Abstract

We study the propagation of femtosecond pulses in nonlinear metal-dielectric plasmonic waveguiding structures by employing the finite-difference time-domain numerical method. Self-focusing of plasmon pulses is observed for defocusing Kerr-like nonlinearity of the dielectric medium due to normal dispersion. We compare the nonlinear propagation of plasmon pulses along a single metal-dielectric interface with the propagation within a metal-dielectric-metal slot waveguide and observe that nonlinear effects are more pronounced for the single surface where longer propagation length may compensate for lower field confinement.

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  1. Plasmonic Nanoguides and Circuits, Ed. S.I. Bozhevolnyi (Pan Stanford Publ, Singapore2009).
  2. A.G. Litvak and V.A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Radiophys. Quant. Electron.11, 1096–1101 (1968).
    [CrossRef]
  3. V.M. Agranovich, V.S. Babichenko, and V.Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett.32, 512–515 (1980) [In Russian: Pisma JETF 32, 532–535 (1980)].
  4. G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
    [CrossRef]
  5. A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
    [CrossRef] [PubMed]
  6. J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
    [CrossRef]
  7. A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
    [CrossRef]
  8. E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett.32, 674–676 (2007).
    [CrossRef] [PubMed]
  9. A.R. Davoyan, I.V. Shadrivov, and Yu.S. Kivshar, “Self-focusing and spatial plasmon-polariton solitons,” Opt. Express17, 21732–21737 (2009).
    [CrossRef] [PubMed]
  10. A. Marini, D. Skryabin, and B. Malomed, “Stable spatial plasmon solitons in a dielectric-metal-dielectric geometry with gain and loss,” Opt. Express19, 6616–6622 (2011).
    [CrossRef] [PubMed]
  11. Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003), 540pp.
  12. S.O. Demokritov, B. Hillebrands, and A.N. Slavin, “Brillouin light scattering studies of confined spin waves: linear and nonlinear confinment,” Phys. Rep.348, 441–489 (2001).
    [CrossRef]
  13. O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
    [CrossRef]
  14. P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B6, 4370–4379 (1972).
    [CrossRef]
  15. A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston2005).
  16. I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Yu. S. Kivshar, “Comparative study of FDTD-adopted numerical algorithms for Kerr nonlinearities,” IEEE Antennas Wireless Propag. Lett.10, 143–146 (2011).
    [CrossRef]
  17. Z.L. Sámson, P. Horak, K.F. MacDonald, and N.I. Zheludev, “Femtosecond surface plasmon pulse propagation,” Opt. Lett.36, 250–252 (2011).
    [CrossRef] [PubMed]
  18. M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
    [CrossRef]
  19. A. Pusch, J. M. Hamm, and O. Hess, “Controllable interaction of counterpropagating solitons in three-level media,” Phys. Rev. A82, 023805 (2010).
    [CrossRef]
  20. A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
    [CrossRef] [PubMed]

2011

2010

M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
[CrossRef]

A. Pusch, J. M. Hamm, and O. Hess, “Controllable interaction of counterpropagating solitons in three-level media,” Phys. Rev. A82, 023805 (2010).
[CrossRef]

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

2009

2007

2001

S.O. Demokritov, B. Hillebrands, and A.N. Slavin, “Brillouin light scattering studies of confined spin waves: linear and nonlinear confinment,” Phys. Rep.348, 441–489 (2001).
[CrossRef]

2000

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

1987

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

1986

A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
[CrossRef]

1985

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

1980

V.M. Agranovich, V.S. Babichenko, and V.Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett.32, 512–515 (1980) [In Russian: Pisma JETF 32, 532–535 (1980)].

1972

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B6, 4370–4379 (1972).
[CrossRef]

1968

A.G. Litvak and V.A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Radiophys. Quant. Electron.11, 1096–1101 (1968).
[CrossRef]

Agranovich, V.M.

V.M. Agranovich, V.S. Babichenko, and V.Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett.32, 512–515 (1980) [In Russian: Pisma JETF 32, 532–535 (1980)].

Agrawal, G.P.

Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003), 540pp.

Ariyasu, J.

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

Babichenko, V.S.

V.M. Agranovich, V.S. Babichenko, and V.Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett.32, 512–515 (1980) [In Russian: Pisma JETF 32, 532–535 (1980)].

Bauer, M.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Belic, M. R.

M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
[CrossRef]

Boardman, A.D.

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
[CrossRef]

Büttner, O.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Chernyak, V.Ya.

V.M. Agranovich, V.S. Babichenko, and V.Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett.32, 512–515 (1980) [In Russian: Pisma JETF 32, 532–535 (1980)].

Christy, R.W.

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B6, 4370–4379 (1972).
[CrossRef]

Cooper, G.S.

