Abstract

We study the localisation and control of high frequency sound in a dual-core square-lattice photonic crystal fibre preform. The coupled states of two neighboring acoustic resonances are probed using an interferometric set up, and experimental evidence is obtained for odd and even symmetry trapped states. Full numerical solutions of the acoustic wave equation show the existence of a two-dimensional sonic band gap, and numerical modelling of the strain field at the defects gives results that agree well with the experimental observations. The results suggest that sonic band gaps can be used to manipulate sound with great precision and enhance its interaction with light.

© 2003 Optical Society of America

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  1. C.M. Bowden, J.P. Dowling and H.O. Everitt (Editors), �??Development and applications of materials exhibiting photonic band gaps,�?? J. Opt. Soc. Am. 10, 279-413 (1993)
  2. J.D. Joannopoulos, R.D. Meade, R.D. and J.N. Winn, Photonic Crystals (Princeton University Press, Princeton, 1995)
  3. C. Soukoulis (Editor), Photonic Band Gap Materials (Kluwer Academic, Dordrecht, 1996)
  4. E.N. Economou and M. Sigalas, �??Stop bands for elastic-waves in periodic composite-materials,�?? J. Acoust. Soc. Am. 95, 1734-1740 (1994).
    [CrossRef]
  5. M. Shen and W. Cao, �??Acoustic band-gap engineering using finite-size layered structures of multiple periodicity,�?? Appl. Phys. Lett. 75, 3713-3715 (1999).
    [CrossRef]
  6. A. Díez, G. Kakarantzas, T.A. Birks and P.St.J. Russell, �?? Acoustic stop-bands in periodically microtapered optical fibers,�?? Appl. Phys. Lett. 76, 3481-3483 (2000).
    [CrossRef]
  7. C. Rubio, et al., �??The existence of full gaps and deaf bands in two-dimensional sonic crystals,�?? J. Lightwave Technol. 17, 2202-2207 (1999).
    [CrossRef]
  8. Y. Tanaka, Y. Tomoyasu and S. Tamura, �?? Band structure of acoustic waves in phononic lattices: Two dimensional composites with large acoustic mismatch,�?? Phys. Rev. B 62, 7387-7392 (2000).
    [CrossRef]
  9. E. Marin, A. Díez and P.St.J. Russell, �??Optical measurement of trapped acoustic mode at defect in square lattice photonic crystal fibre preform,�?? Proc. Conf. Lasers & Electro-Optics (CLEO, Baltimore) May 2001, p 123.
  10. E. Marin, B.J. Mangan, A. Díez, and P.St.J. Russell, �??Acoustic modes of a dual-core square-lattice photonic crystal fibre preform,�?? Proc. European Conf. Opt. Commun. (ECOC, Amsterdam) October 2001, pp 518-519.
  11. P.St.J. Russell, �??Photonic crystal fibers,�?? Science 299, 358-362 (2003).
    [CrossRef]
  12. J.C. Knight, T.A. Birks and P.St.J. Russell, �??Holey silica fibres�?? in Optics of Nanostructured Materials, Editors V.A. Markel and T.F. George, pp 39-71 (John Wiley & Sons, New York, 2001).
  13. M. Torres, F.R.M. de Espinosa, D. Garcia-Pablos, and N. Garcia, �??Sonic band gaps in finite elastic media: Surface states and localization phenomena in linear and point defects,�?? Phys. Rev. Lett. 82, 3054-3057 (1999).
    [CrossRef]
  14. A. Yariv, and P. Yeh, Optical Waves in Crystals (John Wiley & Sons, New York, 1984).
  15. C.G. Poulton, A.B. Movchan, R.C. McPhedran, N.A. Nicorovici and Y.A. Antipov, �??Eigenvalue problems for doubly periodic elastic structures and phononic band gaps,�?? Proc. Roy. Soc. Lond. A. 456, 2543-2559 (2000).
  16. B.A. Auld, Acoustic Fields and Waves in Solids (Robert E. Krieger Publishing Company, Florida, 2nd Edition, 1990).
  17. P.St.J. Russell, �??Light in a tight space: enhancing matter-light interactions using photonic crystals,�?? Proc. Conf. Nonlinear Optics (Optical Society of America) 79, 377-379 (2002).
  18. J.M. Worlock and M.L. Roukes, �??Son et Lumière,�?? Nature 421, 802-803 (2003).
    [CrossRef]

