Abstract

We propose a set of principles to tailor and enhance optical forces between parallel, periodic dielectric waveguides by molding the eigen-mode field distribution via the combined effects of highly symmetric slow light modes and waveguide morphology. The geometries here considered are amenable to standard lithographic techniques and possess strong repulsive and attractive optical forces that can be enhanced via slow-light band edge modes. This new methodology should enable the fabrication of optomechanical devices for applications in sensing, switching and nano-optomechanical systems.

© 2012 OSA

Full Article  |  PDF Article
OSA Recommended Articles
Tailoring repulsive optical forces in nanophotonic waveguides

Ardavan Oskooi, Pedro A. Favuzzi, Yoichi Kawakami, and Susumu Noda
Opt. Lett. 36(23) 4638-4640 (2011)

In plane manipulation of a dielectric nanobeam with gradient optical forces

Pedro A. Favuzzi, Richard Bardoux, Takashi Asano, Yoichi Kawakami, and Susumu Noda
Opt. Express 21(24) 29129-29139 (2013)

Crescent shaped dielectric periodic structure for light manipulation

H. Kurt, M. Turduev, and I. H. Giden
Opt. Express 20(7) 7184-7194 (2012)

References

  • View by:
  • |
  • |
  • |

  1. J. D. Jackson, Classical Electrodynamics, 3rd ed (Wiley, New York, 1998).
  2. D. V. Thourhout and J. Roels, “Optomechanical device actuation through the optical gradient force”, Nat. Photonics 4, 211–217 (2010).
    [Crossref]
  3. M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
    [Crossref] [PubMed]
  4. M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
    [Crossref]
  5. J. Ma and M. Povinelli, “Applications of optomechanical effects for on-chip manipulation of light signals”, Curr. Opin. Sol. State Mater. Sci 16, 82–90 (2012).
    [Crossref]
  6. M. Povinelli, M. Loncar, M. Ibanescu, E. Smythe, S. Johnson, F. Capasso, and J. Joannopoulos, “Evanescent-wave bonding between optical waveguides”, Opt. Lett. 30, 3042–3044 (2005).
    [Crossref] [PubMed]
  7. M. Li, W. Pernice, and H. Tang, “Tunable bipolar optical interactions between guided lightwaves”, Nat. Photonics 3, 464–469 (2009).
    [Crossref]
  8. A. Oskooi, P. Favuzzi, Y. Kawakami, and S. Noda, “Tailoring repulsive optical forces in nanophotonic waveguides”, Opt. Lett. 36, 4638–4640 (2011).
    [Crossref] [PubMed]
  9. M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
    [Crossref] [PubMed]
  10. J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic-crystal waveguide and an underlying substrate”, Appl. Phys. Lett. 97 (2010).
    [Crossref]
  11. J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed (Princeton Univ. Press, 2008).
  12. 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).
    [Crossref] [PubMed]
  13. V. Almeida, Q. Xu, C. Barrios, and M. Lipson, “Guiding and confining light in void nanostructure”, Opt. Lett. 29, 1209–1211 (2004).
    [Crossref] [PubMed]
  14. E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
    [Crossref] [PubMed]
  15. M. Tinkham, Group Theory and Quantum Meachanics, 2nd ed (Dover, 1992).

2012 (1)

J. Ma and M. Povinelli, “Applications of optomechanical effects for on-chip manipulation of light signals”, Curr. Opin. Sol. State Mater. Sci 16, 82–90 (2012).
[Crossref]

2011 (3)

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

A. Oskooi, P. Favuzzi, Y. Kawakami, and S. Noda, “Tailoring repulsive optical forces in nanophotonic waveguides”, Opt. Lett. 36, 4638–4640 (2011).
[Crossref] [PubMed]

2010 (3)

D. V. Thourhout and J. Roels, “Optomechanical device actuation through the optical gradient force”, Nat. Photonics 4, 211–217 (2010).
[Crossref]

J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic-crystal waveguide and an underlying substrate”, Appl. Phys. Lett. 97 (2010).
[Crossref]

M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
[Crossref]

2009 (2)

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

M. Li, W. Pernice, and H. Tang, “Tunable bipolar optical interactions between guided lightwaves”, Nat. Photonics 3, 464–469 (2009).
[Crossref]

2005 (1)

2004 (1)

2001 (1)

Almeida, V.

