Self-focusing and spatial plasmon-polariton solitons
Optics Express, Vol. 17, Issue 24, pp. 21732-21737 (2009)
http://dx.doi.org/10.1364/OE.17.021732
Acrobat PDF (186 KB)
Abstract
We study nonlinear propagation of surface plasmon polaritons along an interface between metal and nonlinear Kerr dielectric. We demonstrate numerically self-focusing of a plasmon beam at large powers and the formation of slowly decaying spatial soliton in the presence of losses. We develop an analytical model for describing the evolution of spatial plasmon-solitons and observe a good agreement with numerical results.
© 2009 Optical Society of America
1. Introduction
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]
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. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, “Nonlinear plasmonic slot waveguides,” Opt. Express 16, 21209–21214 ( 2008). [CrossRef] [PubMed]
8. A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, “Nonlinear plasmonic slot waveguides: erratum,” Opt. Express 17, 4833–4833 ( 2009). [CrossRef]
9. A. D. Boardman, G. S. Cooper, A. A. Maradudin, and T. P. Shen, “Surface-polariton solitons,” Phys. Rev. B 34, 8273–8278 ( 1986). [CrossRef]
10. E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett. 32, 674–676 ( 2007). [CrossRef] [PubMed]
2. Geometry and theoretical analysis
11. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University Press, Cambridge2002). [PubMed]
12. B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 ( 1991). [CrossRef]
12. B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 ( 1991). [CrossRef]
10. E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett. 32, 674–676 ( 2007). [CrossRef] [PubMed]
3. Numerical FDTD simulations
14. M. Asobe, T. Kanamori, and K. Kubodera, “Applications of highly nonlinear chalcogenite glass fibers in ultrafast all optical switches,” IEEE J. Quantum Electron. 29, 2325–2333 ( 1993). [CrossRef]
15. P. B. Johnson and R. W. Christy, “Optical constants of nobel metals,” Phys. Rev. B 6, 4370–4379 ( 1972). [CrossRef]
10. E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett. 32, 674–676 ( 2007). [CrossRef] [PubMed]
16. Yo. Lui, G. Bartal, D. A. Genov, and X. Zhang, “Subwavelength discrete solitons in nonlinear metamaterials,” Phys. Rev. Lett. 99, 153901 ( 2007). [CrossRef]
17. L. Brzozowski, E. H. Sargent, A. S. Thorpe, and M. Extavour, “Direct measurements of large near-band edge nonlinear index change from 1.48 to 1.55 µ m in InGaAs/InAlGaAs multiquantum wells,” Appl. Phys. Lett. 82, 4429–4431 ( 2003). [CrossRef]
18. 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]
4. Conclusions
References and links
1. | S. A. Maier, Plasmonics: Fundamentals and Applications (Springer-Verlag, Berlin2007). |
2. | Plasmonic Nanoguides and Circuits, Ed. S.I. Bozhevolnyi (Pan Stanford Publ, Singapore2009). |
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. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, “Nonlinear plasmonic slot waveguides,” Opt. Express 16, 21209–21214 ( 2008). [CrossRef] [PubMed] |
8. | A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, “Nonlinear plasmonic slot waveguides: erratum,” Opt. Express 17, 4833–4833 ( 2009). [CrossRef] |
9. | A. D. Boardman, G. S. Cooper, A. A. Maradudin, and T. P. Shen, “Surface-polariton solitons,” Phys. Rev. B 34, 8273–8278 ( 1986). [CrossRef] |
10. | E. Feigenbaum and M. Orenstein, “Plasmon-soliton,” Opt. Lett. 32, 674–676 ( 2007). [CrossRef] [PubMed] |
11. | M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University Press, Cambridge2002). [PubMed] |
12. | B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 ( 1991). [CrossRef] |
