield , 2012, 1206.2099.

[32]  D. Bouwmeester,et al.  Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons , 2011, 1205.1346.

[33]  Steven G. Johnson,et al.  Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis. , 2001, Optics express.

[34]  Optomechanical crystal nanobeam cavity with high optomechanical coupling rate , 2015 .

[35]  H. Tsang,et al.  Ultraviolet optomechanical crystal cavities with ultrasmall modal mass and high optomechanical coupling rate , 2016, Scientific Reports.

[36]  V. Laude,et al.  Stimulated Brillouin scattering from multi-GHz-guided acoustic phonons in nanostructured photonic crystal fibres , 2006 .

[37]  A. Adibi,et al.  Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs. , 2010, Optics Express.

[38]  Peter T. Rakich,et al.  Giant enhancement of stimulated Brillouin scattering in the sub-wavelength limit , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).

[39]  C. Xiong,et al.  Aluminum nitride piezo-acousto-photonic crystal nanocavity with high quality factors , 2013 .

[40]  T H Russell,et al.  Laser beam combining and cleanup by stimulated Brillouin scattering in a multimode optical fiber. , 1999, Optics letters.

[41]  C. Becher,et al.  Modeling of optomechanical coupling in a phoxonic crystal cavity in diamond. , 2014, Optics express.

[42]  David K. Biegelsen,et al.  Photoelastic Tensor of Silicon and the Volume Dependence of the Average Gap , 1974 .

[43]  B. Djafari-Rouhani,et al.  Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure , 2011 .

[44]  T. Sakamoto,et al.  Low distortion slow light in flat Brillouin gain spectrum by using optical frequency comb. , 2008, Optics express.

[45]  Steven G. Johnson,et al.  Perturbation theory for Maxwell's equations with shifting material boundaries. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  Daniel J Gauthier,et al.  FSBS resonances observed in a standard highly nonlinear fiber. , 2011, Optics express.

[47]  Oskar Painter,et al.  Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity , 2010, 1006.3964.

[48]  Takuo Tanemura,et al.  Narrowband optical filter, with a variable transmission spectrum, using stimulated Brillouin scattering in optical fiber. , 2002, Optics letters.