Arcizet, O.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Aspelmeyer, M.

M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
[Crossref]

Bagheri, M.

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

Barrios, C.

Beveratos, A.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Braive, R.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Camacho, R.

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

Capasso, F.

Chan, J.

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

Eichenfield, M.

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

Favuzzi, P.

Gavartin, E.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Groblacher, S.

M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
[Crossref]

Hammerer, K.

M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
[Crossref]

Ibanescu, M.

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 3rd ed (Wiley, New York, 1998).

Joannopoulos, J.

Joannopoulos, J. D.

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).
[Crossref] [PubMed]

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed (Princeton Univ. Press, 2008).

Johnson, S.

Johnson, S. G.

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).
[Crossref] [PubMed]

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed (Princeton Univ. Press, 2008).

Kawakami, Y.

Kiesel, N.

M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
[Crossref]

Kippenberg, T. J.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Li, M.

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

M. Li, W. Pernice, and H. Tang, “Tunable bipolar optical interactions between guided lightwaves”, Nat. Photonics 3, 464–469 (2009).
[Crossref]

Lipson, M.

Loncar, M.

Ma, J.

J. Ma and M. Povinelli, “Applications of optomechanical effects for on-chip manipulation of light signals”, Curr. Opin. Sol. State Mater. Sci 16, 82–90 (2012).
[Crossref]

J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic-crystal waveguide and an underlying substrate”, Appl. Phys. Lett. 97 (2010).
[Crossref]

Meade, R. D.

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed (Princeton Univ. Press, 2008).

Noda, S.

Oskooi, A.

Painter, O.

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

Pernice, W.

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

M. Li, W. Pernice, and H. Tang, “Tunable bipolar optical interactions between guided lightwaves”, Nat. Photonics 3, 464–469 (2009).
[Crossref]

Poot, M.

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

Povinelli, M.

J. Ma and M. Povinelli, “Applications of optomechanical effects for on-chip manipulation of light signals”, Curr. Opin. Sol. State Mater. Sci 16, 82–90 (2012).
[Crossref]

J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic-crystal waveguide and an underlying substrate”, Appl. Phys. Lett. 97 (2010).
[Crossref]

M. Povinelli, M. Loncar, M. Ibanescu, E. Smythe, S. Johnson, F. Capasso, and J. Joannopoulos, “Evanescent-wave bonding between optical waveguides”, Opt. Lett. 30, 3042–3044 (2005).
[Crossref] [PubMed]

Robert-Philip, I.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Roels, J.

D. V. Thourhout and J. Roels, “Optomechanical device actuation through the optical gradient force”, Nat. Photonics 4, 211–217 (2010).
[Crossref]

Sagnes, I.

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Smythe, E.

Tang, H.

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

M. Li, W. Pernice, and H. Tang, “Tunable bipolar optical interactions between guided lightwaves”, Nat. Photonics 3, 464–469 (2009).
[Crossref]

Thourhout, D. V.

D. V. Thourhout and J. Roels, “Optomechanical device actuation through the optical gradient force”, Nat. Photonics 4, 211–217 (2010).
[Crossref]

Tinkham, M.

M. Tinkham, Group Theory and Quantum Meachanics, 2nd ed (Dover, 1992).

Vahala, K.

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

Winn, J. N.

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed (Princeton Univ. Press, 2008).

Xu, Q.

