OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 7 — Jul. 1, 2013
  • pp: 1966–1974

Analytical evaluation of material loss in a Bragg fiber using a perturbative approach

Akira Kitagawa and Jun-ichi Sakai  »View Author Affiliations


JOSA B, Vol. 30, Issue 7, pp. 1966-1974 (2013)
http://dx.doi.org/10.1364/JOSAB.30.001966


View Full Text Article

Enhanced HTML    Acrobat PDF (772 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study the material loss in a Bragg fiber possessing a hollow core and stratified periodic cladding layers through a perturbative method. In the present scheme, electromagnetic fields are treated via the approximate Bloch theorem in cylindrical coordinates for a loss-free Bragg fiber, and then dissipation is added as a perturbation in complex refractive indices. Analytical representation of material loss is described for TE, TM, and hybrid (HE, EH) modes, and some numerical examples are given. They are compared with results obtained by the multilayer division method, which gives very accurate solutions for cylindrically symmetric fiber structures. Results obtained by those two methods mostly agree with each other even for the lowest mode, that is, HE11 mode.

© 2013 Optical Society of America

OCIS Codes
(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

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 3, 2013
Revised Manuscript: May 15, 2013
Manuscript Accepted: May 24, 2013
Published: June 26, 2013

Citation
Akira Kitagawa and Jun-ichi Sakai, "Analytical evaluation of material loss in a Bragg fiber using a perturbative approach," J. Opt. Soc. Am. B 30, 1966-1974 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-7-1966


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. St. J. Russell, “Photonic-crystal fibers,” J. Lightwave Technol. 24, 4729–4749 (2006). [CrossRef]
  2. T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, “Full 2-D photonic bandgaps in silica/air structures,” Electron. Lett. 31, 1941–1943 (1995). [CrossRef]
  3. P. Yeh, A. Yariv, and E. Marom, “Theory of Bragg fiber,” J. Opt. Soc. Am. 68, 1196–1201 (1978). [CrossRef]
  4. Y. Xu, R. K. Lee, and A. Yariv, “Asymptotic analysis of Bragg fibers,” Opt. Lett. 25, 1756–1758 (2000). [CrossRef]
  5. Y. Xu, G. X. Ouyang, R. K. Lee, and A. Yariv, “Asymptotic matrix theory of Bragg fibers,” J. Lightwave Technol. 20, 428–440 (2002). [CrossRef]
  6. J. Sakai and P. Nouchi, “Propagation properties of Bragg fiber analyzed by a Hankel function formalism,” Opt. Commun. 249, 153–163 (2005). [CrossRef]
  7. J. Sakai, “Hybrid modes in a Bragg fiber: general properties and formulas under the quarter-wave stack condition,” J. Opt. Soc. Am. B 22, 2319–2330 (2005). [CrossRef]
  8. S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, “Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers,” Opt. Express 9, 748–779 (2001). [CrossRef]
  9. W. Zhi, R. Guobin, L. Shuqin, L. Weijun, and S. Guo, “Compact supercell method based on opposite parity for Bragg fibers,” Opt. Express 11, 3542–3549 (2003). [CrossRef]
  10. J. Sakai and H. Niiro, “Confinement loss evaluation based on a multilayer division method in Bragg fibers,” Opt. Express 16, 1885–1902 (2008). [CrossRef]
  11. D. V. Prokopovich, A. V. Popov, and A. V. Vinogradov, “Analytical and numerical aspects of Bragg fiber design,” Prog. Electromagn. Res. 6, 361–379 (2008). [CrossRef]
  12. B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, “Wavelength-scalable hollow optical fibres with large photonic bandgaps for CO2 laser transmission,” Nature 420, 650–653 (2002). [CrossRef]
  13. G. Vienne, Y. Xu, C. Jakobsen, H.-J. Deyerl, J. B. Jensen, T. Sørensen, T. P. Hansen, Y. Huang, M. Terrel, R. K. Lee, N. A. Mortensen, J. Broeng, H. Simonsen, A. Bjarklev, and A. Yariv, “Ultra-large bandwidth hollow-core guiding in all-silica Bragg fibers with nano-supports,” Opt. Express 12, 3500–3508 (2004). [CrossRef]
  14. F. Bloch, “Über die Quantenmechanik der Elektronen in Kristallgittern,” Z. Phys. 52, 555–600 (1929). [CrossRef]
  15. A. Kitagawa and J. Sakai, “Bloch theorem in cylindrical coordinates and its application to a Bragg fiber,” Phys. Rev. A 80, 033802 (2009). [CrossRef]
  16. A. Kitagawa and J. Sakai, “High-accuracy representation of propagation properties of hybrid modes in a Bragg fiber based on Bloch theorem in cylindrical coordinates,” J. Opt. Soc. Am. B 28, 613–621 (2011). [CrossRef]
  17. J. Sakai and N. Nishida, “Confinement loss, including cladding material loss effects, in Bragg fibers,” J. Opt. Soc. Am. B 28, 379–386 (2011). [CrossRef]
  18. J. Sakai, “Analytical expression of confinement loss in Bragg fibers and its relationship with generalized quarter-wave stack condition,” J. Opt. Soc. Am. B 28, 2740–2754 (2011). [CrossRef]
  19. J. Sakai, “Analytical expression of core and cladding material losses in Bragg fibers using the perturbation theory,” J. Opt. Soc. Am. B 28, 2755–2764 (2011). [CrossRef]
  20. J. Sakai and Y. Suzuki, “Equivalence between in-phase and antiresonant reflection conditions in Bragg fiber and its application to antiresonant reflecting optical waveguide-type fibers,” J. Opt. Soc. Am. B 28, 183–192 (2011). [CrossRef]
  21. J. L. Archambault, R. J. Black, S. Lacroix, and J. Bures, “Loss calculations for antiresonant waveguides,” J. Lightwave Technol. 11, 416–423 (1993). [CrossRef]
  22. K. J. Rowland, S. V. Afshar, and T. M. Monro, “Bandgaps and antiresonances in integrated-ARROW and Bragg fibers; a simple model,” Opt. Express 16, 17935–17951 (2008). [CrossRef]
  23. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1965), Chap. 9.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited