Design of optomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab

Optics Express

Volumn 18, Issue 14, 2010, Pages 14926-14943

  Safavi Naeini, Amir H ^a   Painter, Oskar ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; CRYSTAL STRUCTURE; ENERGY GAP; Q FACTOR MEASUREMENT; QUANTUM OPTICS; RESONANCE;

ACOUSTIC RESONANCE; MECHANICAL EXCITATIONS; MECHANICAL RESONANCE; OPTICAL WAVEGUIDING; OPTOMECHANICAL CAVITIES; PHOTONIC CRYSTAL SLAB; RESONANT CAVITY STRUCTURES; WAVEGUIDE STRUCTURE;

WAVEGUIDES;

EID: 84886949977     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.18.014926     Document Type: Article

References (53)

1. T. J. Kippenberg and K. J. Vahala, "Cavity optomechanics: Back-action at the mesoscale," Science 321, 1172-1176 (2008).
2. I. Favero and K. Karrai, "Optomechanics of deformable optical cavities," Nat. Photonics 3, 201-205 (2009).
3. J. Chan, M. Eichenfleld, R. Camacho, and O. Painter, "Optical and mechanical design of a "zipper" photonic crystaloptomechanical cavity," Opt. Express 17, 3802-3817 (2009).
4. M. Eichenfleld, R. Camacho, J. Chan, K. J. Vahala, and O. Painter, "A picogram- and nanometre-scale photoniccrystal optomechanical cavity," Nature 459, 550-555 (2009).
5. M. Li, W. H. P. Pernice, C. Xiong, T. Baehr-Jones, M. Hochberg, and H. X. Tang, "Harnessing optical forces in integrated photonic circuits," Nature 456, 480-484 (2008).
6. Q. Lin, J. Rosenberg, X. Jiang, K. J. Vahala, and O. Painter, "Mechanical oscillation and cooling actuated by the optical gradient force," Phys. Rev. Lett. 103, 103601 (2009).
7. G. S. Wiederhecker, L. Chen, A. Gondarenko, and M. Lipson, "Controlling photonic structures using optical forces," Nature 462, 633-636 (2009).
8. J. Roels, I. De Vlaminck, L. Lagae, B. Maes, D. Van Thourhout, and R. Baets, "Tunable optical forces between nanophotonic waveguides," Nat. Nanotechnol. 4, 510-513 (2009).
9. M. Eichenfleld, J. Chan, R. M. Camacho, K. J. Váhala, and O. Painter, "Optomechanical crystals," Nature 462, 78-82 (2009).
10. M. Eichenfleld, J. Chan, A. H. Safavi-Naeini, K. J. Vahala, and O. Painter, "Modeling dispersive coupling and losses of localized optical and mechanical modes in optomechanical crystals," Opt. Express 17, 20078-20098 (2009).
11. O. J. Painter, A. Husain, A. Scherer, J. D. O'Brien, I. Kim, and P. D. Dapkus, "Room temperature photonic crystal defect lasers at near-infrared wavelengths in InGaAsP," J. Lightwave Technol. 17, 2082 (1999).
12. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O'Brien, P. D. Dapkus, and I. Kim, "Two-dimensional photonic band-gap defect mode laser," Science 284, 1819-1821 (1999).
13. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal, microcavities for cavity qed," Phys. Rev. E 65, 016608 (2001).
14. H. Takano, B.-S. Song, T. Asano, and S. Noda, "Highly efficient multi-channel drop filter in a two-dimensional hetero photonic crystal," Opt. Express 14, 3491-3496 (2006).
15. B.-S. Song, T. Asano, Y. Akahane, Y. Tanaka, and S. Noda, "Multichannel add/drop filter based on in-plane hetero photonic crystals," J. Lightwave Technol. 23, 1449-1455 (2005).
16. M. Notomi, A. Shinya, S. Mitsugi, G. Kira, E. Kuramochi, and T. Tanabe, "Optical bistable switching action of Si high-Q photonic-crystal nanocavities," Opt. Express 13, 2678-2687 (2005).
