Abstract

We report on a novel technical approach to the implementation of photonic rf filters that is based on the π phase inversion that a rf modulating signal suffers in an electro-optic Mach–Zehnder modulator, which depends on whether the positive or the negative linear slope of the signal’s modulation transfer function is employed. Experimental evidence is provided of the implementation of filters with negative coefficients that shows excellent agreement with results predicted by the theory.

© 2003 Optical Society of America

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References

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  1. K. J. Williams, J. L. Dexter, and R. D. Esman, in IEEE International Topical Meeting on Microwave Photonics (MWP’98) (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 187–189.
  2. J. Capmany, D. Pastor, and B. Ortega, IEEE Trans. Microwave Theory Tech. 47, 1321 (1999).
    [CrossRef]
  3. D. B. Hunter and R. A. Minasian, IEEE Trans. Microwave Theory Tech. 8, 1463 (1997).
    [CrossRef]
  4. D. Pastor and J. Capmany, Electron. Lett. 36, 1684 (1998).
    [CrossRef]
  5. W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
    [CrossRef]
  6. D. B. Hunter and R. A. Minasian, IEEE Photon. Technol. Lett. 11, 874 (1999).
    [CrossRef]
  7. S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
    [CrossRef]
  8. F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
    [CrossRef]
  9. J. Capmany, E. Peral, and D. Pastor, IEEE Photon. Technol. Lett. 12, 278 (2000).
    [CrossRef]

2000 (1)

J. Capmany, E. Peral, and D. Pastor, IEEE Photon. Technol. Lett. 12, 278 (2000).
[CrossRef]

1999 (2)

D. B. Hunter and R. A. Minasian, IEEE Photon. Technol. Lett. 11, 874 (1999).
[CrossRef]

J. Capmany, D. Pastor, and B. Ortega, IEEE Trans. Microwave Theory Tech. 47, 1321 (1999).
[CrossRef]

1998 (3)

D. Pastor and J. Capmany, Electron. Lett. 36, 1684 (1998).
[CrossRef]

W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
[CrossRef]

K. J. Williams, J. L. Dexter, and R. D. Esman, in IEEE International Topical Meeting on Microwave Photonics (MWP’98) (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 187–189.

1997 (1)

D. B. Hunter and R. A. Minasian, IEEE Trans. Microwave Theory Tech. 8, 1463 (1997).
[CrossRef]

1995 (2)

S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
[CrossRef]

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
[CrossRef]

Bennion, I.

W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
[CrossRef]

Capmany, J.

J. Capmany, E. Peral, and D. Pastor, IEEE Photon. Technol. Lett. 12, 278 (2000).
[CrossRef]

J. Capmany, D. Pastor, and B. Ortega, IEEE Trans. Microwave Theory Tech. 47, 1321 (1999).
[CrossRef]

D. Pastor and J. Capmany, Electron. Lett. 36, 1684 (1998).
[CrossRef]

S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
[CrossRef]

Coppinger, F.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
[CrossRef]

Dexter, J. L.

K. J. Williams, J. L. Dexter, and R. D. Esman, in IEEE International Topical Meeting on Microwave Photonics (MWP’98) (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 187–189.

Esman, R. D.

K. J. Williams, J. L. Dexter, and R. D. Esman, in IEEE International Topical Meeting on Microwave Photonics (MWP’98) (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 187–189.

Everall, L. A.

W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
[CrossRef]

Hunter, D. B.

D. B. Hunter and R. A. Minasian, IEEE Photon. Technol. Lett. 11, 874 (1999).
[CrossRef]

D. B. Hunter and R. A. Minasian, IEEE Trans. Microwave Theory Tech. 8, 1463 (1997).
[CrossRef]

Jalali, B.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
[CrossRef]

Martí, J.

S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
[CrossRef]

Minasian, R. A.

D. B. Hunter and R. A. Minasian, IEEE Photon. Technol. Lett. 11, 874 (1999).
[CrossRef]

D. B. Hunter and R. A. Minasian, IEEE Trans. Microwave Theory Tech. 8, 1463 (1997).
[CrossRef]

Ortega, B.

J. Capmany, D. Pastor, and B. Ortega, IEEE Trans. Microwave Theory Tech. 47, 1321 (1999).
[CrossRef]

Pastor, D.

J. Capmany, E. Peral, and D. Pastor, IEEE Photon. Technol. Lett. 12, 278 (2000).
[CrossRef]

J. Capmany, D. Pastor, and B. Ortega, IEEE Trans. Microwave Theory Tech. 47, 1321 (1999).
[CrossRef]

D. Pastor and J. Capmany, Electron. Lett. 36, 1684 (1998).
[CrossRef]

S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
[CrossRef]

Peral, E.

J. Capmany, E. Peral, and D. Pastor, IEEE Photon. Technol. Lett. 12, 278 (2000).
[CrossRef]

Sales, S.

S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
[CrossRef]

Trinh, P. D.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
[CrossRef]

Williams, J. A. R.

W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
[CrossRef]

Williams, K. J.

K. J. Williams, J. L. Dexter, and R. D. Esman, in IEEE International Topical Meeting on Microwave Photonics (MWP’98) (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 187–189.

Yegnanarayanan, S.

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
[CrossRef]

Zhang, W.

W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
[CrossRef]

Electron. Lett. (4)

D. Pastor and J. Capmany, Electron. Lett. 36, 1684 (1998).
[CrossRef]

W. Zhang, J. A. R. Williams, L. A. Everall, and I. Bennion, Electron. Lett. 34, 1770 (1998).
[CrossRef]

S. Sales, J. Capmany, J. Martí, and D. Pastor, Electron. Lett. 33, 1095 (1995).
[CrossRef]

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, Electron. Lett. 33, 973 (1995).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

J. Capmany, E. Peral, and D. Pastor, IEEE Photon. Technol. Lett. 12, 278 (2000).
[CrossRef]

D. B. Hunter and R. A. Minasian, IEEE Photon. Technol. Lett. 11, 874 (1999).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

J. Capmany, D. Pastor, and B. Ortega, IEEE Trans. Microwave Theory Tech. 47, 1321 (1999).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

D. B. Hunter and R. A. Minasian, IEEE Trans. Microwave Theory Tech. 8, 1463 (1997).
[CrossRef]

Other (1)

K. J. Williams, J. L. Dexter, and R. D. Esman, in IEEE International Topical Meeting on Microwave Photonics (MWP’98) (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 187–189.

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Figures (5)

Fig. 1
Fig. 1

Top, typical modulation curve of a MZM. Bottom, illustration of the phase inversion suffered by a rf modulating signal.

Fig. 2
Fig. 2

Experimental layout of a six-tap filter with three negative coefficients achieved with a tunable laser array. LCFBG, linearly chirped fiber Bragg grating.

Fig. 3
Fig. 3

Top, measured modulus of the transfer function for a filter with uniform coefficients with the setup of Fig. 2: experimental (solid curve) and theoretical (dashed curve). Bottom, measured group delay for the same filter.

Fig. 4
Fig. 4

Measured modulus of the transfer function for the filter of Fig. 3 with positive and negative coefficients (solid curve) and with only positive coefficients (dashed curve).

Fig. 5
Fig. 5

Top, apodization (windowing) function for the samples (solid lines) and with only positive coefficients (dashed curve). Bottom, measured and computed moduli (solid curve) of the transfer function for the filter with Gaussian apodization and negative coefficients (samples 2, 4, and 6). Also, for reference we show (dashed curve) the transfer function of the filter with uniform coefficients.

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