Abstract

A microwave photonic quadrature filter, new to our knowledge, based on an all-optical Hilbert transformer is presented. It is based on mapping of a Hilbert transform transfer function between the optical and electrical domains, using a programmable Fourier-domain optical processor and high-speed photodiodes. The technique enables the realization of an extremely wide operating bandwidth, tunable programmable bandwidth, and a highly precise amplitude and phase response. Experimental results demonstrate a microwave quadrature filter from 10 to 20GHz, which achieves an amplitude imbalance of less than ±0.23dB and a phase imbalance of less than ±0.5°.

© 2011 Optical Society of America

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References

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  1. R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
    [CrossRef]
  2. J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
    [CrossRef]
  3. S. L. Hahn, in The Transforms and Applications Handbook, 2nd ed., A.D.Poularikas, ed. (CRC Press, 2000).
  4. C. D. Holdenried, J. W. Haslett, and B. Davies, IEEE Microwave Wirel. Compon. Lett. 15, 303 (2005).
    [CrossRef]
  5. L. Chiu and Q. Xue, Electron. Lett. 44, 687 (2008).
    [CrossRef]
  6. L. Chiu and Q. Xue, IEEE Trans. Microwave Theory Tech. 58, 1022 (2010).
    [CrossRef]
  7. K. Takano, N. Hanzawa, S. Tanji, and K. Nakagawa, in Optical Fiber Communication and the National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA48.
  8. H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, Opt. Lett. 33, 98 (2008).
    [CrossRef] [PubMed]
  9. M. H. Asghari and J. Azana, Opt. Lett. 34, 334 (2009).
    [CrossRef] [PubMed]
  10. M. Li and J. P. Yao, IEEE Photon. Technol. Lett. 22, 1559(2010).
    [CrossRef]
  11. M. A. F. Roelens, S. Frisken, J. A. Bolger, D. Abakoumov, G. Baxter, S. Poole, and B. J. Eggleton, J. Lightwave Technol. 26, 73 (2008).
    [CrossRef]
  12. K. Takano and K. Nakagawa, in Integrated Photonics Research, A.Sawchuk, ed., Vol.  78 of OSA Trends Optics Photonics (Optical Society of America, 2002), paper IFA2.
  13. G. Betts, in RF Photonic Technology in Optical Fiber Links, W.Chang, ed. (Cambridge University, 2002), Chap. 4.

2010 (2)

L. Chiu and Q. Xue, IEEE Trans. Microwave Theory Tech. 58, 1022 (2010).
[CrossRef]

M. Li and J. P. Yao, IEEE Photon. Technol. Lett. 22, 1559(2010).
[CrossRef]

2009 (1)

2008 (3)

2007 (1)

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

2006 (1)

R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
[CrossRef]

2005 (1)

C. D. Holdenried, J. W. Haslett, and B. Davies, IEEE Microwave Wirel. Compon. Lett. 15, 303 (2005).
[CrossRef]

Abakoumov, D.

Asghari, M. H.

Azana, J.

Baxter, G.

Betts, G.

G. Betts, in RF Photonic Technology in Optical Fiber Links, W.Chang, ed. (Cambridge University, 2002), Chap. 4.

Bolger, J. A.

Bui, L. A.

Capmany, J.

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

Chiu, L.

L. Chiu and Q. Xue, IEEE Trans. Microwave Theory Tech. 58, 1022 (2010).
[CrossRef]

L. Chiu and Q. Xue, Electron. Lett. 44, 687 (2008).
[CrossRef]

Davies, B.

C. D. Holdenried, J. W. Haslett, and B. Davies, IEEE Microwave Wirel. Compon. Lett. 15, 303 (2005).
[CrossRef]

Eggleton, B. J.

Emami, H.

Frisken, S.

Hahn, S. L.

S. L. Hahn, in The Transforms and Applications Handbook, 2nd ed., A.D.Poularikas, ed. (CRC Press, 2000).

Hanzawa, N.

K. Takano, N. Hanzawa, S. Tanji, and K. Nakagawa, in Optical Fiber Communication and the National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA48.

Haslett, J. W.

C. D. Holdenried, J. W. Haslett, and B. Davies, IEEE Microwave Wirel. Compon. Lett. 15, 303 (2005).
[CrossRef]

Holdenried, C. D.

