OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 4 — Feb. 13, 2012
  • pp: 4009–4017

Analytic models of spectral responses of fiber-grating-based interferometers on FMC theory

Xiangkai Zeng, Lai Wei, Yingjun Pan, Shengping Liu, and Xiaohui Shi  »View Author Affiliations


Optics Express, Vol. 20, Issue 4, pp. 4009-4017 (2012)
http://dx.doi.org/10.1364/OE.20.004009


View Full Text Article

Enhanced HTML    Acrobat PDF (865 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper the analytic models (AMs) of the spectral responses of fiber-grating-based interferometers are derived from the Fourier mode coupling (FMC) theory proposed recently. The interferometers include Fabry-Perot cavity, Mach-Zehnder and Michelson interferometers, which are constructed by uniform fiber Bragg gratings and long-period fiber gratings, and also by Gaussian-apodized ones. The calculated spectra based on the analytic models are achieved, and compared with the measured cases and those on the transfer matrix (TM) method. The calculations and comparisons have confirmed that the AM-based spectrum is in excellent agreement with the TM-based one and the measured case, of which the efficiency is improved up to ~2990 times that of the TM method for non-uniform-grating-based in-fiber interferometers.

© 2012 OSA

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.2770) Diffraction and gratings : Gratings
(230.0230) Optical devices : Optical devices
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: December 2, 2011
Revised Manuscript: January 14, 2012
Manuscript Accepted: January 16, 2012
Published: February 2, 2012

Citation
Xiangkai Zeng, Lai Wei, Yingjun Pan, Shengping Liu, and Xiaohui Shi, "Analytic models of spectral responses of fiber-grating-based interferometers on FMC theory," Opt. Express 20, 4009-4017 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-4-4009


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. Y. Bai, Q. Liu, K. P. Lor, and K. S. Chiang, “Widely tunable long-period waveguide grating couplers,” Opt. Express14(26), 12644–12654 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-26-12644 . [CrossRef] [PubMed]
  2. S. K. Liaw, L. Dou, and A. S. Xu, “Fiber-bragg-grating-based dispersion-compensated and gain-flattened raman fiber Amplifier,” Opt. Express15(19), 12356–12361 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-19-12356 . [CrossRef] [PubMed]
  3. K. P. Koo, M. LeBlanc, T. E. Tsai, and S. T. Vohra, “Fiber-chirped grating Fabry-Perot sensor with multiple-wavelength-addressable free-spectral ranges,” IEEE Photon. Technol. Lett.10(7), 1006–1008 (1998). [CrossRef]
  4. X. J. Gu, “Wavelength-division multiplexing isolation fiber filter and light source using cascaded long-period fiber gratings,” Opt. Lett.23(7), 509–510 (1998), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-7-509 . [CrossRef] [PubMed]
  5. P. L. Swart, “Long-period grating Michelson refractometric sensor,” Meas. Sci. Technol.15(8), 1576–1580 (2004). [CrossRef]
  6. G. D. Marshall, R. J. Williams, N. Jovanovic, M. J. Steel, and M. J. Withford, “Point-by-point written fiber-Bragg gratings and their application in complex grating designs,” Opt. Express18(19), 19844–19859 (2010), http://www.opticsinfobase.org/abstract.cfm?URI=oe-18-19-19844 . [CrossRef] [PubMed]
  7. T. Erdogan, “Fiber grating spectra,” J. Lightwave Technol.15(8), 1277–1294 (1997). [CrossRef]
  8. M. Yamada and K. Sakuda, “Analysis of almost-periodic distributed feedback slab waveguides via a fundamental matrix approach,” Appl. Opt.26(16), 3474–3478 (1987). [CrossRef] [PubMed]
  9. L. A. Weller-Brophy and D. G. Hall, “Analysis of waveguide gratings: application of Rouard’s method,” J. Opt. Soc. Am. A2(6), 863–871 (1985). [CrossRef]
  10. J. J. Liau, N. H. Sun, S. C. Lin, R. Y. Ro, J. S. Chiang, C. L. Pan, and H. W. Chang, “A new look at numerical analysis of uniform fiber Bragg gratings using coupled mode theory,” Prog. Electromagn. Res.93, 385–401 (2009). [CrossRef]
  11. H. Kogelnik, “Filter response of nonuniform almost-periodic structure,” Bell Syst. Tech. J.55, 109–126 (1976).
  12. E. Mazzetto, C. G. Someda, J. A. Acebron, and R. Spigler, “The fractional Fourier transform in the analysis and synthesis of fiber Bragg gratings,” Opt. Quantum Electron.37(8), 755–787 (2005). [CrossRef]
  13. H. V. Baghdasaryan and T. M. Knyazyan, “Modeling of linearly chirped fiber Bragg gratings by the method of single expression,” Opt. Quantum Electron.34(5-6), 481–492 (2002). [CrossRef]
  14. E. Peral and J. Capmany, “Generalized Bloch wave analysis for fiber and waveguide gratings,” J. Lightwave Technol.15(8), 1295–1302 (1997). [CrossRef]
  15. A. Bouzid and M. A. G. Abushagur, “Scattering analysis of slanted fiber gratings,” Appl. Opt.36(3), 558–562 (1997). [CrossRef] [PubMed]
  16. L. Poladian, “Graphical and WKB analysis of nonuniform Bragg gratings,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics48(6), 4758–4767 (1993). [CrossRef] [PubMed]
  17. X. K. Zeng and Y. J. Rao, “Theory of Fourier mode coupling for fiber Bragg gratings,” Acta Phys. Sin.59, 8597–8606 (2010).
  18. X. K. Zeng and Y. J. Rao, “Theory of Fourier mode coupling for long-period fiber gratings,” Acta Phys. Sin.59, 8607–8614 (2010).
  19. X. K. Zeng, “Application of Fourier mode coupling theory to real-time analyses of nonuniform Bragg gratings,” IEEE Photon. Technol. Lett.23(13), 854–856 (2011). [CrossRef]
  20. X. K. Zeng and K. Liang, “Analytic solutions for spectral properties of superstructure, Gaussian-apodized and phase shift gratings with short- or long-period,” Opt. Express19(23), 22797–22808 (2011), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-23-22797 . [CrossRef] [PubMed]
  21. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127(6), 1918–1939 (1962). [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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited