Abstract

The energy density distribution of the diffracted ultraviolet field from a phase mask used for fiber Bragg grating fabrication is efficiently analyzed at short-to-intermediate distances by application of a thin phase screen model and the angular spectrum decomposition method. A direct comparison with the results obtained from a rigorous coupled-wave model shows good agreement.

© 2004 Optical Society of America

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References

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  1. K. O. Hill and G. Meltz, IEEE J. Lightwave Technol. 15, 1263 (1997).
    [CrossRef]
  2. Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
    [CrossRef]
  3. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, England, 1999).
    [CrossRef]
  4. M. G. Moharam, E. B. Grann, and D. A. Pommet, J. Opt. Soc. Am. A 12, 1068 (1995).
    [CrossRef]
  5. O. V. Ivanov, Opt. Commun. 229, 167 (2004).
    [CrossRef]

2004 (1)

O. V. Ivanov, Opt. Commun. 229, 167 (2004).
[CrossRef]

1999 (1)

Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
[CrossRef]

1997 (1)

K. O. Hill and G. Meltz, IEEE J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

1995 (1)

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, England, 1999).
[CrossRef]

Chu, P. L.

Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
[CrossRef]

Grann, E. B.

Hill, K. O.

K. O. Hill and G. Meltz, IEEE J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

Ivanov, O. V.

O. V. Ivanov, Opt. Commun. 229, 167 (2004).
[CrossRef]

Meltz, G.

K. O. Hill and G. Meltz, IEEE J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

Moharam, M. G.

Peng, G. D.

Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
[CrossRef]

Pommet, D. A.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, England, 1999).
[CrossRef]

Wu, B.

Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
[CrossRef]

Xiong, Z.

Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
[CrossRef]

IEEE J. Lightwave Technol. (2)

K. O. Hill and G. Meltz, IEEE J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

Z. Xiong, G. D. Peng, B. Wu, and P. L. Chu, IEEE J. Lightwave Technol. 17, 2361 (1999).
[CrossRef]

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

Opt. Commun. (1)

O. V. Ivanov, Opt. Commun. 229, 167 (2004).
[CrossRef]

Other (1)

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, England, 1999).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Schematic of the FBG fabrication process with a phase mask.

Fig. 2
Fig. 2

Normalized UV energy density distribution at various distances from the phase mask: comparison with the coupled-wave analysis results. PS, phase screen analysis result; CW, coupled-wave analysis result.

Equations (4)

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Utransx=expiϕx=nbn expi2nπΛx,
Udiffx,z=nbn expi2nπΛx+iknzz,
knz=ko2-2nπΛ21/2=2πλo1-n2λoΛ21/2,
Ediffx,zUdiffx,z2=nbn expi2nπΛx+iknzz2=n mbnbm*×expi2n-mπΛx+iknz-kmzz.

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