C. D. Holdenried, J. W. Haslett, and B. Davies, IEEE Microwave Wirel. Compon. Lett. 15, 303 (2005).
[CrossRef]

Li, M.

M. Li and J. P. Yao, IEEE Photon. Technol. Lett. 22, 1559(2010).
[CrossRef]

Minasian, R. A.

R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
[CrossRef]

Mitchell, A.

Nakagawa, K.

K. Takano and K. Nakagawa, in Integrated Photonics Research, A.Sawchuk, ed., Vol.  78 of OSA Trends Optics Photonics (Optical Society of America, 2002), paper IFA2.

K. Takano, N. Hanzawa, S. Tanji, and K. Nakagawa, in Optical Fiber Communication and the National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA48.

Novak, D.

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

Poole, S.

Roelens, M. A. F.

Sarkhosh, N.

Takano, K.

K. Takano, N. Hanzawa, S. Tanji, and K. Nakagawa, in Optical Fiber Communication and the National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA48.

K. Takano and K. Nakagawa, in Integrated Photonics Research, A.Sawchuk, ed., Vol.  78 of OSA Trends Optics Photonics (Optical Society of America, 2002), paper IFA2.

Tanji, S.

K. Takano, N. Hanzawa, S. Tanji, and K. Nakagawa, in Optical Fiber Communication and the National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA48.

Xue, Q.

L. Chiu and Q. Xue, IEEE Trans. Microwave Theory Tech. 58, 1022 (2010).
[CrossRef]

L. Chiu and Q. Xue, Electron. Lett. 44, 687 (2008).
[CrossRef]

Yao, J. P.

M. Li and J. P. Yao, IEEE Photon. Technol. Lett. 22, 1559(2010).
[CrossRef]

Electron. Lett. (1)

L. Chiu and Q. Xue, Electron. Lett. 44, 687 (2008).
[CrossRef]

IEEE Microwave Wirel. Compon. Lett. (1)

C. D. Holdenried, J. W. Haslett, and B. Davies, IEEE Microwave Wirel. Compon. Lett. 15, 303 (2005).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

M. Li and J. P. Yao, IEEE Photon. Technol. Lett. 22, 1559(2010).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (2)

L. Chiu and Q. Xue, IEEE Trans. Microwave Theory Tech. 58, 1022 (2010).
[CrossRef]

R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
[CrossRef]

J. Lightwave Technol. (1)

Nat. Photon. (1)

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

Opt. Lett. (2)

Other (4)

K. Takano and K. Nakagawa, in Integrated Photonics Research, A.Sawchuk, ed., Vol.  78 of OSA Trends Optics Photonics (Optical Society of America, 2002), paper IFA2.

G. Betts, in RF Photonic Technology in Optical Fiber Links, W.Chang, ed. (Cambridge University, 2002), Chap. 4.

S. L. Hahn, in The Transforms and Applications Handbook, 2nd ed., A.D.Poularikas, ed. (CRC Press, 2000).

K. Takano, N. Hanzawa, S. Tanji, and K. Nakagawa, in Optical Fiber Communication and the National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA48.

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Figures (5)

Fig. 1
Fig. 1

Schematic diagram of microwave photonic Hilbert transformer. PD, photodiode.

Fig. 2
Fig. 2

Programmable transfer function. (a) Optical Hilbert transform filter; (b) zero-phase all-pass filter.

Fig. 3
Fig. 3

Experimental setup.

Fig. 4
Fig. 4

Magnitude response of the programmable optical filters (quadrature and in-phase channels).

Fig. 5
Fig. 5

Measured response of the microwave photonic Hilbert transformer. (a) RF magnitude; (b) RF phase.

Equations (5)

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

H t ( ω ) = { e j π / 2 ω 1 + B / 2 > ω > ω 1 e j π / 2 ω 1 B / 2 < ω < ω 1 ,
E 1 ( t ) P 1 ( e j ω 1 t + M e j [ ( ω 1 + ω m ) t π / 2 ] + M e j [ ( ω 1 ω m ) t + π / 2 ] ) ,
E 2 ( t ) P 2 ( e j ω 2 t + M e j ( ω 2 + ω m ) t + M e j ( ω 2 ω m ) t ) .
I 1 ( t ) P 1 M sin ( ω m t ) ,
I 2 ( t ) P 2 M cos ( ω m t ) .

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