Abstract

Using numerical simulations, we report the observation of a new effect—a spectral Talbot-like effect—in one-dimensional photonic bandgap structures, particularly sampled chirped fiber Bragg gratings. We derive the general conditions for which spectral Talbot-like phenomena, namely, integer and fractional spectral self-imaging, can be observed and relate them to the physical grating parameters.

© 2004 Optical Society of America

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References

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  1. K. Patorski, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1989), Vol. 27, p. 1.
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  6. C. Wang, L. R. Chen, and P. W. E. Smith, Appl. Opt. 41, 1654 (2002).
    [CrossRef] [PubMed]

2002

1999

1998

F. Mitschke and U. Morgner, Opt. Photon. News 9(12), 45 (1998).
[CrossRef]

1995

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

1994

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, Electron. Lett. 30, 1620 (1994).
[CrossRef]

Azaña, J.

Chen, L. R.

Dhosi, G.

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

Eggleton, B.

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

Eggleton, B. J.

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, Electron. Lett. 30, 1620 (1994).
[CrossRef]

Krug, P. A.

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, Electron. Lett. 30, 1620 (1994).
[CrossRef]

Mitschke, F.

F. Mitschke and U. Morgner, Opt. Photon. News 9(12), 45 (1998).
[CrossRef]

Morgner, U.

F. Mitschke and U. Morgner, Opt. Photon. News 9(12), 45 (1998).
[CrossRef]

Muriel, M. A.

Ouellette, F.

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, Electron. Lett. 30, 1620 (1994).
[CrossRef]

Patorski, K.

K. Patorski, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1989), Vol. 27, p. 1.
[CrossRef]

Poladian, L.

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, Electron. Lett. 30, 1620 (1994).
[CrossRef]

Smith, P. W. E.

Stephens, T.

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

Wang, C.

Appl. Opt.

Electron. Lett.

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, Electron. Lett. 30, 1620 (1994).
[CrossRef]

F. Ouellette, P. A. Krug, T. Stephens, G. Dhosi, and B. Eggleton, Electron. Lett. 31, 899 (1995).
[CrossRef]

Opt. Lett.

Opt. Photon. News

F. Mitschke and U. Morgner, Opt. Photon. News 9(12), 45 (1998).
[CrossRef]

Other

K. Patorski, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1989), Vol. 27, p. 1.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Schematic of a S-CFBG.

Fig. 2
Fig. 2

Reflection spectrum and corresponding group delay in reflection (zoomed over three channels highlighted by the dashed lines) for S-CFBGs with chirp coefficients Cg with the values shown.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

Dν=T2/m,
ΔλλB2/2navP,
Dν,grating-2navλBc21Cg.
Dν,grating=m/Δν2,
Cg1mΛ0P2.

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