Abstract

Losses of cladding modes are part of the mechanism of operation of a long-period grating (LPG) when it is used as an optical filter. We present a LPG computer simulation that accounts for these losses. On the basis of this simulation, we show that losses result in qualitatively different LPG spectral behavior. There is an optimal loss value that provides sidelobe-free, 100% power transfer from the core to the cladding mode for a uniform LPG. We obtained a simple equation that relates this optimum loss value to the LPG length and the cross-coupling coefficient. Based on the results, we propose new approaches to LPG design in a fiber as well as in waveguide platforms for fiber-optic communication and sensor applications. A design of a LPG reconfigurable filter is suggested.

© 2003 Optical Society of America

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References

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  1. A. M. Vengsarkar, Laser Focus World 32(6), 243 (1996).
  2. T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
    [CrossRef]
  3. V. Rastogi and K. S. Chiang, Appl. Opt. 41, 6351 (2002).
    [CrossRef] [PubMed]
  4. M. Kulishov and X. Daxhelet, J. Opt. Soc. Am. A 19, 1632 (2002).
    [CrossRef]
  5. H. Jeong and K. Oh, Opt. Commun. 199, 103 (2001).
    [CrossRef]

2002 (2)

2001 (1)

H. Jeong and K. Oh, Opt. Commun. 199, 103 (2001).
[CrossRef]

1997 (1)

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

1996 (1)

A. M. Vengsarkar, Laser Focus World 32(6), 243 (1996).

Chiang, K. S.

Daxhelet, X.

Erdogan, T.

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Jeong, H.

H. Jeong and K. Oh, Opt. Commun. 199, 103 (2001).
[CrossRef]

Kulishov, M.

Oh, K.

H. Jeong and K. Oh, Opt. Commun. 199, 103 (2001).
[CrossRef]

Rastogi, V.

Vengsarkar, A. M.

A. M. Vengsarkar, Laser Focus World 32(6), 243 (1996).

Appl. Opt. (1)

J. Lightwave Technol. (1)

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

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

Laser Focus World (1)

A. M. Vengsarkar, Laser Focus World 32(6), 243 (1996).

Opt. Commun. (1)

H. Jeong and K. Oh, Opt. Commun. 199, 103 (2001).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Normalized mode power as a function of the wavelength for different small values of the α2 parameter, κL=π.

Fig. 2
Fig. 2

Normalized mode power as a function of the wavelength for different large values of the α2 parameter, κL=π.

Fig. 3
Fig. 3

Normalized mode power as a function of the LPG length for different values of the α2 parameter, κ=25 m-1.

Fig. 4
Fig. 4

Comparison between transmission of lossless and lossy LPGs.

Fig. 5
Fig. 5

Transmission spectra for different values of the LPG length, κ=25 m-1, and α2=34.2 m-1.

Equations (6)

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T11z,Δz=cosγΔz+jσγsinγΔz×expjβ1-σΔz,
T12z,Δz=jκγsinγΔzexpjβ1-σΔz×expj2πΛz,
T21z,Δz=jκ*γsinγΔzexpjβ2+σΔz×exp-j2πΛz,
T22z,Δz=cosγΔz-jσγsinγΔz×expjβ2+σΔz,
PL=cosγL+α22γsinγL2exp-α2L.
tanκ2-α2241/2L+4κ2α22-11/2=0.

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