17. R. H. Olsson III and I. El-Kady, "Microfabricated phononic crystal devices and applications," Meas. Sci. Technol. 20, 012002 (2009).
18. J. V. Sanchez-Perez, D. Caballero, R. Martinez-Sala, C. Rubio, J. Sanchez-Dehesa, F. Meseguer, J. Limares, and F. Galvez, "Sound attenuation by a two-dimensional array of rigid cylinders," Phys. Rev. Lett. 80, 5325-5328 (1998).
19. J. O. Vasseur, A.-C. Hladky-Hennion, B. Djafari-Rouhani, F. Duval, B. Dubus, Y. Pennec, and P. A. Deymier, "Waveguiding in two-dimensional piezoelectric phononic crystal, plates," J. Appl. Phys. 101, 114904 (2007).
20. K.-B. Gu, C-L. Chang, J.-C. Shieh, and W.-P. Shih, "Design and fabrication of 2d phononic crystals in surface acoustic wave micro devices," in "Micro Electro Mechanical Systems, 2006. MEMS 2006 Istanbul. 19th IEEE International Conference on," (2006), pp. 686-689.
21. S. Mohammadi, A. A. Eftekhar, A. Khelif, W. D. Hunt, and A. Adibi, "Evidence of large high frequency complete phononic band gaps in silicon, phononic crystal plates," Appl. Phys. Lett. 92, 221905-3 (2008).
22. M. Maldovan and E. Thomas, "Simultaneous complete elastic and electromagnetic band gaps in periodic structures," Appl. Phys. B 83, 595-600 (2006).
23. T. Gorishnyy, C. Ullal, M. Maldovan, G. Fytas, and E. Thomas, "Hypersonic phononic crystals," Phys. Rev. Lett. 94, 115501 (2005).
24. M. Maldovan and E. L. Thomas, "Simultaneous localization of photons and phonons in two-dimensional periodic structures," Appl. Phys. Lett. 88, 251907 (2006).
25. S. Mohammadi, A. A. Eftekhar, W. D. Hunt, and A. Adibi, "High-Q micromechanical resonators in a twodimensional phononic crystal slab," Appl. Phys. Lett. 94, 051906 (2009).
26. S. Mohammadi, A. Eftekhar, and A. Adibi, "Large simultaneous band gaps for photonic and phononic crystal slabs," in "Lasers and Electro-Optics, 2008 and 2008 Conference on Quantum. Electronics and Laser Science. CLEO/QELS 2008. Conference on," (2008), pp. 1-2.
27. S. Mohammadi, A. Eftekhar, A. Khelif and A. Adibi, "Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs," Opt. Express 18, 9164-9172 (2010).
28. M. Notomi, H. Taniyama, S. Mitsugi, and E. Kuramochi, "Optomechanical wavelength and energy conversion in high-Q double-layer cavities of photonic crystal slabs," Phys. Rev. Lett. 97, 023903 (2006).
29. V. Laude, A. Khelif, S. Benchabane, M. Wilm, T. Sylvestre, B. Kibler, A. Mussot, J. Dudley, and H. Maillotte, "Phononic band-gap guidance of acoustic modes in photonic crystal fibers," Phys. Rev. B 71, 045107 (2005).
30. P. Dainese, P. S. J. Russell, N. Joly, J. C. Knight, G. S. Wiederhecker, H. L. Fragnito, V. Laude, and A. Khelif, "Stimulated brillouin scattering from multi-GHz-guided acoustic phonons in nanostructured photonic crystal fibres," Nat. Phys. 2, 388-392 (2006).
31. A. Brenn, G. Wiederhecker, M. Kang, H. Hundertmark, N. Joly and P.St.J. Russell, "Influence of air-filling fraction on forward Raman-like scattering by transversely trapped acoustic resonances in photonic crystal fibers," J. Opt. Soc. Am. B 26, 1641-1648 (2009).
