OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 25 — Sep. 1, 2001
  • pp: 4476–4486

Transfer-matrix approach based on modal analysis for modeling corrugated long-period fiber gratings

Gia-Wei Chern, Lon A. Wang, and Chunn-Yenn Lin  »View Author Affiliations


Applied Optics, Vol. 40, Issue 25, pp. 4476-4486 (2001)
http://dx.doi.org/10.1364/AO.40.004476


View Full Text Article

Enhanced HTML    Acrobat PDF (639 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A transfer-matrix method is developed for modeling a corrugated long-period fiber grating. Cladding-mode resonance in such a corrugated structure can be controlled by the applied tensile stress based on the photoelastic effect. A first-order vectorial perturbation expansion is used to derive the mode fields of the two basic regions under the strain-induced index perturbation. Because the etched cladding radius is much smaller than the unetched radius, the effect of the corrugated structure on cladding modes cannot be treated as a small perturbation. Thus the conventional coupled-mode theory is inadequate for the modeling of such a structure. Based on a self-consistent mode-matching technique, mode coupling within the corrugated structure can be described by a set of transfer matrices. We apply the formulation to the calculation of the transmission spectra of a corrugated long-period grating and compare the calculated with the experimental results. The transfer-matrix approach is found to account well for the features of the transmission spectra of the corrugated long-period gratings.

© 2001 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2340) Fiber optics and optical communications : Fiber optics components

History
Original Manuscript: November 17, 2000
Published: September 1, 2001

Citation
Gia-Wei Chern, Lon A. Wang, and Chunn-Yenn Lin, "Transfer-matrix approach based on modal analysis for modeling corrugated long-period fiber gratings," Appl. Opt. 40, 4476-4486 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-25-4476


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14, 58–65 (1996). [CrossRef]
  2. A. M. Vengsarkar, J. R. Pedrazzani, J. B. Judkins, P. J. Lemaire, N. S. Bergano, C. R. Davidson, “Long-period fiber-grating-based gain equalizers,” Opt. Lett. 21, 336–338 (1996). [CrossRef] [PubMed]
  3. B. Ortega, L. Dong, W. F. Liu, J. P. de Sandro, L. Reekie, S. I. Tsypina, V. N. Bagratashvili, R. I. Laming, “High-performance optical fiber polarizers based on long-period gratings in birefringent optical fibers,” IEEE Photon. Technol. Lett. 9, 1370–1372 (1997). [CrossRef]
  4. V. Bhatia, A. M. Vengsarkar, “Optical fiber long-period grating sensors,” Opt. Lett. 21, 692–694 (1996). [CrossRef] [PubMed]
  5. H. J. Patrick, G. M. Williams, A. D. Kersey, J. R. Pedrazzani, A. M. Vengsarkar, “Hybrid fiber Bragg grating/long period fiber grating sensor for strain/temperature discrimination,” IEEE Photon. Technol. Lett. 8, 1223–1225 (1996). [CrossRef]
  6. A. A. Abramov, B. J. Eggleton, J. A. Rogers, R. P. Espindola, A. Hale, R. S. Windeler, T. A. Strasser, “Electrically tunable efficient broad-band fiber filter,” IEEE Photon. Technol. Lett. 11, 445–447 (1999). [CrossRef]
  7. H. S. Kim, S. H. Yun, I. K. Kwang, B. Y. Kim, “All-fiber acousto-optic tunable notch filter with electronically controllable spectral profile,” Opt. Lett. 22, 1476–1478 (1997). [CrossRef]
  8. C. Y. Lin, L. A. Wang, “Loss-tunable long period fibre grating made from etched corrugated structure,” Electron. Lett. 35, 1872–1873 (1999). [CrossRef]
  9. T. Erdogan, “Cladding-mode resonances in short- and long-period fiber grating filters,” J. Opt. Soc. Am. A 14, 1760–1773 (1997). [CrossRef]
  10. G. W. Chern, L. A. Wang, “Transfer-matrix method based on perturbation expansion for periodic and quasi-periodic binary long-period gratings,” J. Opt. Soc. Am. A 16, 2675–2689 (1999). [CrossRef]
  11. M. Song, B. Lee, S. B. Lee, S. S. Choi, “Interferometric temperature-insensitive strain measurement with different-diameter fiber Bragg gratings,” Opt. Lett. 22, 790–792 (1997). [CrossRef] [PubMed]
  12. J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, 1969).
  13. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1991), Secs. 31-1 and 31-8.
  14. A. Wexler, “Solution of waveguide discontinuities by modal analysis,” IEEE Trans. Microwave Theory Tech. MTT-15, 508–517 (1967). [CrossRef]
  15. R. Kuszelewicz, G. Aubert, “Modal matrix theory for light propagation in laterally restricted stratified media,” J. Opt. Soc. Am. A 14, 3262–3272 (1997). [CrossRef]
  16. C. Dragone, “Scattering at a junction of two waveguides with different surfaces impedences,” IEEE Trans. Microwave Theory Tech. MTT-32, 1319–1328 (1984). [CrossRef]
  17. W.-P. Huang, J. Hong, “A transfer matrix approach based on local normal modes for coupled waveguides with periodic perturbation,” J. Lightwave Technol. 11, 1367–1374 (1992). [CrossRef]
  18. M. N. O. Sadiku, Numerical Techniques in Electromagnetics (CRC Press, Boca Raton, Fla., 1992).
  19. T. W. MacDougall, S. Pilevar, C. W. Haggans, M. A. Jackson, “Generalized expression for the growth of long period gratings,” IEEE Photon. Technol. Lett. 10, 1449–1451 (1998). [CrossRef]

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