The European Physical Journal D

, Volume 46, Issue 1, pp 157–164 | Cite as

Radiation induced force between two planar waveguides

Optical Physics

Abstract.

We study the electromagnetic force exerted on a pair of parallel slab waveguides by the light propagating through them. We have calculated the dependence of the force on the slab separation by means of the Maxwell–Stress tensor formalism and we have discussed its main features for the different propagation modes: spatially symmetric (antisymmetric) modes give rise to an attractive (repulsive) interaction. We have derived the asymptotic behaviors of the force at small and large separation and we have quantitatively estimated the mechanical deflection induced on a realistic air-bridge structure.

PACS.

03.50.De Classical electromagnetism, Maxwell equations 41.20.-q Applied classical electromagnetism 42.79.Gn Optical waveguides and couplers 

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References

  1. I. Wilson-Rae, P. Zoller, A. Imamoglu, Phys. Rev. Lett. 92, 075507 (2004); F. Marquardt, J.P. Chen, A.A. Clerk, S.M. Girvin, e-print arXiv:cond-mat/0701416; I. Wilson-Rae, N. Nooshi, W. Zwerger, T.J. Kippenberg, e-print arXiv:cond-mat/0702113; C. Genes, D. Vitali, P. Tombesi, S. Gigan, M. Aspelmeyer, e-print arXiv:0705.1728; J.D. Thompson, B.M. Zwickl, A.M. Jayich, F. Marquardt, S.M. Girvin, J.G.E. Harris, e-print arXiv:0707.1724 CrossRefADSGoogle Scholar
  2. P.C. Chaumet, M. Nieto-Vesperinas, Phys. Rev. B 62, 11185 (2000); P.C. Chaumet, M. Nieto-Vesperinas, Phys. Rev. B 61, 14119 (2000); P.C. Chaumet, M. Nieto-Vesperinas, Phys. Rev. B 64, 035422 (2001); M. Bayindir, C. Kural, E. Ozbay, J. Opt. A: Pure Appl. Opt. 3, S184 (2001); M.L. Povinelli, M. Ibanescu, S.G. Johnson, J.D. Joannopoulos, Appl. Phys. Lett. 85, 1466 (2004); R. Gómez-Medina, J.J. Sáenz, Phys. Rev. Lett. 93, 243602 (2004); M.L. Povinelli, S.G. Johnson, M. Loncar, M. Ibanescu, E.J. Smythe, F. Capasso, J.D. Joannopoulos, Opt. Exp. 13, 8286 (2005); A. Mizrahi, L. Schächter, Phys. Rev. E 74, 036504 (2006) CrossRefADSGoogle Scholar
  3. M. Notomi, H. Taniyama, S. Mitsugi, E. Kuramochi, Phys. Rev. Lett. 97, 023903 (2006) CrossRefADSGoogle Scholar
  4. M.L. Povinelli, M. Loncar, M. Ibanescu, E.J. Smythe, S.G. Johnson, F. Capasso, J.D. Joannopoulos, Opt. Lett. 30, 3042 (2005) CrossRefADSGoogle Scholar
  5. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972); D. Marcuse, Theory of Dielectric Optical Wave Guides (Academic Press, New York, 1974) Google Scholar
  6. K. Okamoto, Fundamentals of optical waveguides (Academic Press, 2000) Google Scholar
  7. C. Cohen-Tannoudji, B. Diu, F. Laloë, Quantum mechanics (Wiley-Interscience, 1977) Google Scholar
  8. J.D. Jackson, Classical Electrodynamics (Wiley, 1998) Google Scholar
  9. L.D. Landau, E.M. Lifshitz, The classical theory of fields (Pergamon Press, Oxford, 1975) Google Scholar
  10. M.I. Antonoyiannakis, J.B. Pendry, Phys. Rev. B 60, 2363 (1999) CrossRefADSGoogle Scholar
  11. L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii, Statistical mechanics, Vol. II: Theory of the condensed state (Pergamon Press, Oxford, 1980), Chap. VIII Google Scholar
  12. V.R. Almeida, Q. Xu, C.A. Barrios, M. Lipson, Opt. Lett. 29, 1209 (2004); Q. Xu, V.R. Almeida, R.R. Panepucci, M. Lipson, Opt. Lett. 29, 1626 (2004) CrossRefADSGoogle Scholar
  13. Note that this non-monotonic behavior has a completely different origin from the one reported in povinelli. There, a pair of linear waveguides were considered instead of slab ones, and the change of sign of the pressure for the antisymmetric TE mode was due to edge effects because of the confinement in the y-direction Google Scholar
  14. L.D. Landau, E.M. Lifshitz, Theory of Elasticity (Pergamon Press, Oxford, 1970) Google Scholar
  15. S. Iwamoto et al., App. Phys. Lett. 88, 011104 (2006) CrossRefGoogle Scholar
  16. A. San Paulo et al., App. Phys. Lett. 87, 053111 (2005) CrossRefGoogle Scholar
  17. J. Scheuer, G.T. Paloczi, J.K.S. Poon, A. Yariv, Opt. Photon. News 16, 36 (2005) CrossRefGoogle Scholar
  18. M. Eichenfield, C.P. Michael, R. Perahia, O. Painte, Nature Photon. 1, 406 (2007) CrossRefGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • F. Riboli
    • 1
  • A. Recati
    • 2
  • M. Antezza
    • 2
  • I. Carusotto
    • 2
  1. 1.LENSFirenzeItaly
  2. 2.CNR-INFM Center on Bose-Einstein Condensation and Dipartimento di Fisica, Universitá di TrentoPovo TrentoItaly

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