13. | Yu. S. Kivshar and G. P. Agrawal, Optical Solitons. From Fibers to Photonic Crystals (Elsevier Science, USA, 2003). |
14. | M. Asobe, T. Kanamori, and K. Kubodera, “Applications of highly nonlinear chalcogenite glass fibers in ultrafast all optical switches,” IEEE J. Quantum Electron. 29, 2325–2333 ( 1993). [CrossRef] |
15. | P. B. Johnson and R. W. Christy, “Optical constants of nobel metals,” Phys. Rev. B 6, 4370–4379 ( 1972). [CrossRef] |
16. | Yo. Lui, G. Bartal, D. A. Genov, and X. Zhang, “Subwavelength discrete solitons in nonlinear metamaterials,” Phys. Rev. Lett. 99, 153901 ( 2007). [CrossRef] |
17. | L. Brzozowski, E. H. Sargent, A. S. Thorpe, and M. Extavour, “Direct measurements of large near-band edge nonlinear index change from 1.48 to 1.55 µ m in InGaAs/InAlGaAs multiquantum wells,” Appl. Phys. Lett. 82, 4429–4431 ( 2003). [CrossRef] |
18. | 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] |
19. | K. OkamotoFundamentals and Applications of Optical Waveguides (Academic Press, 2000). |
OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(240.6680) Optics at surfaces : Surface plasmons
ToC Category:
Nonlinear Optics
History
Original Manuscript: August 24, 2009
Revised Manuscript: October 30, 2009
Manuscript Accepted: November 8, 2009
Published: November 12, 2009
Citation
Arthur R. Davoyan, Ilya V. Shadrivov, and Yuri S. Kivshar, "Self-focusing and spatial plasmon-polariton solitons," Opt. Express 17, 21732-21737 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-24-21732
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References
- S. A. Maier, Plasmonics: Fundamentals and Applications (Springer-Verlag, Berlin 2007).
- S. I. Bozhevolnyi, ed., Plasmonic Nanoguides and Circuits, (Pan Stanford Publication, Singapore 2009).
- 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. A 35, 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. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, "Nonlinear plasmonic slot waveguides," Opt. Express 16, 21209-21214 (2008). [CrossRef] [PubMed]
- A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, "Nonlinear plasmonic slot waveguides: erratum," Opt. Express 17, 4833-4833 (2009). [CrossRef]
- A. D. Boardman, G. S. Cooper, A. A. Maradudin, and T. P. Shen, "Surface-polariton solitons," Phys. Rev. B 34, 8273-8278 (1986). [CrossRef]
- E. Feigenbaum and M. Orenstein, "Plasmon-soliton," Opt. Lett. 32, 674-676 (2007). [CrossRef] [PubMed]
- M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University Press, Cambridge 2002). [PubMed]
- B. Prade, J. Y. Vinet, and A. Mysyrowicz, "Guided optical waves in planar heterostructures with negative dielectric constant," Phys. Rev. B 44, 13556-13572 (1991). [CrossRef]
- Yu. S. Kivshar and G. P. Agrawal, Optical Solitons. From Fibers to Photonic Crystals (Elsevier Science, USA, 2003).
- M. Asobe, T. Kanamori, and K. Kubodera, "Applications of highly nonlinear chalcogenite glass fibers in ultrafast all optical switches," IEEE J. Quantum Electron. 29, 2325-2333 (1993). [CrossRef]
- P. B. Johnson and R. W. Christy, "Optical constants of nobel metals," Phys. Rev. B 6, 4370-4379 (1972). [CrossRef]
- Yo . Lui, G . Bartal, D. A . Genov, and X . Zhang, "Subwavelength discrete solitons in nonlinear metamaterials," Phys. Rev. Lett. 99, 153901 (2007). [CrossRef]
- L. Brzozowski, E. H. Sargent, A. S. Thorpe, and M. Extavour, "Direct measurements of large near-band edge nonlinear index change from 1.48 to 1.55 μm in InGaAs/InAlGaAs multiquantum wells," Appl. Phys. Lett. 82, 4429-4431 (2003). [CrossRef]
- 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]
- K. Okamoto, Fundamentals and Applications of Optical Waveguides (Academic Press, 2000).
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