A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
[CrossRef]

Davoyan, A. R.

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

Davoyan, A.R.

Demokritov, S. O.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Demokritov, S.O.

S.O. Demokritov, B. Hillebrands, and A.N. Slavin, “Brillouin light scattering studies of confined spin waves: linear and nonlinear confinment,” Phys. Rep.348, 441–489 (2001).
[CrossRef]

Denz, C.

M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
[CrossRef]

Feigenbaum, E.

Gramotnev, D. K.

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

Grimalsky, V.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Hagness, S.C.

A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston2005).

Hamm, J. M.

A. Pusch, J. M. Hamm, and O. Hess, “Controllable interaction of counterpropagating solitons in three-level media,” Phys. Rev. A82, 023805 (2010).
[CrossRef]

Hess, O.

A. Pusch, J. M. Hamm, and O. Hess, “Controllable interaction of counterpropagating solitons in three-level media,” Phys. Rev. A82, 023805 (2010).
[CrossRef]

Hillebrands, B.

S.O. Demokritov, B. Hillebrands, and A.N. Slavin, “Brillouin light scattering studies of confined spin waves: linear and nonlinear confinment,” Phys. Rep.348, 441–489 (2001).
[CrossRef]

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Horak, P.

Johnson, P.B.

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B6, 4370–4379 (1972).
[CrossRef]

Kivshar, Yu. S.

I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Yu. S. Kivshar, “Comparative study of FDTD-adopted numerical algorithms for Kerr nonlinearities,” IEEE Antennas Wireless Propag. Lett.10, 143–146 (2011).
[CrossRef]

M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
[CrossRef]

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

Kivshar, Yu.S.

A.R. Davoyan, I.V. Shadrivov, and Yu.S. Kivshar, “Self-focusing and spatial plasmon-polariton solitons,” Opt. Express17, 21732–21737 (2009).
[CrossRef] [PubMed]

Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003), 540pp.

Kivshar, Yuri S.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Lavrinenko, A. V.

I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Yu. S. Kivshar, “Comparative study of FDTD-adopted numerical algorithms for Kerr nonlinearities,” IEEE Antennas Wireless Propag. Lett.10, 143–146 (2011).
[CrossRef]

Litvak, A.G.

A.G. Litvak and V.A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Radiophys. Quant. Electron.11, 1096–1101 (1968).
[CrossRef]

MacDonald, K.F.

Maksymov, I. S.

I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Yu. S. Kivshar, “Comparative study of FDTD-adopted numerical algorithms for Kerr nonlinearities,” IEEE Antennas Wireless Propag. Lett.10, 143–146 (2011).
[CrossRef]

Malomed, B.

Maradudin, A.A.

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
[CrossRef]

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

Marini, A.

Mironov, V.A.

A.G. Litvak and V.A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Radiophys. Quant. Electron.11, 1096–1101 (1968).
[CrossRef]

Orenstein, M.

Petrovic, M. S.

M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
[CrossRef]

Pusch, A.

A. Pusch, J. M. Hamm, and O. Hess, “Controllable interaction of counterpropagating solitons in three-level media,” Phys. Rev. A82, 023805 (2010).
[CrossRef]

Rapoport, Yu.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Sámson, Z.L.

Seaton, C.T.

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

Shadrivov, I. V.

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

Shadrivov, I.V.

Shen, T.P.

A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
[CrossRef]

Skryabin, D.

Slavin, A. N.

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

Slavin, A.N.

S.O. Demokritov, B. Hillebrands, and A.N. Slavin, “Brillouin light scattering studies of confined spin waves: linear and nonlinear confinment,” Phys. Rep.348, 441–489 (2001).
[CrossRef]

Stegeman, G.I.

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

Sukhorukov, A. A.

I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Yu. S. Kivshar, “Comparative study of FDTD-adopted numerical algorithms for Kerr nonlinearities,” IEEE Antennas Wireless Propag. Lett.10, 143–146 (2011).
[CrossRef]

Taflove, A.

A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston2005).

Twardowski, T.

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

Wallis, R.F.

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

Wright, E.M.

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

Zharov, A. A.

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

Zheludev, N.I.

IEEE Antennas Wireless Propag. Lett.

I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Yu. S. Kivshar, “Comparative study of FDTD-adopted numerical algorithms for Kerr nonlinearities,” IEEE Antennas Wireless Propag. Lett.10, 143–146 (2011).
[CrossRef]

J. Appl. Phys.

J. Ariyasu, C.T. Seaton, G.I. Stegeman, A.A. Maradudin, and R.F. Wallis, “Nonlinear surface polaritons guided by metal films,” J. Appl. Phys.58, 2460–2466 (1985).
[CrossRef]

G.I. Stegeman, C.T. Seaton, J. Ariyasu, R.F. Wallis, and A.A. Maradudin, “Nonlinear electromagnetic waves guided by a single interface,” J. Appl. Phys.58, 2453–2459 (1985).
[CrossRef]

Laser Photonics Rev.

