Abstract

We demonstrate a photonic RF Hilbert transformer for broadband microwave in-phase and quadrature-phase generation based on an integrated frequency optical comb, generated using a nonlinear microring resonator based on a CMOS compatible, high-index contrast, doped-silica glass platform. The high quality and large frequency spacing of the comb enables filters with up to 20 taps, allowing us to demonstrate a quadrature filter with more than a 5-octave (3 dB) bandwidth and an almost uniform phase response.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Wideband RF photonic in-phase and quadrature-phase generation

Hossein Emami, Niusha Sarkhosh, Lam Anh Bui, and Arnan Mitchell
Opt. Lett. 33(2) 98-100 (2008)

Novel programmable microwave photonic filter with arbitrary filtering shape and linear phase

Xiaoqi Zhu, Feiya Chen, Huanfa Peng, and Zhangyuan Chen
Opt. Express 25(8) 9232-9243 (2017)

Novel microwave photonic fractional Hilbert transformer using a ring resonator-based optical all-pass filter

Leimeng Zhuang, Muhammad Rezaul Khan, Willem Beeker, Arne Leinse, René Heideman, and Chris Roeloffzen
Opt. Express 20(24) 26499-26510 (2012)

References

  • View by:
  • |
  • |
  • |

  1. S. L. Hahn, “Hilbert Transforms,” in Transforms and Applications Handbook, A. D. Poularikas, ed., 3rd ed. (CRC, 2010).
  2. L. Chiu and Q. Xue, “Investigation of a wideband 90° hybrid coupler with an arbitrary coupling level,” IEEE Trans. Microw. Theory Tech. 58(4), 1022–1029 (2010).
    [Crossref]
  3. M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
    [Crossref]
  4. C. Holdenried, J. Haslett, and B. Davies, “A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband,” IEEE Microw. Wirel. Compon. Lett. 15(5), 303–305 (2005).
    [Crossref]
  5. S. Vakin, L. Shustov, and R. Dunwell, Fundamentals of Electronic Warfare (Artech House Publishers, 2001).
  6. C. Sima, J. C. Gates, H. L. Rogers, P. L. Mennea, C. Holmes, M. N. Zervas, and P. G. R. Smith, “Phase controlled integrated interferometric single-sideband filter based on planar Bragg gratings implementing photonic Hilbert transform,” Opt. Lett. 38(5), 727–729 (2013).
    [Crossref] [PubMed]
  7. M. Li and J. Yao, “All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating,” Opt. Lett. 35(2), 223–225 (2010).
    [Crossref] [PubMed]
  8. M. Li and J. Yao, “Experimental demonstration of a wideband photonic temporal Hilbert transformer based on a single fiber Bragg grating,” IEEE Photonics Technol. Lett. 22(21), 1559–1561 (2010).
    [Crossref]
  9. T. X. H. Huang, X. Yi, and R. A. Minasian, “Microwave photonic quadrature filter based on an all-optical programmable Hilbert transformer,” Opt. Lett. 36(22), 4440–4442 (2011).
    [Crossref] [PubMed]
  10. H. Shahoei, P. Dumais, and J. Yao, “Continuously tunable photonic fractional Hilbert transformer using a high-contrast germanium-doped silica-on-silicon microring resonator,” Opt. Lett. 39(9), 2778–2781 (2014).
    [Crossref] [PubMed]
  11. J. Capmany, B. Ortega, and D. Pastor, “A tutorial on microwave photonic filters,” J. Lightwave Technol. 24(1), 201–229 (2006).
    [Crossref]
  12. H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, “Wideband RF photonic in-phase and quadrature-phase generation,” Opt. Lett. 33(2), 98–100 (2008).
    [Crossref] [PubMed]
  13. H. Emami and N. Sarkhosh, “Reconfigurable microwave photonic in-phase and quadrature detector for frequency agile radar,” J. Opt. Soc. Am. A 31(6), 1320–1325 (2014).
    [Crossref] [PubMed]
  14. L. A. Bui and A. Mitchell, “Amplitude independent instantaneous frequency measurement using all optical technique,” Opt. Express 21(24), 29601–29611 (2013).
    [Crossref] [PubMed]
  15. H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, “Amplitude independent RF instantaneous frequency measurement system using photonic Hilbert transform,” Opt. Express 16(18), 13707–13712 (2008).
    [Crossref] [PubMed]
  16. L. A. Bui, M. D. Pelusi, T. D. Vo, N. Sarkhosh, H. Emami, B. J. Eggleton, and A. Mitchell, “Instantaneous frequency measurement system using optical mixing in highly nonlinear fiber,” Opt. Express 17(25), 22983–22991 (2009).
    [Crossref] [PubMed]
  17. A. Ortigosa-Blanch, J. Mora, J. Capmany, B. Ortega, and D. Pastor, “Tunable radio-frequency photonic filter based on an actively mode-locked fiber laser,” Opt. Lett. 31(6), 709–711 (2006).
    [Crossref] [PubMed]
  18. V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
    [Crossref]
  19. V. Torres-Company and A. M. Weiner, “Optical frequency comb technology for ultra-broadband radio-frequency photonics,” Laser Photonics Rev. 8(3), 368–393 (2014).
    [Crossref]
  20. T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
    [Crossref] [PubMed]
  21. M. A. Foster, J. S. Levy, O. Kuzucu, K. Saha, M. Lipson, and A. L. Gaeta, “Silicon-based monolithic optical frequency comb source,” Opt. Express 19(15), 14233–14239 (2011).
    [Crossref] [PubMed]
  22. M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
    [Crossref] [PubMed]
  23. A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
    [Crossref] [PubMed]
  24. D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, “New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics,” Nat. Photonics 7(8), 597–607 (2013).
    [Crossref]
  25. L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
    [Crossref]
  26. X. Xue, Y. Xuan, H.-J. Kim, J. Wang, D. E. Leaird, M. Qi, and A. M. Weiner, “Programmable single-bandpass photonic RF filter based on Kerr comb from a microring,” J. Lightwave Technol. 32(20), 3557–3565 (2014).
    [Crossref]
  27. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
    [Crossref]
  28. B. E. Little, J.-P. Laine, and S. T. Chu, “Surface-roughness-induced contradirectional coupling in ring and disk resonators,” Opt. Lett. 22(1), 4–6 (1997).
    [Crossref] [PubMed]
  29. G. C. Ballesteros, J. Matres, J. Martí, and C. J. Oton, “Characterizing and modeling backscattering in silicon microring resonators,” Opt. Express 19(25), 24980–24985 (2011).
    [Crossref] [PubMed]
  30. T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
    [Crossref]
  31. V. Torres-Company, D. Castelló-Lurbe, and E. Silvestre, “Comparative analysis of spectral coherence in microresonator frequency combs,” Opt. Express 22(4), 4678–4691 (2014).
    [Crossref] [PubMed]
  32. VPIphotonics, Transmission & Component Design Suite, http://www.vpiphotonics.com .
  33. X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
    [Crossref]
  34. X. Xue, X. Zheng, H. Zhang, and B. Zhou, “Analysis and compensation of third-order dispersion induced RF distortions in highly reconfigurable microwave photonic filters,” J. Lightwave Technol. 31(13), 2263–2270 (2013).
    [Crossref]
  35. C. E. Rogers, J. L. Carini, J. A. Pechkis, and P. L. Gould, “Characterization and compensation of the residual chirp in a Mach-Zehnder-type electro-optical intensity modulator,” Opt. Express 18(2), 1166–1176 (2010).
    [Crossref] [PubMed]

2014 (6)

2013 (5)

2012 (4)

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
[Crossref]

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

2011 (4)

2010 (4)

C. E. Rogers, J. L. Carini, J. A. Pechkis, and P. L. Gould, “Characterization and compensation of the residual chirp in a Mach-Zehnder-type electro-optical intensity modulator,” Opt. Express 18(2), 1166–1176 (2010).
[Crossref] [PubMed]

M. Li and J. Yao, “All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating,” Opt. Lett. 35(2), 223–225 (2010).
[Crossref] [PubMed]

L. Chiu and Q. Xue, “Investigation of a wideband 90° hybrid coupler with an arbitrary coupling level,” IEEE Trans. Microw. Theory Tech. 58(4), 1022–1029 (2010).
[Crossref]