Appl. Phys. Lett. (1)

J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic-crystal waveguide and an underlying substrate”, Appl. Phys. Lett. 97 (2010).
[Crossref]

Curr. Opin. Sol. State Mater. Sci (1)

J. Ma and M. Povinelli, “Applications of optomechanical effects for on-chip manipulation of light signals”, Curr. Opin. Sol. State Mater. Sci 16, 82–90 (2012).
[Crossref]

J. Opt. Soc. Am. B (1)

M. Aspelmeyer, S. Groblacher, K. Hammerer, and N. Kiesel, “Quantum optomechanics–throwing a glance”, J. Opt. Soc. Am. B 27, 189–197 (2010).
[Crossref]

Nat. Photonics (2)

D. V. Thourhout and J. Roels, “Optomechanical device actuation through the optical gradient force”, Nat. Photonics 4, 211–217 (2010).
[Crossref]

M. Li, W. Pernice, and H. Tang, “Tunable bipolar optical interactions between guided lightwaves”, Nat. Photonics 3, 464–469 (2009).
[Crossref]

Nature (1)

M. Eichenfield, J. Chan, R. Camacho, K. Vahala, and O. Painter, “Optomechanical crystals”, Nature 462, 78–82 (2009).
[Crossref] [PubMed]

Nature Nanotechnology (1)

M. Bagheri, M. Poot, M. Li, W. Pernice, and H. Tang, “Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction”, Nature Nanotechnology 6, 726–732 (2011).
[Crossref] [PubMed]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. Lett. (1)

E. Gavartin, R. Braive, I. Sagnes, O. Arcizet, A. Beveratos, T. J. Kippenberg, and I. Robert-Philip, “Optomechanical coupling in a two-dimensional photonic crystal defect cavity”, Phys. Rev. Lett. 106, 203902 (2011).
[Crossref] [PubMed]

Other (3)

M. Tinkham, Group Theory and Quantum Meachanics, 2nd ed (Dover, 1992).

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed (Princeton Univ. Press, 2008).

J. D. Jackson, Classical Electrodynamics, 3rd ed (Wiley, New York, 1998).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

(a) Schematics of the geometry in use. from (b) to (e): In-plane Eyz vector-field distribution (larger arrows mean more intense) with the total |E|2 in the background (darker is more intense) for the four fundamental modes of parallel waveguides with a semicircle profile (r = a/2) at an axial wave-vector of π/a and a fixed distance s = 0.05a. All arrows lengths and color scales share the same normalization.

Fig. 2
Fig. 2

(a) Normalized force per unit energy as a function of the waveguide-separation distance s/a of the four fundamental slow-light modes (kx = 0.98π/a) of two parallel-waveguides shown in inset (periodicity a, radius 0.3a). The inset also shows the dispersion diagram of the four studied modes. (b) Field distribution (y = 0 and y = 0.47a from the bottom) of the y-even/z-even and y-odd/z-even modes at the wavevector kx = 0.9π/a

Fig. 3
Fig. 3

(a) Waveguide’s unit cell. From (b) to (e): In plane Ezx vector-field distribution (larger arrows mean more intense) with the total |E|2 in the background (darker is more intense) for the four fundamental modes of parallel periodic waveguides (periodicity a, radius 0.3a, separation s/a = 0.05) cut along y = 0 and y = 0.47a at kx = 0.98π/a. Arrows and colors of all figures share the same normalization.

Fig. 4
Fig. 4

Normalized force per unit energy as a function of the waveguide-separation distance s/a for the four fundamental slow-light modes (kx = 0.98π/a) of two parallel-waveguides shown in inset (periodicity a, diameter d = 0.6a).The inset also shows the normalized force of the y-even/z-even mode for several different wavevectors.

Fig. 5
Fig. 5

(a): Waveguide’s unit cell. From (b) to (e): In plane Ezx vector-field distribution (larger arrows mean more intense) with the total |E|2 in the background (darker is more intense) for the four fundamental modes of parallel waveguides (periodicity a, radius 0.3a, separation s/a = 0.05) cut along y = 0 and y = 0.47a at kx = 0.98π/a. Arrows and colors of all the figures share the same normalization.

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

F U = A Δ ε 2 ( | E | | | 2 + 1 ε 1 ε 2 | D | 2 ) n d A V ε | E | 2 d V ,

Metrics