Abstract

We present a novel and simple technique for obtaining transversal filters with negative coefficients by using uniform fiber Bragg gratings. We demonstrate a wide tuning range, good performance, low cost, and easy implementation of multitap filters in an all-optical passive configuration in which negative taps are obtained by use of the transmission of a broadband source through uniform Bragg gratings.

© 2003 Optical Society of America

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References

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  1. S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
    [CrossRef]
  2. F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
    [CrossRef]
  3. S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
    [CrossRef]
  4. X. Wang and K. T. Chan, Electron. Lett. 36, 2001 (2000).
    [CrossRef]
  5. Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
    [CrossRef]
  6. J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
    [CrossRef]

2002

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

2001

Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
[CrossRef]

2000

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

X. Wang and K. T. Chan, Electron. Lett. 36, 2001 (2000).
[CrossRef]

1997

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
[CrossRef]

1995

S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
[CrossRef]

Andrés, M. V.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

Bennion, I.

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

Capmany, J.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
[CrossRef]

Chan, K. T.

X. Wang and K. T. Chan, Electron. Lett. 36, 2001 (2000).
[CrossRef]

Chao, L.

Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
[CrossRef]

Chiang, K. S.

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

Coppinger, F.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
[CrossRef]

Cruz, J. L.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

Gambling, W. A.

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

Hong, N. J.

Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
[CrossRef]

Jalali, B.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
[CrossRef]

Li, S.

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

Liu, Y.

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

Marti, J.

S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
[CrossRef]

Mora, J.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

Ortega, B.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

Pastor, D.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
[CrossRef]

Sales, S.

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
[CrossRef]

Trinh, P. D.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
[CrossRef]

Wang, X.

X. Wang and K. T. Chan, Electron. Lett. 36, 2001 (2000).
[CrossRef]

Wei, F.

Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
[CrossRef]

Xiaoke, Y.

Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
[CrossRef]

Yegnanarayanan, S.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
[CrossRef]

Zhang, L.

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

Electron. Lett.

S. Sales, J. Capmany, J. Marti, and D. Pastor, Electron. Lett. 31, 1095 (1995).
[CrossRef]

X. Wang and K. T. Chan, Electron. Lett. 36, 2001 (2000).
[CrossRef]

IEEE Photon. Technol. Lett.

Y. Xiaoke, F. Wei, N. J. Hong, and L. Chao, IEEE Photon. Technol. Lett. 13, 857 (2001).
[CrossRef]

S. Li, K. S. Chiang, W. A. Gambling, Y. Liu, L. Zhang, and I. Bennion, IEEE Photon. Technol. Lett. 12, 1207 (2000).
[CrossRef]

IEEE Trans. Microwave Theory Tech.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, IEEE Trans. Microwave Theory Tech. 45, 1473 (1997).
[CrossRef]

Opt. Express

J. Mora, B. Ortega, J. Capmany, J. L. Cruz, M. V. Andrés, D. Pastor, and S. Sales, Opt. Express 22, 1291 (2002), http://www.opticsexpress.org.
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Theoretical transfer function for a two-tap filter: filter with one negative tap (solid curves) and filter with no negative taps (dotted–dashed curves).

Fig. 2
Fig. 2

Schematic of the rf negative-tap filter: OSA, optical spectrum analyzer; other abbreviations defined in text. Inset (a), output power of the broadband optical source, an erbium-doped fiber amplifier (EDFA). Inset (b), input signal launched into the electro-optic modulator relative to the EDFA power level.

Fig. 3
Fig. 3

Filter response versus rf signal frequency for two different FSRs: (a) 1.09 GHz, (b) 5.15 GHz. Theoretical calculation (dotted curves) and experimental results (solid curves).

Fig. 4
Fig. 4

FSRs of the rf filters versus the reciprocal of the wavelength spacing between taps. Theoretical calculation (solid line) and experimental results (filled squares).

Fig. 5
Fig. 5

Filter response versus signal’s rf with 1.16-nm equispaced taps near 1530 nm. Theoretical calculation (dotted curves) and experimental results (solid curves). Inset, spectral positions of the five taps.

Fig. 6
Fig. 6

Filter response versus signal’s rf with 1.56-nm equispaced taps near 1550 nm. Theoretical calculation (dotted curves) and experimental results (solid curves). Inset, spectral positions of the four taps.

Equations (2)

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Sω=P0δω-ω1+P0Θω-δω-ω2,
HΩ=R2P0sinΔτΩ2+PTδΩ2,

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