M. Li and J. Yao, “Experimental demonstration of a wideband photonic temporal Hilbert transformer based on a single fiber Bragg grating,” IEEE Photonics Technol. Lett. 22(21), 1559–1561 (2010).
[Crossref]

2009 (2)

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

L. A. Bui, M. D. Pelusi, T. D. Vo, N. Sarkhosh, H. Emami, B. J. Eggleton, and A. Mitchell, “Instantaneous frequency measurement system using optical mixing in highly nonlinear fiber,” Opt. Express 17(25), 22983–22991 (2009).
[Crossref] [PubMed]

2008 (3)

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, “Wideband RF photonic in-phase and quadrature-phase generation,” Opt. Lett. 33(2), 98–100 (2008).
[Crossref] [PubMed]

H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, “Amplitude independent RF instantaneous frequency measurement system using photonic Hilbert transform,” Opt. Express 16(18), 13707–13712 (2008).
[Crossref] [PubMed]

2006 (2)

2005 (1)

C. Holdenried, J. Haslett, and B. Davies, “A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband,” IEEE Microw. Wirel. Compon. Lett. 15(5), 303–305 (2005).
[Crossref]

1997 (1)

Arigong, B.

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

Ballesteros, G. C.

Bui, L. A.

Capmany, J.

Carini, J. L.

Caspani, L.

Castelló-Lurbe, D.

Chiu, L.

L. Chiu and Q. Xue, “Investigation of a wideband 90° hybrid coupler with an arbitrary coupling level,” IEEE Trans. Microw. Theory Tech. 58(4), 1022–1029 (2010).
[Crossref]

Chu, S.

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Chu, S. T.

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

B. E. Little, J.-P. Laine, and S. T. Chu, “Surface-roughness-induced contradirectional coupling in ring and disk resonators,” Opt. Lett. 22(1), 4–6 (1997).
[Crossref] [PubMed]

Clerici, M.

Davies, B.

C. Holdenried, J. Haslett, and B. Davies, “A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband,” IEEE Microw. Wirel. Compon. Lett. 15(5), 303–305 (2005).
[Crossref]

Diddams, S. A.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

Duchesne, D.

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Dumais, P.

Eggleton, B. J.

Emami, H.

Ferdous, F.

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Ferrera, M.

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Foster, M. A.

Gaeta, A. L.

D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, “New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics,” Nat. Photonics 7(8), 597–607 (2013).
[Crossref]

M. A. Foster, J. S. Levy, O. Kuzucu, K. Saha, M. Lipson, and A. L. Gaeta, “Silicon-based monolithic optical frequency comb source,” Opt. Express 19(15), 14233–14239 (2011).
[Crossref] [PubMed]

Gates, J. C.

Gavartin, E.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Gorodetsky, L. M.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Gould, P. L.

Hamidi, E.

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Hartinger, K.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Haslett, J.

C. Holdenried, J. Haslett, and B. Davies, “A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband,” IEEE Microw. Wirel. Compon. Lett. 15(5), 303–305 (2005).
[Crossref]

Herr, T.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Holdenried, C.

C. Holdenried, J. Haslett, and B. Davies, “A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband,” IEEE Microw. Wirel. Compon. Lett. 15(5), 303–305 (2005).
[Crossref]

Holmes, C.

Holzwarth, R.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

Huang, T.

X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
[Crossref]

Huang, T. X. H.

Kim, H.-J.

Kippenberg, J. T.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Kippenberg, T. J.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

Kuzucu, O.

Laine, J.-P.

Leaird, D. E.

X. Xue, Y. Xuan, H.-J. Kim, J. Wang, D. E. Leaird, M. Qi, and A. M. Weiner, “Programmable single-bandpass photonic RF filter based on Kerr comb from a microring,” J. Lightwave Technol. 32(20), 3557–3565 (2014).
[Crossref]

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Levy, J. S.

Li, L.

X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
[Crossref]

Li, M.

M. Li and J. Yao, “Experimental demonstration of a wideband photonic temporal Hilbert transformer based on a single fiber Bragg grating,” IEEE Photonics Technol. Lett. 22(21), 1559–1561 (2010).
[Crossref]

M. Li and J. Yao, “All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating,” Opt. Lett. 35(2), 223–225 (2010).
[Crossref] [PubMed]

Lipson, M.

D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, “New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics,” Nat. Photonics 7(8), 597–607 (2013).
[Crossref]

M. A. Foster, J. S. Levy, O. Kuzucu, K. Saha, M. Lipson, and A. L. Gaeta, “Silicon-based monolithic optical frequency comb source,” Opt. Express 19(15), 14233–14239 (2011).
[Crossref] [PubMed]

Liscidini, M.

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Little, B. E.

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

B. E. Little, J.-P. Laine, and S. T. Chu, “Surface-roughness-induced contradirectional coupling in ring and disk resonators,” Opt. Lett. 22(1), 4–6 (1997).
[Crossref] [PubMed]

Long, C. M.

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Martí, J.

Matres, J.

Mennea, P. L.

Minasian, R.

X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
[Crossref]

Minasian, R. A.

Mitchell, A.

Mora, J.

Morandotti, R.

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, “New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics,” Nat. Photonics 7(8), 597–607 (2013).
[Crossref]

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Moss, D. J.

D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, “New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics,” Nat. Photonics 7(8), 597–607 (2013).
[Crossref]

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Ortega, B.

Ortigosa-Blanch, A.

Oton, C. J.

Park, Y.

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

Pasquazi, A.

Pastor, D.

Peccianti, M.

Pechkis, J. A.

Pelusi, M. D.

Qi, M.

Razzari, L.

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Ren, H.

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

Riemensberger, J.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Rogers, C. E.

Rogers, H. L.

Saha, K.

Sarkhosh, N.

Shahoei, H.

Shao, J.

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

Silvestre, E.

Sima, C.

Sipe, J. E.

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Smith, P. G. R.

Supradeepa, V. R.

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Torres-Company, V.

V. Torres-Company and A. M. Weiner, “Optical frequency comb technology for ultra-broadband radio-frequency photonics,” Laser Photonics Rev. 8(3), 368–393 (2014).
[Crossref]

V. Torres-Company, D. Castelló-Lurbe, and E. Silvestre, “Comparative analysis of spectral coherence in microresonator frequency combs,” Opt. Express 22(4), 4678–4691 (2014).
[Crossref] [PubMed]

Vo, T. D.

Wang, J.

Wang, Y. C.

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

Weiner, A. M.

V. Torres-Company and A. M. Weiner, “Optical frequency comb technology for ultra-broadband radio-frequency photonics,” Laser Photonics Rev. 8(3), 368–393 (2014).
[Crossref]

X. Xue, Y. Xuan, H.-J. Kim, J. Wang, D. E. Leaird, M. Qi, and A. M. Weiner, “Programmable single-bandpass photonic RF filter based on Kerr comb from a microring,” J. Lightwave Technol. 32(20), 3557–3565 (2014).
[Crossref]

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Wu, R.

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Xuan, Y.

Xue, Q.

L. Chiu and Q. Xue, “Investigation of a wideband 90° hybrid coupler with an arbitrary coupling level,” IEEE Trans. Microw. Theory Tech. 58(4), 1022–1029 (2010).
[Crossref]

Xue, X.

Yang, Z.

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

Yao, J.

Yi, X.

X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
[Crossref]

T. X. H. Huang, X. Yi, and R. A. Minasian, “Microwave photonic quadrature filter based on an all-optical programmable Hilbert transformer,” Opt. Lett. 36(22), 4440–4442 (2011).
[Crossref] [PubMed]

Zervas, M. N.

Zhang, H.

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

X. Xue, X. Zheng, H. Zhang, and B. Zhou, “Analysis and compensation of third-order dispersion induced RF distortions in highly reconfigurable microwave photonic filters,” J. Lightwave Technol. 31(13), 2263–2270 (2013).
[Crossref]

Zheng, X.

Zhou, B.

Zhou, M.

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

Zhou, R.

