An accurate envelope equation for light propagation in photonic nanowires: New nonlinear effects

Optics Express

Volumn 17, Issue 20, 2009, Pages 17934-17949

  Tran, Truong X ^a   Biancalana, Fabio ^a  

^a MAX PLANCK INSTITUTE FOR THE SCIENCE OF LIGHT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELDS; LIGHT PROPAGATION; NANOWIRES;

CORE DIAMETERS; ENVELOPE EQUATIONS; EVOLUTION EQUATIONS; NONLINEAR EFFECT; PHOTONIC NANOWIRES; SOLITON PROPAGATION; SUB-WAVELENGTH; VECTOR NATURE;

NONLINEAR EQUATIONS;

NANOTUBE;

ARTICLE; COMPUTER SIMULATION; LIGHT; METHODOLOGY; NONLINEAR SYSTEM; PHOTON; RADIATION SCATTERING; REFRACTOMETRY; THEORETICAL MODEL;

COMPUTER SIMULATION; LIGHT; MODELS, THEORETICAL; NANOTUBES; NONLINEAR DYNAMICS; PHOTONS; REFRACTOMETRY; SCATTERING, RADIATION;

EID: 70349662478     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.017934     Document Type: Article

References (34)

1. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic Press, San Diego, 2007).
2. A. Taflove and S. C. Hagness, Computational Electrodynamics, 3rd ed. (Artech House, London, 2005).
3. A. Hasegawa and Y. Kodama, "Nonlinear pulse propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).
4. F. Biancalana, D. V. Skryabin, and P. St. J. Russell, "Four-wave mixing instabilities in photonic crystal and tapered fibers," Phys. Rev. E 68, 046603 (2003).
5. J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11, 662-664 (1986).
6. A. L. Gaeta, "Nonlinear propagation and continuum generation in microstructured optical fibers," Opt. Lett. 27, 924-926 (2002).
7. K. Shi, F. G. Omenetto, and Z. Liu, "Supercontinuum generation in an imaging fiber taper," Opt. Express 14, 12359-12364 (2006);
8. C. M. B. Cordeiro, W. J. Wadsworth, T. A. Birks, P. St. J. Russell, "Engineering the dispersion of tapered fibers for supercontinuum generation with a 1064 nm pump laser," Opt. Lett. 30, 1980- 1982 (2005).
9. P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
10. J. M. Dudley, G. Genty and S. Coen, "Supercontinuum generation in photonic crystal fibers," Rev. Mod. Phys. 78, 1135-1184 (2006).
11. N. Akhmediev and M. Karlsson, "Cherenkov radiation emitted by solitons in optical fibers," Phys. Rev. A 51, 2602-2607 (1995).
12. D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancellation in photonic crystal fibers," Science 301, 1705-1707 (2003).
13. F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).
14. T. Brabec and F. Krausz, "Nonlinear optical pulse propagation in the single-cycle regime," Phys. Rev. Lett. 78, 3282-3285 (1997).
15. T. G. Euser, J. S. Y. Chen, M. Scharrer, P. St. J. Russell, N. J. Farrer and P. J. Sadler, "Quantitative broadband chemical sensing in air-suspended solid-core fibers," J. Appl. Phys. 103, 103108 (2008).
16. F. Benabid, F. Biancalana, P. S. Light, F. Couny, A. Luiten, P. J. Roberts, J. Peng, A. V. Sokolov, "Fourth-order dispersion mediated solitonic radiations in HC-PCF cladding," Opt. Lett. 33, 2680-2682 (2008).
17. S. Afshar V. and T. M. Monro, "A full vectorial model for pulse propagation in emerging waveguides with sub- wavelength structures part I: Kerr nonlinearity," Opt. Express 17, 2298-2318 (2009).
18. M. D. Turner, T. M. Monro and S. Afshar V., "A full vectorial model for pulse propagation in emerging waveguides with sub-wavelength structures part II: Stimulated Raman Scattering," Opt. Express 17, 11565-11581 (2009).
19. M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, "Nonlinear optics in photonic nanowires," Opt. Express 16, 1300-1320 (2008).
20. M. A. Foster, K. D. Moll, and A. L. Gaeta, "Optimal waveguide dimensions for nonlinear interactions," Opt. Express 12, 2880-2887 (2004).
21. A. Zheltikov, "Gaussian-mode analysis of waveguide-enhanced Kerr-type nonlinearity of optical fibers and photonic wires," J. Opt. Soc. Am. B 22, 1100-1104 (2005).
22. S. Afshar V., W. Zhang and T. M. Monro, "Experimental confirmation of a generalized definition of the effective nonlinear coefficient in emerging waveguides with sub-wavelength structures," CThBB6, CLEO Conference, Baltimore, USA (2009).
23. P. V. Mamyshev and S. V. Chernikov, "Ultrashort-pulse propagation in optical fibers," Opt. Lett. 15, 1076-1078 (1990).
24. M. Kolesik and J. V. Moloney, "Nonlinear optical pulse propagation simulation: From Maxwell's to unidirectional equations," Phys. Rev. E 70, 036604 (2004);
25. M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers," Appl. Phys. B 79, 293-300 (2004).
26. J. Ljegsgaard, "Mode profile dispersion in the generalised nonlinear Schrdinger equation," Opt. Express 15, 16110-16123 (2007).
27. J. D. Jackson, Classical Electrodynamics (Wiley & Sons, New York, 1998).
28. A. W. Snyder and J. Love, Optical Waveguide Theory (Kluwer, Boston, 1983).
29. B. Kibler, J. M. Dudley, S. Coen, "Supercontinuum generation and nonlinear pulse propagation in photonic crystal fiber: influence of the frequency-dependent effective mode area," Appl. Phys. B 81, 337-342 (2005). (Pubitemid 41118910)
30. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic Press, San Diego, 2008).
31. R. W. Hellwarth, "Third-order optical susceptibilities of liquids ans solids," Prog. Quantum Electron. 5, 1-68 (1977).
32. F. Poletti and P. Horak, "Description of ultrashort pulse propagation in multimode optical fibers," J. Opt. Soc. Am. B 25, 1645-1654 (2008).
33. J. Santhanam and G. P. Agrawal, "Raman-induced spectral shifts in optical fibers: general theory based on the moment method," Opt. Commun. 222, 413-420 (2003).
34. F. Biancalana and Tr. X. Tran, in preparation.