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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 22, Iss. 2 — Feb. 1, 2005
  • pp: 474–480

Calculation of confinement losses in photonic crystal fibers by use of a source-model technique

Amit Hochman and Yehuda Leviatan  »View Author Affiliations

JOSA B, Vol. 22, Issue 2, pp. 474-480 (2005)

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We extend our previous work on photonic-crystal fibers (PCFs) using the source-model technique to include leaky modes of fibers having a finite-sized photonic bandgap crystal (PBC) cladding. We concentrate on a hollow-core PCF and calculate the confinement losses by means of two different methods. The first method is more general but also more computationally expensive; we use sources that have a complex propagation constant and seek a transverse resonance in the complex plane. The second method, applicable only to modes with small confinement losses, uses sources with a real propagation constant to approximate leaky modes that have a propagation constant that is close to the real axis. We then apply Poynting’s theorem to calculate the attenuation constant in a manner akin to the perturbation methods used to calculate the losses in finite-conductivity metal waveguides. This first approximation can be improved through iterative application of the algorithm, i.e., by use of sources with the attenuation constant found in the first approximation. The two methods are shown to be in good agreement with each other and with previously published results for solid-core PCFs. Numerical results show that, for the hollow-core PCF analyzed, many layers of PBC cladding are needed to attain confinement losses that are acceptable for telecommunications.

© 2005 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.2270) Fiber optics and optical communications : Fiber characterization
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2400) Fiber optics and optical communications : Fiber properties
(230.3990) Optical devices : Micro-optical devices
(230.7370) Optical devices : Waveguides

Amit Hochman and Yehuda Leviatan, "Calculation of confinement losses in photonic crystal fibers by use of a source-model technique," J. Opt. Soc. Am. B 22, 474-480 (2005)

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  1. K. Saitoh and M. Koshiba, "Confinement losses in air-guiding photonic bandgap fibers," IEEE Photonics Technol. Lett. 15, 236-238 (2003). [CrossRef]
  2. A. Hochman and Y. Leviatan, "Analysis of strictly bound modes in photonic crystal fibers by use of a source-model technique," J. Opt. Soc. Am. A 21, 1073-1081 (2004). [CrossRef]
  3. D. Marcuse, Light Transmission Optics (Krieger, Malabar, Fla., 1989).
  4. R. Sammut and A. W. Snyder, "Leaky modes on a dielectric waveguide: orthogonality and excitation," Appl. Opt. 15, 1040-1044 (1976). [CrossRef] [PubMed]
  5. T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am. B 19, 2322-2330 (2002). [CrossRef]
  6. X. E. Lin, "Photonic band gap fiber accelerator," Phys. Rev. ST Accel. Beams 4, 051301 (2001). [CrossRef]
  7. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice-Hall, Englewood Cliffs, N.J., 1991).
  8. R. Lehoucq, D. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, Philadelphia, 1998).
  9. R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960).
  10. B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, "Multipole method for microstructured optical fibers. II. Implementation and results," J. Opt. Soc. Am. B 19, 2331-2340 (2002). [CrossRef]
  11. L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces (Pergamon, Oxford, UK, 1964).
  12. S. Guo, F. Wu, S. Albin, H. Tai, and R. S. Rogowski, "Loss and dispersion analysis of microstructured fibers by finite-difference method," Opt. Express 12, 3341-3352 (2004), http://www.opticsexpress.org. [CrossRef] [PubMed]
  13. N. A. Issa and L. Poladian, "Vector wave expansion method for leaky modes of microstructured optical fibers," J. Lightwave Technol. 21, 1005-1012 (2003). [CrossRef]
  14. C. G. Broyden, "The convergence of a class of double-rank minimization algorithms," J. Inst. Math. Appl. 6, 76-90 (1970). [CrossRef]
  15. T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, "Calculations of air-guiding modes in photonic crystal fibers using the multipole method," Opt. Express 9, 721-732 (2001), http://www.opticsexpress.org. [CrossRef] [PubMed]
  16. S. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. Engeness, M. Soljacic, S. Jacobs, J. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core omniguide fibers," Opt. Express 9, 748-779 (2001), http://www.opticsexpress.org. [CrossRef] [PubMed]

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