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

IEEE Microw. Wirel. Compon. Lett. (1)

C. Holdenried, J. Haslett, and B. Davies, “A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband,” IEEE Microw. Wirel. Compon. Lett. 15(5), 303–305 (2005).
[Crossref]

IEEE Photonics Technol. Lett. (2)

M. Li and J. Yao, “Experimental demonstration of a wideband photonic temporal Hilbert transformer based on a single fiber Bragg grating,” IEEE Photonics Technol. Lett. 22(21), 1559–1561 (2010).
[Crossref]

X. Yi, T. Huang, L. Li, and R. Minasian, “Overcoming tap-delay-variation induced distortion in microwave photonic filters,” IEEE Photonics Technol. Lett. 24(8), 691–693 (2012).
[Crossref]

IEEE Trans. Microw. Theory Tech. (2)

L. Chiu and Q. Xue, “Investigation of a wideband 90° hybrid coupler with an arbitrary coupling level,” IEEE Trans. Microw. Theory Tech. 58(4), 1022–1029 (2010).
[Crossref]

M. Zhou, J. Shao, B. Arigong, H. Ren, R. Zhou, and H. Zhang, “A varactor based 90° directional coupler with tunable coupling ratios and reconfigurable responses,” IEEE Trans. Microw. Theory Tech. 62(3), 416–421 (2014).
[Crossref]

J. Lightwave Technol. (3)

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

Laser Photonics Rev. (1)

V. Torres-Company and A. M. Weiner, “Optical frequency comb technology for ultra-broadband radio-frequency photonics,” Laser Photonics Rev. 8(3), 368–393 (2014).
[Crossref]

Nat. Commun. (1)

M. Peccianti, A. Pasquazi, Y. Park, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Demonstration of a stable ultrafast laser based on a nonlinear microcavity,” Nat. Commun. 3, 765 (2012).
[Crossref] [PubMed]

Nat. Photonics (5)

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(2), 737–740 (2008).
[Crossref]

D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, “New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics,” Nat. Photonics 7(8), 597–607 (2013).
[Crossref]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. T. Chu, B. E. Little, and D. J. Moss, “CMOS-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics 4(1), 41–45 (2009).
[Crossref]

T. Herr, K. Hartinger, J. Riemensberger, Y. C. Wang, E. Gavartin, R. Holzwarth, L. M. Gorodetsky, and J. T. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photonics 6(7), 480–487 (2012).
[Crossref]

V. R. Supradeepa, C. M. Long, R. Wu, F. Ferdous, E. Hamidi, D. E. Leaird, and A. M. Weiner, “Comb-based radiofrequency photonic filters with rapid tunability and high selectivity,” Nat. Photonics 6(3), 186–194 (2012).
[Crossref]

Opt. Express (8)

L. A. Bui and A. Mitchell, “Amplitude independent instantaneous frequency measurement using all optical technique,” Opt. Express 21(24), 29601–29611 (2013).
[Crossref] [PubMed]

H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, “Amplitude independent RF instantaneous frequency measurement system using photonic Hilbert transform,” Opt. Express 16(18), 13707–13712 (2008).
[Crossref] [PubMed]

L. A. Bui, M. D. Pelusi, T. D. Vo, N. Sarkhosh, H. Emami, B. J. Eggleton, and A. Mitchell, “Instantaneous frequency measurement system using optical mixing in highly nonlinear fiber,” Opt. Express 17(25), 22983–22991 (2009).
[Crossref] [PubMed]

V. Torres-Company, D. Castelló-Lurbe, and E. Silvestre, “Comparative analysis of spectral coherence in microresonator frequency combs,” Opt. Express 22(4), 4678–4691 (2014).
[Crossref] [PubMed]

M. A. Foster, J. S. Levy, O. Kuzucu, K. Saha, M. Lipson, and A. L. Gaeta, “Silicon-based monolithic optical frequency comb source,” Opt. Express 19(15), 14233–14239 (2011).
[Crossref] [PubMed]

G. C. Ballesteros, J. Matres, J. Martí, and C. J. Oton, “Characterizing and modeling backscattering in silicon microring resonators,” Opt. Express 19(25), 24980–24985 (2011).
[Crossref] [PubMed]

C. E. Rogers, J. L. Carini, J. A. Pechkis, and P. L. Gould, “Characterization and compensation of the residual chirp in a Mach-Zehnder-type electro-optical intensity modulator,” Opt. Express 18(2), 1166–1176 (2010).
[Crossref] [PubMed]