Appl. Phys. Lett. (2)

M. Shen and W. Cao, �??Acoustic band-gap engineering using finite-size layered structures of multiple periodicity,�?? Appl. Phys. Lett. 75, 3713-3715 (1999).
[CrossRef]

A. Díez, G. Kakarantzas, T.A. Birks and P.St.J. Russell, �?? Acoustic stop-bands in periodically microtapered optical fibers,�?? Appl. Phys. Lett. 76, 3481-3483 (2000).
[CrossRef]

CLEO 2001 (1)

E. Marin, A. Díez and P.St.J. Russell, �??Optical measurement of trapped acoustic mode at defect in square lattice photonic crystal fibre preform,�?? Proc. Conf. Lasers & Electro-Optics (CLEO, Baltimore) May 2001, p 123.

Conf. Nonlinear Optics 2002 (1)

P.St.J. Russell, �??Light in a tight space: enhancing matter-light interactions using photonic crystals,�?? Proc. Conf. Nonlinear Optics (Optical Society of America) 79, 377-379 (2002).

ECOC 2001 (1)

E. Marin, B.J. Mangan, A. Díez, and P.St.J. Russell, �??Acoustic modes of a dual-core square-lattice photonic crystal fibre preform,�?? Proc. European Conf. Opt. Commun. (ECOC, Amsterdam) October 2001, pp 518-519.

J. Acoust. Soc. Am. (1)

E.N. Economou and M. Sigalas, �??Stop bands for elastic-waves in periodic composite-materials,�?? J. Acoust. Soc. Am. 95, 1734-1740 (1994).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. (1)

C.M. Bowden, J.P. Dowling and H.O. Everitt (Editors), �??Development and applications of materials exhibiting photonic band gaps,�?? J. Opt. Soc. Am. 10, 279-413 (1993)

Nature (1)

J.M. Worlock and M.L. Roukes, �??Son et Lumière,�?? Nature 421, 802-803 (2003).
[CrossRef]

Optics of Nanostructured Materials (1)

J.C. Knight, T.A. Birks and P.St.J. Russell, �??Holey silica fibres�?? in Optics of Nanostructured Materials, Editors V.A. Markel and T.F. George, pp 39-71 (John Wiley & Sons, New York, 2001).

Phys. Rev. B (1)

Y. Tanaka, Y. Tomoyasu and S. Tamura, �?? Band structure of acoustic waves in phononic lattices: Two dimensional composites with large acoustic mismatch,�?? Phys. Rev. B 62, 7387-7392 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

M. Torres, F.R.M. de Espinosa, D. Garcia-Pablos, and N. Garcia, �??Sonic band gaps in finite elastic media: Surface states and localization phenomena in linear and point defects,�?? Phys. Rev. Lett. 82, 3054-3057 (1999).
[CrossRef]

Proc. Roy. Soc. Lond. A. (1)

C.G. Poulton, A.B. Movchan, R.C. McPhedran, N.A. Nicorovici and Y.A. Antipov, �??Eigenvalue problems for doubly periodic elastic structures and phononic band gaps,�?? Proc. Roy. Soc. Lond. A. 456, 2543-2559 (2000).

Science (1)

P.St.J. Russell, �??Photonic crystal fibers,�?? Science 299, 358-362 (2003).
[CrossRef]

Other (4)

A. Yariv, and P. Yeh, Optical Waves in Crystals (John Wiley & Sons, New York, 1984).

B.A. Auld, Acoustic Fields and Waves in Solids (Robert E. Krieger Publishing Company, Florida, 2nd Edition, 1990).

J.D. Joannopoulos, R.D. Meade, R.D. and J.N. Winn, Photonic Crystals (Princeton University Press, Princeton, 1995)

C. Soukoulis (Editor), Photonic Band Gap Materials (Kluwer Academic, Dordrecht, 1996)

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