Dispersion of nonlinearity in subwavelength waveguides: Derivation of pulse propagation equation and frequency conversion effects

Journal of the Optical Society of America B: Optical Physics

Volumn 30, Issue 4, 2013, Pages 812-820

  Zhao, Xuesong ^a   Gorbach, Andrey V ^a   Skryabin, Dmitry V ^a  

^a University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); DISPERSIONS; FACTORIZATION; MAXWELL EQUATIONS; NONLINEAR EQUATIONS; OPTICAL WAVEGUIDES; REFRACTIVE INDEX; SEMICONDUCTOR DEVICES; WAVEGUIDES;

ASYMPTOTIC EXPANSION; HIGH REFRACTIVE INDEX CONTRASTS; MATERIAL DISPERSIONS; MODULATIONAL INSTABILITY; NONLINEAR COEFFICIENT; SEMICONDUCTOR WAVEGUIDE; SPECTRAL BROADENING; SUB-WAVELENGTH WAVEGUIDES;

CONTROL NONLINEARITIES;

EID: 84877630859     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.30.000812     Document Type: Article

References (23)

1. R. M. Osgood, Jr., N. C. Panoiu, J. I. Dadap, X. Liu, X. Chen, I.-W. Hsieh, E. Dulkeith, W. M. Green, and Y. A. Vlasov, "Engineering nonlinearities in nanoscale optical systems: physics and applications in dispersion-engineered silicon nanophotonic wires," Adv. Opt. Photon. 1, 162-235 (2009).
2. J. Leuthold, C. Koos, and W. Freude, "Nonlinear silicon photonics," Nat. Photonics 4, 535-544 (2010).
3. J. Meier, W. S. Mohammed, A. Jugessur, L. Qian, M. Mojahedi, and J. S. Aitchison, "Group velocity inversion in AlGaAs nanowires," Opt. Express 15, 12755-12762 (2007).
4. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).
5. Q. Lin, O. J. Painter, and G. P. Agrawal, "Nonlinear optical phenomena in silicon waveguides: modeling and applications," Opt. Express 15, 16604-16644 (2007).
6. A. V. Gorbach and D. V. Skryabin, "Spatial solitons in periodic nanostructures," Phys. Rev. A 79, 053812 (2009).
7. S. Afshar V. and T. M. Monro, "Afull vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity," Opt. Express 17, 2298-2318 (2009).
8. T. X. Tran and F. Biancalana, "An accurate envelope equation for light propagation in photonic nanowires: new nonlinear effects," Opt. Express 17, 17934-17949 (2009).
9. A. R. Davoyan, I. V. Shadrivov, and Y. S. Kivshar, "Self-focusing and spatial plasmon-polariton solitons," Opt. Express 17, 21732-21737 (2009).
10. D. V. Skryabin, A. V. Gorbach, and A. Marini, "Surface-induced nonlinearity enhancement of TM modes in planar subwavelength waveguides," J. Opt. Soc. Am. B 28, 109-114 (2011).
11. A. Marini, R. Hartley, A. V. Gorbach, and D. V. Skryabin, "Surface-induced nonlinearity enhancement in subwavelength rod waveguides," Phys. Rev. A 84, 063839 (2011).
12. N. C. Panoiu, X. Liu, and J. Osgood, "Self-steepening of ultrashort pulses in silicon photonic nanowires," Opt. Lett. 34, 947-949 (2009).
13. A. V. Gorbach, X. Zhao, and D. V. Skryabin, "Dispersion of nonlinearity and modulation instability in subwavelength semiconductor waveguides," Opt. Express 19, 9345-9351 (2011).
14. P. Kinsler and G. H. C. New, "Few-cycle soliton propagation," Phys. Rev. A 69, 013805 (2004).
15. S. Amiranashvili, U. Bandelow, and N. Akhmediev, "Dispersion of nonlinear group velocity determines shortest envelope solitons," Phys. Rev. A 84, 043834 (2011).
16. Z. Xu, B. Maes, X. Jiang, J. D. Joannopoulos, L. Torner, and M. Soljacić, "Nonlinear photonic crystals near the supercollimation point," Opt. Lett. 33, 1762-1764 (2008).
17. Y. Xiang, S. Wen, X. Dai, Z. Tang, W. Su, and D. Fan, "Modulation instability induced by nonlinear dispersion in nonlinear metamaterials," J. Opt. Soc. Am. B 24, 3058-3063 (2007).
18. J. Gomez-Gardeñes, B. A. Malomed, L. M. Flora, and A. R. Bishop, "Solitons in the Salerno model with competing nonlinearities," Phys. Rev. E 73, 036608 (2006).
19. W. Ding, O. K. Staines, G. D. Hobbs, A. V. Gorbach, C. de Nobriga, W. J. Wadsworth, J. C. Knight, D. V. Skryabin, M. J. Strain, and M. Sorel, "Modulational instability in a silicon-on-insulator directional coupler: role of the couplinginduced group velocity dispersion," Opt. Lett. 37, 668-670 (2012).
20. D. V. Skryabin and A. V. Gorbach, "Looking at a soliton through the prism of optical supercontinuum," Rev. Mod. Phys. 82, 1287-1299 (2010).
21. I.-W. Hsieh, X. Chen, X. Liu, J. I. Dadap, N. C. Panoiu, C.-Y. Chou, F. Xia, W. M. Green, Y. A. Vlasov, and R. M. Osgood, "Supercontinuum generation in silicon photonic wires," Opt. Express 15, 15242-15249 (2007).
22. A. V. Gorbach, W. Ding, O. K. Staines, C. E. de Nobriga, G. D. Hobbs, W. J. Wadsworth, J. C. Knight, D. V. Skryabin, A. Samarelli, M. Sorel, and R. M. De La Rue, "Spatiotemporal nonlinear optics in arrays of subwavelength waveguides," Phys. Rev. A 82, 041802 (2010).
23. Q. Lin, J. Zhang, G. Piredda, R. W. Boyd, P. M. Fauchet, and G. P. Agrawal, "Dispersion of silicon nonlinearities in the near infrared region," Appl. Phys. Lett. 91, 21111 (2007).