Self-focusing of femtosecond surface plasmon polaritons |
Optics Express, Vol. 21, Issue 1, pp. 1121-1127 (2013)
http://dx.doi.org/10.1364/OE.21.001121
Acrobat PDF (1350 KB)
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.
© 2013 OSA
1. Introduction
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]
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. A 35, 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. B 34, 8273–8278 (1986). [CrossRef]
8. E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett. 32, 674–676 (2007). [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. Express 19, 6616–6622 (2011). [CrossRef] [PubMed]
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. B 61, 11576–11587 (2000). [CrossRef]
2. Methods
14. P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972). [CrossRef]
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]
3. Results
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. A 82, 023805 (2010). [CrossRef]
4. Conclusions
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]
Acknowledgments
References and links
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. A 35, 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. B 34, 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. Express 17, 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. Express 19, 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. B 61, 11576–11587 (2000). [CrossRef] |
14. | P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 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. A 82, 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] |
OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(240.6680) Optics at surfaces : Surface plasmons
ToC Category:
Nonlinear Optics
History
Original Manuscript: September 11, 2012
Revised Manuscript: October 12, 2012
Manuscript Accepted: October 13, 2012
Published: January 10, 2013
Citation
Andreas Pusch, Ilya V. Shadrivov, Ortwin Hess, and Yuri S. Kivshar, "Self-focusing of femtosecond surface plasmon polaritons," Opt. Express 21, 1121-1127 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-1-1121
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References
- Plasmonic Nanoguides and Circuits, Ed. S.I. Bozhevolnyi (Pan Stanford Publ, Singapore2009).
- A.G. Litvak and V.A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Radiophys. Quant. Electron.11, 1096–1101 (1968). [CrossRef]
- 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)].
- 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]
- 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]
- A.D. Boardman, G.S. Cooper, A.A. Maradudin, and T.P. Shen, “Surface-polariton solitons,” Phys. Rev. B34, 8273–8278 (1986). [CrossRef]
- E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett.32, 674–676 (2007). [CrossRef] [PubMed]
- A.R. Davoyan, I.V. Shadrivov, and Yu.S. Kivshar, “Self-focusing and spatial plasmon-polariton solitons,” Opt. Express17, 21732–21737 (2009). [CrossRef] [PubMed]
- 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]
- Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003), 540pp.
- 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]
- P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B6, 4370–4379 (1972). [CrossRef]
- A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston2005).
- 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]
- 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]
- 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]
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