Abstract

Optical analogs of coherent vibrational phenomena in molecules, such as light-induced molecular stabilization and wave packet dynamics at a potential crossing, are proposed for light beams in coupled slab waveguides.

© 2009 Optical Society of America

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  1. S. Longhi, Laser Photonics Rev. 3, 243 (2009).
    [CrossRef]
  2. S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
    [CrossRef] [PubMed]
  3. U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
    [CrossRef]
  4. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
    [CrossRef] [PubMed]
  5. S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
    [CrossRef] [PubMed]
  6. S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101(R) (2007).
    [CrossRef]
  7. Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
    [CrossRef] [PubMed]
  8. P. Biagioni, G. Della Valle, M. Ornigotti, M. Finazzi, L. Duò, P. Laporta, and S. Longhi, Opt. Express 16, 3762 (2008).
    [CrossRef] [PubMed]
  9. B. M. Garraway and K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995).
    [CrossRef]
  10. J. A. Yeazell and T. Uze, The Physics and Chemistry of Wave-Packets (Wiley, 2000).
  11. J. H. Posthumus, Rep. Prog. Phys. 67, 623 (2004).
    [CrossRef]
  12. K.-A. Suominen and B. M. Garraway, Phys. Rev. A 48, 3811 (1993).
    [CrossRef] [PubMed]
  13. A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
    [CrossRef]
  14. C. Wunderlich, H. Figger, and T. W. Hänsch, Chem. Phys. Lett. 256, 43 (1996).
    [CrossRef]
  15. L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
    [CrossRef]

2009

S. Longhi, Laser Photonics Rev. 3, 243 (2009).
[CrossRef]

2008

P. Biagioni, G. Della Valle, M. Ornigotti, M. Finazzi, L. Duò, P. Laporta, and S. Longhi, Opt. Express 16, 3762 (2008).
[CrossRef] [PubMed]

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

2007

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101(R) (2007).
[CrossRef]

2006

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

2005

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

2004

J. H. Posthumus, Rep. Prog. Phys. 67, 623 (2004).
[CrossRef]

2003

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

2000

J. A. Yeazell and T. Uze, The Physics and Chemistry of Wave-Packets (Wiley, 2000).

1999

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

1998

1996

C. Wunderlich, H. Figger, and T. W. Hänsch, Chem. Phys. Lett. 256, 43 (1996).
[CrossRef]

1995

B. M. Garraway and K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995).
[CrossRef]

1993

K.-A. Suominen and B. M. Garraway, Phys. Rev. A 48, 3811 (1993).
[CrossRef] [PubMed]

Biagioni, P.

Bräuer, A.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Christodoulides, D. N.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Cianci, E.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Codling, K.

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Della Valle, G.

Duò, L.

Eisenberg, H. S.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

Figger, H.

C. Wunderlich, H. Figger, and T. W. Hänsch, Chem. Phys. Lett. 256, 43 (1996).
[CrossRef]

Finazzi, M.

Foglietti, V.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Frasinski, L. J.

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Garraway, B. M.

B. M. Garraway and K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995).
[CrossRef]

K.-A. Suominen and B. M. Garraway, Phys. Rev. A 48, 3811 (1993).
[CrossRef] [PubMed]

Hänsch, T. W.

C. Wunderlich, H. Figger, and T. W. Hänsch, Chem. Phys. Lett. 256, 43 (1996).
[CrossRef]

Janner, D.

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Kivshar, Y. S.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

Lahini, Y.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Langley, A. J.

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Laporta, P.

P. Biagioni, G. Della Valle, M. Ornigotti, M. Finazzi, L. Duò, P. Laporta, and S. Longhi, Opt. Express 16, 3762 (2008).
[CrossRef] [PubMed]

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101(R) (2007).
[CrossRef]

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Lederer, F.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

Lobino, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

Longhi, S.

S. Longhi, Laser Photonics Rev. 3, 243 (2009).
[CrossRef]

P. Biagioni, G. Della Valle, M. Ornigotti, M. Finazzi, L. Duò, P. Laporta, and S. Longhi, Opt. Express 16, 3762 (2008).
[CrossRef] [PubMed]

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101(R) (2007).
[CrossRef]

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Marangoni, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Michaelis, D.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Morandotti, R.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Ornigotti, M.