32. M. S. Kang, A. Nazarkin, A. Brenn, and P. S. J. Russell, "Tightly trapped acoustic phonons in photonic crystal, fibres as highly nonlinear artificial raman oscillators," Nat. Phys. 5, 276-280 (2009).
33. V. Leroy, A. Bretagne, M. Fink, H. Willaime, P. labeling, and A. Tourin, "Design and characterization, of bubble phononic crystals," Appl. Phys. Lett. 95, 171904 (2009).
34. C. Kittel, Introduction to Solid State Physics (John Wiley, 2005).
35. COMSOL Multphysics 3.5 (2009).
36. S. Nemat-Nasser and M. Hori, Micromechanics: overall properties of heterogeneous materials (North-Holland, 1993).
37. C. Mei, J. Auriault, and C. Ng, "Some applications of the homogenization theory," Adv. Appl. Mech. 32, 278-348 (1996).
38. S. G. Johnson, and J. D. Joannopoulos, "Block-iterative frequency-domain methods for maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001).
39. A. Chutinan and S. Noda, "Waveguides and waveguide bends in two-dimensional photonic crystal, slabs," Phys. Rev. B 82, 4488-4492 (2000).
40. S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic-crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
41. B.-S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-q photonic double-heterostructure nanocavity," Nat. Mater. 4, 207-210 (2005).
42. E. Kuramochi, M. Notomi, S. Mitsugi, A. Shinya, T. Tanabe, and T. Watanabe, "Ultrahigh-q photonic crystal nanocavities realized by the local width modulation of a line defect," Appl. Phys. Lett. 88, 041112-3 (2006).
43. P. E. Barclay, K. Srinivasan, and O. Painter, "Design of photonic crystal, waveguides for evanescent coupling to optical fiber tapers and integration with high-Q cavities," J. Opt. Soc. Am. B 20, 2274-2284 (2003).
44. P. Dainese, P. S. J. Russell, G. S. Wiederhecker, N. Joly, H. L. Fragnito, V. Laude, and A. Khelif, "Raman-like light scattering from acoustic phonons in photonic crystal, fiber," Opt. Express 14, 4141-4150 (2006).
45. R. W. Boyd, Nonlinear Optics, 3ed (Academic Press, 2008).
46. S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, "Perturbation theory for maxwell's equations with shifting material boundaries," Phys. Rev. E 65, 066611-7 (2002).
47. G. Wannier, "Dynamics of band electrons in electric and magnetic fields," Rev. Mod. Phys. 34, 645-655 (1962).
48. M. Charbonneau-Lefort, E. Istrate, M. Allard, J. Poon, and E. Sargent, "Photonic crystal heterostructures: Waveguiding phenomena and methods of solution in an envelope function picture," Phys. Rev. B 65, 125318-7 (2002).
49. E. Istrate, M. Charbonneau-Lefort, and E. Sargent, "Theory of photonic crystal heterostructures," Phys. Rev. B 66, 075121-6 (2002).
50. O. Painter, K. Srinivasan, and P. Barclay, "Wannier-like equation for the resonant cavity modes of locally perturbed photonic crystals," Phys. Rev. B 68, 035214-13 (2003).
51. D. Chang, A. H. Safavi-Naeini, M. Hafezi, and O. Painter, "Slowing and stopping light using an optomechanical crystal, array," arXiv: 1006.3829 (2010).
52. P. Rabl, S. J. Kolkowitz, F. H. Koppens, J. G. E. Harris, P. Zoller, and M. D. Lukin, "A quantum spin transducer based on nano electro-mechanical resonator arrays," arXiv:0908.0316v1 (2009).
53. M. Wallquist, K. Hammerer, P. Rabl, M. Lukin, and P. Zoller, "Hybrid quantum devices and quantum engineering," Phys. Scr. T 137, 014001 (2009).