Gaussian-mode analysis of waveguide-enhanced Kerr-type nonlinearity of optical fibers and photonic wires

Journal of the Optical Society of America B: Optical Physics

Volumn 22, Issue 5, 2005, Pages 1100-1104

  Zheltikov, Aleksei ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUSED SILICA; GLASS FIBERS; INTEGRATION; NONLINEAR OPTICS; OPTICAL FIBERS; OPTICAL KERR EFFECT; REFRACTIVE INDEX; VECTORS;

GAUSSIAN MODE ANALYSIS; KERR TYPE NONLINEARITY; PHOTONIC WIRES;

OPTICAL WAVEGUIDES;

EID: 20544477373     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.22.001100     Document Type: Article

References (23)

1. X. Duan, Y. Huang, Y. Cui, J. Wang, and C. M. Lieber, "Indium phosphide nanowires as building blocks for nanoscale electronic and optoelectronic devices," Nature (London) 409, 66-69 (2001).
2. J. C. Johnson, H.-J. Choi, K. P. Knutsen, R. D. Schaller, P. Yang, and R. J. Saykally, "Single gallium nitride nanowire lasers," Nat. Mater. 1, 106-110 (2002).
3. P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
4. V. C. Sundar, A. D. Yablon, J. L. Grazul, M. Ilan, and J. Aizenberg, "Fibre-optical features of a glass sponge," Nature (London) 424, 899-900 (2003).
5. D. Akimov, M. Schmitt, R. Maksimenka, K. Dukel'skii, Y. Kondrat'ev, A. Kohkhlov, V. Shevandin, W. Kiefer, and A. M. Zheltikov, "Supercontinuum generation in a multiple-submicron-core microstructure fiber: toward limiting waveguide enhancement of nonlinear-optical processes," Appl. Phys. B: Lasers Opt. 77, 299-305 (2003).
6. D. A. Akimov, E. E. Serebryannikov, A. M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K. V. Dukel'skii, V. S. Shevandin, Yu. N. Kondrat'ev, "Efficient anti-Stokes generation through phase-matched four wave mixing in higher-order modes of a microstructure fiber," Opt. Lett. 28, 1948-1950 (2003).
7. S. O. Konorov and A. M. Zheltikov, "Frequency conversion of subnanojoule femtosecond laser pulses in a microstructare fiber for photochromism initiation," Opt. Express 11, 2440-2445 (2003), http://www.opticsexpress.org.
8. L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, "Subwavelength-diameter silica wires for low-loss optical wave guiding," Nature (London) 426, 816-819 (2003).
9. E. C. Mägi, P. Steinvurzel, and B. J. Eggleton, "Tapered photonic crystal fibers," Opt. Express 12, 776-784 (2004), http:// www.opticsexpress.org.
10. S. G. Leon-Saval, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, and M. W. Mason, "Supercontinuum generation in submicron fibre waveguides," Opt. Express 12, 2864-2869 (2004), http://www. opticsexpress.org.
11. Y. K. Lizé, E. C. Mägi, V. G. Ta'eed, J. A. Bolger, P. Steinvurzel, and B. J. Eggleton, "Microstructured optical fiber photonic wires with subwavelength core diameter," Opt. Express 12, 3209-3217 (2004), http://www.opticsexpress.org.
12. M. A. Foster and A. L. Gaeta, "Ultra-low threshold supercontinuum generation in sub-wavelength waveguides," Opt. Express 12, 3137-3143 (2004), http://www.opticsexpress.org.
13. P. Dumais, F. Gonthier, S. Lacroix, J. Bures, A. Villeneuve, P. G. J. Wigley, and G. I. Stegeman, "Enhanced self-phase modulation in tapered fibers," Opt. Lett. 18, 1996-1998 (1993).
14. A. M. Zheltikov, "The physical limit for the waveguide enhancement of nonlinear-optical processes," Opt. Spectrosc. 95, 410-415 (2003).
15. A. M. Zheltikov, "Limiting efficiencies of nonlinear-optical processes in microstructure fibers," JETP 97, 505-521 (2003).
16. M. A. Foster, K. D. Moll, and A. L. Gaeta, "Optimal waveguide dimensions for nonlinear interactions," Opt. Express 12, 2880-2887 (2004), http://www.opticsexpress.org.
17. V. Finazzi, T. M. Monro, and D. J. Richardson, "The role of confinement loss in highly nonlinear silica holey fibers," IEEE Photonics Technol. Lett. 15, 1246-1248 (2003).
18. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, Dordrecht, The Netherlands, 1983).
19. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).
20. L. Tong, J. Lou, and E. Mazur, "Single-mode guiding properties of subwavelength-diameter silica and silicon wire waveguides," Opt. Express 12, 1025-1035 (2003), http://www.opticsexpress.org.
21. M. D. Nielsen and N. A. Mortensen, "Photonic crystal fiber design based on the V-parameter," Opt. Express 11, 2762-2768 (2003), http:// www.opticsexpress.org.
22. M. D. Nielsen, N. A. Mortensen, J. R. Folkenberg, and A. Bjarklev, "Mode-field radius of photonic crystal fibers expressed by the V-parameter," Opt. Lett. 28, 2309-2311 (2003).
23. M. Koshiba and K. Saitoh, "Applicability of classical optical fiber theories to holey fibers," Opt. Lett. 29, 1739-1741 (2004).