Pertsch, T.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

Peschel, U.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

Plumridge, J.

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Posthumus, J. H.

J. H. Posthumus, Rep. Prog. Phys. 67, 623 (2004).
[CrossRef]

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Pozzi, F.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Ramponi, R.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

Silberberg, Y.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

Sorel, M.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Streppel, U.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Sukhorukov, A. A.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

Suominen, K. -A.

B. M. Garraway and K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995).
[CrossRef]

K.-A. Suominen and B. M. Garraway, Phys. Rev. A 48, 3811 (1993).
[CrossRef] [PubMed]

Taday, P. F.

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Trompeter, H.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Uze, T.

J. A. Yeazell and T. Uze, The Physics and Chemistry of Wave-Packets (Wiley, 2000).

Wunderlich, C.

C. Wunderlich, H. Figger, and T. W. Hänsch, Chem. Phys. Lett. 256, 43 (1996).
[CrossRef]

Yeazell, J. A.

J. A. Yeazell and T. Uze, The Physics and Chemistry of Wave-Packets (Wiley, 2000).

Chem. Phys. Lett.

C. Wunderlich, H. Figger, and T. W. Hänsch, Chem. Phys. Lett. 256, 43 (1996).
[CrossRef]

IEEE J. Quantum Electron.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

Laser Photonics Rev.

S. Longhi, Laser Photonics Rev. 3, 243 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

K.-A. Suominen and B. M. Garraway, Phys. Rev. A 48, 3811 (1993).
[CrossRef] [PubMed]

Phys. Rev. B

S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101(R) (2007).
[CrossRef]

Phys. Rev. Lett.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, D. Janner, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 94, 073002 (2005).
[CrossRef] [PubMed]

L. J. Frasinski, J. H. Posthumus, J. Plumridge, K. Codling, P. F. Taday, and A. J. Langley, Phys. Rev. Lett. 83, 3625 (1999).
[CrossRef]

Rep. Prog. Phys.

J. H. Posthumus, Rep. Prog. Phys. 67, 623 (2004).
[CrossRef]

B. M. Garraway and K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995).
[CrossRef]

Other

J. A. Yeazell and T. Uze, The Physics and Chemistry of Wave-Packets (Wiley, 2000).

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic of a two-slab optical waveguide structure. (b) Nuclear potential energy diagram of a diatomic molecule interacting with two laser fields. (c) Schematic of wave packet splitting at a linear potential energy crossing.

Fig. 2
Fig. 2

(a) Refractive index of the slab waveguide structure that mimics the molecular energy diagram of Fig. 1b. The inset shows the elliptical Gaussian beam that excites guide S 2 at x = x 1 . (b)–(d) Evolution of light distributions | ψ 1 ( x , z ) | 2 (right panels) and | ψ 2 ( x , z ) | 2 (left panels) for decreasing values of waveguide separation d: (b) d = 12 μ m , (c) d = 9 μ m , (d) d = 8 μ m . Other parameters are λ = 633   nm , n s = 1.42 .

Fig. 3
Fig. 3

Wave packet dynamics at a potential crossing. (a) Refractive index of the slab waveguides that mimics the potential crossing of Fig. 1c. (b) Path followed by the center of mass of wave packet ψ 1 (solid curve). The shaded area shows beam spreading. The insets show the evolution of fractional beam power P 1 (bottom) and speed v (top) of wave packet ψ 1 .

Equations (3)

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

i z ψ = [ 2 / ( 2 n s ) ] t 2 ψ + [ n s n ( x , y ) ] ψ ,
ψ ( x , y , z ) = [ ψ 1 ( x , z ) q 1 ( y d / 2 ; x ) + ψ 2 ( x , z ) q 2 ( y + d / 2 ; x ) ] exp ( i W 0 z / ) + O ( ϵ 2 ) ,
i z ψ 1 , 2 = [ 2 / ( 2 n s ) ] x 2 ψ 1 , 2 + U 1 , 2 ( x ) ψ 1 , 2 + κ ( x ) ψ 2 , 1 .

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