Radiation losses of optical nanofibers are investigated in assumption of Gaussian statistics of distorted glass/air interface. Nonlinear relationship between the radiated power and roughness power spectrum is established. The losses in the single mode silica nanofibers are estimated for the case of inverse-square law of the roughness power spectrum.

© 2008 Optical Society of America

1. P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, D. P. Williams, L. Farr, M. W. Mason, and A. Tomlinson, T. A. Birks, J. C. Knight and P. St. J. Russell, "Ultimate low loss of hollow-core photonic crystal fibers," Opt. Express 13, 236-244 (2005). [CrossRef] [PubMed]
2. P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, T. A. Birks, J. C. Knight, and P. St. J. Russell, "Loss in solid-core photonic crystal fibers due to interface roughness scattering," Opt. Express 13, 7779-7793 (2005). [CrossRef] [PubMed]
3. J. Jäckle and K. Kawasaki, "Intrinsic roughness of glass surfaces," J. Phys.: Condens. Matter 7, 4351-4358 (1995). [CrossRef]
4. L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, "Subwavelengthdiameter silica wires for low-loss optical wave guiding," Nature 426, 816-819 (2003). [CrossRef] [PubMed]
5. L. M. Tong, L. L. Hu, J. J. Zhang, J. R. Qiu, Q. Yang, J. Y. Lou, Y. H. Shen, J. L. He, and Z. Z. Ye, "Photonic nanowires directly drawn from bulk glasses," Opt. Express 14, 82-87 (2006). [CrossRef] [PubMed]
6. G. Zhai and L. Tong, "Roughness-induced radiation losses in optical micro or nanofibers," Opt. Express 15, 13805-13816 (2007). [CrossRef] [PubMed]
7. D. Marcuse, "Radiation losses of dielectric waveguides in terms of the power spectrum of the wall distortion function," Bell Syst. Tech. J. 48, 3233-3242 (1969).
8. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic Press, New York, 1974).
9. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge Univ. Press, Cambridge, 1995).
10. O. I. Barchuk, A. V. Kovalenko, V. N. Kurashov, and A. I. Maschenko, "Statistical characteristics of fluctuations of dielectric constant in planar waveguide with rough walls," (Ukrainskiy Fizicheskiy Zhurnal) Ukr. Phys. J. 36, 612-617 (1991).
11. R. Price, "A useful Theorem for Non-Linear devices having Gaussian Inputs," IEEE Trans. Inf. Theory 4, 69-72 (1958). [CrossRef]
12. A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York 1984).
13. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, New York, NY 1983).
14. L. Tong, J. Lou, and E. Mazur, "Single-mode guiding properties of subwavelength-diameter silica and silicon wire waveguides," Opt. Express 12, 1025-1035 (2004). [CrossRef] [PubMed]

Bell Syst. Tech. J.

• D. Marcuse, "Radiation losses of dielectric waveguides in terms of the power spectrum of the wall distortion function," Bell Syst. Tech. J. 48, 3233-3242 (1969).

IEEE Trans. Inf. Theory

• R. Price, "A useful Theorem for Non-Linear devices having Gaussian Inputs," IEEE Trans. Inf. Theory 4, 69-72 (1958). [CrossRef]

J. Phys.: Condens. Matter

• J. Jäckle and K. Kawasaki, "Intrinsic roughness of glass surfaces," J. Phys.: Condens. Matter 7, 4351-4358 (1995). [CrossRef]

Nature

• L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, "Subwavelengthdiameter silica wires for low-loss optical wave guiding," Nature 426, 816-819 (2003). [CrossRef] [PubMed]

Opt. Express

• L. M. Tong, L. L. Hu, J. J. Zhang, J. R. Qiu, Q. Yang, J. Y. Lou, Y. H. Shen, J. L. He, and Z. Z. Ye, "Photonic nanowires directly drawn from bulk glasses," Opt. Express 14, 82-87 (2006). [CrossRef] [PubMed]
• G. Zhai and L. Tong, "Roughness-induced radiation losses in optical micro or nanofibers," Opt. Express 15, 13805-13816 (2007). [CrossRef] [PubMed]
• P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, D. P. Williams, L. Farr, M. W. Mason, and A. Tomlinson, T. A. Birks, J. C. Knight and P. St. J. Russell, "Ultimate low loss of hollow-core photonic crystal fibers," Opt. Express 13, 236-244 (2005). [CrossRef] [PubMed]
• P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, T. A. Birks, J. C. Knight, and P. St. J. Russell, "Loss in solid-core photonic crystal fibers due to interface roughness scattering," Opt. Express 13, 7779-7793 (2005). [CrossRef] [PubMed]
• L. Tong, J. Lou, and E. Mazur, "Single-mode guiding properties of subwavelength-diameter silica and silicon wire waveguides," Opt. Express 12, 1025-1035 (2004). [CrossRef] [PubMed]

Ukrainskiy Fizicheskiy Zhurnal)

• O. I. Barchuk, A. V. Kovalenko, V. N. Kurashov, and A. I. Maschenko, "Statistical characteristics of fluctuations of dielectric constant in planar waveguide with rough walls," (Ukrainskiy Fizicheskiy Zhurnal) Ukr. Phys. J. 36, 612-617 (1991).

Other

• A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York 1984).
• A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, New York, NY 1983).
• D. Marcuse, Theory of Dielectric Optical Waveguides (Academic Press, New York, 1974).
• L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge Univ. Press, Cambridge, 1995).

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