Abstract

In this paper, we completely study the wavelength dependency of differential group delay (DGD) in uniform fiber Bragg gratings (FBG) exhibiting birefringence. An analytical expression of DGD is established. We analyze the impact of grating parameters (physical length, index modulation and apodization profile) on the wavelength dependency of DGD. Experimental results complete the paper. A very good agreement between theory and experience is reported.

© 2005 Optical Society of America

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References

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    [CrossRef]
  7. E. Ciaramella, E. Riccardi, and M. Schiano, "System penalties due to polarisation mode dispersion of chirped gratings," in Proceedings of 24th European Conference on Optical Communication 1, 20-24 September, Madrid, Spain, 515-516 (1998).
  8. I. Riant, J. Gourhant, and P. Sansonetti, "Polarization mode dispersion analysis in fibre chromatic dispersion compensators," in Proceedings of Optical Fiber Communication Conference 1, 21-26 February, 269-271 (1999).
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Appl. Opt. (1)

European Conference on Optical Comm. (1)

E. Ciaramella, E. Riccardi, and M. Schiano, "System penalties due to polarisation mode dispersion of chirped gratings," in Proceedings of 24th European Conference on Optical Communication 1, 20-24 September, Madrid, Spain, 515-516 (1998).

European Conference on Optical Comm. 1 (1)

M. Schiano and G. Zaffiro, "Polarisation mode dispersion in chirped fiber gratings," in Proceedings of the 24th European Conference on Optical Communication 1, 20-24 September, Madrid, Spain, 403-404 (1998).

IEEE Trans. Instrum. Meas. (1)

Z. Yihong, E. Simova, P. Berini, and C.P. Grover, "A comparison of wavelength dependent polarization dependent loss measurements in fiber gratings," IEEE Trans. Instrum. Meas. 49, 1231-1239 (2000).
[CrossRef]

J. Lightwave Technol. (2)

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, "Design of apodized linearly chirped fiber gratings for dispersion compensation," J. Lightwave Technol. 14, 2581-2588 (1996).
[CrossRef]

T. Erdogan, "Fiber grating spectra," J. Lightwave Technol. 15, 1277-1294 (1997).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

N. Gisin and B. Huttner, "Combined effects of polarization mode dispersion and polarization dependent losses in optical fibers," Opt. Commun. 142, 119-125 (1997).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Optical Fiber Communication Conference (1)

I. Riant, J. Gourhant, and P. Sansonetti, "Polarization mode dispersion analysis in fibre chromatic dispersion compensators," in Proceedings of Optical Fiber Communication Conference 1, 21-26 February, 269-271 (1999).

Optical Fiber Measurement Conference (1)

S. Bonino, M. Norgia, E. Riccardi, and M. Schiano, "Measurement of polarization properties of chirped fiber gratings," in Proceedings of 1997 Optical Fiber Measurement Conference, 29 September - 1 October, Teddington, UK, 10-13 (1997).

Other (2)

D. Derikson, Fiber optic test and measurement (Prentice Hall PTR, New Jersey, 1998).

A. Othonos and K. Kalli, Fiber Bragg gratings: fundamentals and applications in telecommunications and sensing (Artech House, Norwood, MA, 1999).

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Figures (4)

Fig. 1.
Fig. 1.

Wavelength dependency of DGD and transmission coefficient as a function of Δn

Fig. 2.
Fig. 2.

Wavelength dependency of DGD as a function of L (a) and δn (b)

Fig. 3.
Fig. 3.

Transmission spectrum (a) and wavelength dependency of DGD (b) as a function of the apodization

Fig. 4.
Fig. 4.

Evolution with wavelength of DGD: experimental and simulation results for (a) strong grating and (b) weak grating

Equations (7)

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n eff , x = n eff + Δn 2 ; n eff , y = n eff Δn 2
E i , x E i , y = M x e j ξ x M y e j ξ y
E t , x E t , y = J . E i , x E i , y = t x M x e j ξ x t y M y e j ξ y with J = t x 0 0 t y
t x ( y ) = j α x ( y ) σ x ( y ) sinh ( α x ( y ) L ) j α x ( y ) cosh ( α x ( y ) L )
τ x ( y ) = n eff , x ( y ) c κ 2 α x ( y ) σ x ( y ) 2 sinh ( α x ( y ) L ) cosh ( α x ( y ) L ) L κ 2 σ x ( y ) 2 cosh 2 ( α x ( y ) L ) 1
Δ τ = Arg ( ρ 1 ρ 2 ) Δω
T ( ω + Δω ) . T 1 ( ω )

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