A. Pasquazi, L. Caspani, M. Peccianti, M. Clerici, M. Ferrera, L. Razzari, D. Duchesne, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, “Self-locked optical parametric oscillation in a CMOS compatible microring resonator: a route to robust optical frequency comb generation on a chip,” Opt. Express 21(11), 13333–13341 (2013).
[Crossref] [PubMed]

Opt. Lett. (7)

B. E. Little, J.-P. Laine, and S. T. Chu, “Surface-roughness-induced contradirectional coupling in ring and disk resonators,” Opt. Lett. 22(1), 4–6 (1997).
[Crossref] [PubMed]

A. Ortigosa-Blanch, J. Mora, J. Capmany, B. Ortega, and D. Pastor, “Tunable radio-frequency photonic filter based on an actively mode-locked fiber laser,” Opt. Lett. 31(6), 709–711 (2006).
[Crossref] [PubMed]

H. Emami, N. Sarkhosh, L. A. Bui, and A. Mitchell, “Wideband RF photonic in-phase and quadrature-phase generation,” Opt. Lett. 33(2), 98–100 (2008).
[Crossref] [PubMed]

T. X. H. Huang, X. Yi, and R. A. Minasian, “Microwave photonic quadrature filter based on an all-optical programmable Hilbert transformer,” Opt. Lett. 36(22), 4440–4442 (2011).
[Crossref] [PubMed]

H. Shahoei, P. Dumais, and J. Yao, “Continuously tunable photonic fractional Hilbert transformer using a high-contrast germanium-doped silica-on-silicon microring resonator,” Opt. Lett. 39(9), 2778–2781 (2014).
[Crossref] [PubMed]

C. Sima, J. C. Gates, H. L. Rogers, P. L. Mennea, C. Holmes, M. N. Zervas, and P. G. R. Smith, “Phase controlled integrated interferometric single-sideband filter based on planar Bragg gratings implementing photonic Hilbert transform,” Opt. Lett. 38(5), 727–729 (2013).
[Crossref] [PubMed]

M. Li and J. Yao, “All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating,” Opt. Lett. 35(2), 223–225 (2010).
[Crossref] [PubMed]

Science (1)

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

Other (3)

VPIphotonics, Transmission & Component Design Suite, http://www.vpiphotonics.com .

S. Vakin, L. Shustov, and R. Dunwell, Fundamentals of Electronic Warfare (Artech House Publishers, 2001).

S. L. Hahn, “Hilbert Transforms,” in Transforms and Applications Handbook, A. D. Poularikas, ed., 3rd ed. (CRC, 2010).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (8)

Fig. 1
Fig. 1 Working principle of a transversal Hilbert transformer: (a) - (b) Ideal, continuous hyperbolic and discretely sampled impulse response with time spacing Δt = 59 ps. Corresponding (c) amplitude and (d) phase response for the continuous and discrete cases, respectively.
Fig. 2
Fig. 2 System implementation of a Hilbert transformer exploiting a microring-based comb source. VNA is a Vector Network Analyzer, WS = wavelength selective switch, VOL = variable optical attenuator.
Fig. 3
Fig. 3 (a) The wavelength response of the drop-port of the microring resonator; (b) zoom-in of a resonance close to 1550nm showing the resonance width (FWHM) of 1.2 pm (150 MHz)
Fig. 4
Fig. 4 Spectrum of the comb generated from the microring, measured by an OSA with a resolution of 0.5nm. Inset: Zoom-in of the spectrum around the pump wavelength.
Fig. 5
Fig. 5 EDFA2 output showing the weight of each tap for: (a) 12 tap filter, and (b) 20 tap filter
Fig. 6
Fig. 6 Measured system RF frequency response for different number of filter taps: (a) amplitude; and (b) phase response
Fig. 7
Fig. 7 Measured system RF frequency response of the 20 tap filter measured at different times: (a) amplitude; and (b) phase response
Fig. 8
Fig. 8 The measured and simulated phase responses of the 16 tap filters. Simulated results showing the effects of: (a) tap coefficient error Δpn, third order dispersion in the fibre delay line, and (b) the modulator chirp αMZM.

Equations (1)

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

p n = 1 π| nN/2+0.5 |

Metrics