M. S. Petrovic, M. R. Belic, C. Denz, and Yu. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photonics Rev.5, 214–233 (2010).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rep.

S.O. Demokritov, B. Hillebrands, and A.N. Slavin, “Brillouin light scattering studies of confined spin waves: linear and nonlinear confinment,” Phys. Rep.348, 441–489 (2001).
[CrossRef]

Phys. Rev. A

A.D. Boardman, A.A. Maradudin, G.I. Stegeman, T. Twardowski, and E.M. Wright, “Exact theory of nonlinear p-polarized optical waves,” Phys. Rev. A35, 1159–1164 (1987).
[CrossRef] [PubMed]

A. Pusch, J. M. Hamm, and O. Hess, “Controllable interaction of counterpropagating solitons in three-level media,” Phys. Rev. A82, 023805 (2010).
[CrossRef]

Phys. Rev. B

A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986).
[CrossRef]

O. Büttner, M. Bauer, S. O. Demokritov, B. Hillebrands, Yuri S. Kivshar, V. Grimalsky, Yu. Rapoport, and A. N. Slavin, “Linear and nonlinear diffraction of dipolar spin waves in yttrium iron garnet films observed by space-and time-resolved Brillouin light scattering,” Phys. Rev. B61, 11576–11587 (2000).
[CrossRef]

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B6, 4370–4379 (1972).
[CrossRef]

Phys. Rev. Lett.

A. R. Davoyan, I. V. Shadrivov, A. A. Zharov, D. K. Gramotnev, and Yu. S. Kivshar, “Nonlinear nanofocusing in tapered plasmonic waveguides,” Phys. Rev. Lett.105, 116804 (2010).
[CrossRef] [PubMed]

Radiophys. Quant. Electron.

A.G. Litvak and V.A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Radiophys. Quant. Electron.11, 1096–1101 (1968).
[CrossRef]

Sov. Phys. JETP Lett.

V.M. Agranovich, V.S. Babichenko, and V.Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett.32, 512–515 (1980) [In Russian: Pisma JETF 32, 532–535 (1980)].

Other

A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston2005).

Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003), 540pp.

Plasmonic Nanoguides and Circuits, Ed. S.I. Bozhevolnyi (Pan Stanford Publ, Singapore2009).

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Figures (4)

Fig. 1
Fig. 1

Schematic of the pulse propagation along (a) metal-dielectric interface and in (b) metal-dielectric-metal slot waveguide. (c,d) Pulse profiles shown as squared magnetic field carried by the pulses.

Fig. 2
Fig. 2

Schematic of pulse propagation in (a) nonlinear and (b) linear case. The pulse energy always decreases during propagation. In the nonlinear case (a), the pulse width w first decreases before a linear propagation regime is reached, and then it increases again. In the linear regime (b), a steady increase of the pulse duration is observed.

Fig. 3
Fig. 3

Evolution of the pulse widths for Gaussian pulses with propagation distance for (a) single interface for the nonlinear (red triangles) and linear (black circles) dielectrics, and (b) in the slot waveguide with nonlinear (red triangles) and linear (black circles) dielectrics in the slot. The maximum nonlinear change of the dielectric permittivity at x = 0 is found as δ ε max = ε N L E 0 2 = 0.03.

Fig. 4
Fig. 4

(a) Schematic of the nonlinear soliton collision. A pulse coming from the left (black line) collides with a quasi-CW excitation coming from the right (light blue line). Note that the CW excitation loses energy during propagation. (b) Maximum phase-shifts attainable for a pulse colliding with a CW excitation evaluated for various initial nonlinear permittivity changes δεmax due to the CW field. Black triangles denote the data for a single interface, and red diamonds – the data for the MDM slot waveguide.

Equations (6)

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E y x E x y = μ 0 H z t , H z y = ε 0 ε E x t , H z x = ε 0 ε E y t .
ε Ag ( ω ) = 1 ω p 2 ω 2 + i ω Γ ,
H ( x , y ) = { A exp ( i β x ) exp ( k d y ) , for y > 0 , A exp ( i β x ) exp ( k m y ) , for y < 0 .
β = k 0 ( ε m ε d ε m + ε d ) 1 / 2 ,
ε = { ε m , | y | > a / 2 ε d , | y | a / 2 ,
tanh ( k d a ) [ ε m 2 k d 2 + ε d 2 k m 2 ] + ε m ε d k d k m = 0 .

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