Abstract

Vectorial optical arbitrary waveform generation is experimentally demonstrated by applying polarization line-by-line pulse shaping on a phase-modulated continuous laser frequency comb. Polarization shaped optical waveforms extending a 50-ps time window are successfully synthesized. Temporal Talbot effect is extended into the vectorial regime, where the distinct periodic temporal phases of the two orthogonally polarized pulse trains are exploited. In one example, we generate repetition-rate doubled circularly polarized pulses with alternating pulse-by-pulse handedness. In another example, complex instantaneous field polarizations are synthesized through the combination of line-by-line amplitude and temporal Talbot phase shaping. Our experimental results are measured through a dual-quadrature spectral interferometry system and are found in excellent agreements to the applied shaping controls.

© 2012 OSA

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2012

2011

2010

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

H.-P. Chuang and C.-B. Huang, “Generation and delivery of 1-ps optical pulses with ultrahigh repetition-rates over 25-km single mode fiber by a spectral line-by-line pulse shaper,” Opt. Express18(23), 24003–24011 (2010).
[CrossRef] [PubMed]

S. T. Cundiff and A. M. Weiner, “Optical arbitrary waveform generation,” Nat. Photonics4(11), 760–766 (2010).
[CrossRef]

L. Xu, H. Miao, and A. M. Weiner, “All-order polarization-mode-dispersion compensation at 40 Gb/s via hyperfine resolution optical pulse shaping,” IEEE Photon. Technol. Lett.22(15), 1078–1080 (2010).
[CrossRef]

M. T. Seidel, S. Yan, and H.-S. Tan, “Mid-infrared polarization pulse shaping by parametric transfer,” Opt. Lett.35(4), 478–480 (2010).
[CrossRef] [PubMed]

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

2009

2008

N. K. Fontaine, R. P. Scott, C. Yang, D. J. Geisler, J. P. Heritage, K. Okamoto, and S. J. B. Yoo, “Compact 10 GHz loopback arrayed-waveguide grating for high-fidelity optical arbitrary waveform generation,” Opt. Lett.33(15), 1714–1716 (2008).
[CrossRef] [PubMed]

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

2007

2006

2005

D. Pudo and L. R. Chen, “Tunable passive all-optical pulse repetition rate multiplier using fiber Bragg gratings,” J. Lightwave Technol.23(4), 1729–1733 (2005).
[CrossRef]

I. S. Lin, J. D. McKinney, and A. M. Weiner, “Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication,” IEEE Microw. Wirel. Compon. Lett.15(4), 226–228 (2005).
[CrossRef]

2004

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

2002

T. Brixner, G. Krampert, P. Niklaus, and G. Gerber, “Generation and characterization of polarization-shaped femtosecond laser pulses,” Appl. Phys. B74(9), S133–S144 (2002).
[CrossRef]

2001

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett.26(8), 557–559 (2001).
[CrossRef] [PubMed]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

J. Azaña and M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron.7(4), 728–744 (2001).
[CrossRef]

2000

C.-B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett.12(2), 167–169 (2000).
[CrossRef]

1991

P. G. Kwiat and R. Y. Chiao, “Observation of a nonclassical Berry’s phase for the photon,” Phys. Rev. Lett.66(5), 588–591 (1991).
[CrossRef] [PubMed]

1988

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

1984

M. V. Berry, “Quantal phase factors accompanying adiabatic changes,” Proc. R. Soc. Lond. A Math. Phys. Sci.392(1802), 45–57 (1984).
[CrossRef]

Aeschlimann, M.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Ahn, J.

Amano, K.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

Azaña, J.

Bauer, M.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Baumert, T.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Bayer, D.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Berry, M. V.

M. V. Berry, “Quantal phase factors accompanying adiabatic changes,” Proc. R. Soc. Lond. A Math. Phys. Sci.392(1802), 45–57 (1984).
[CrossRef]

Bolger, J.

Brixner, T.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

M. Ninck, A. Galler, T. Feurer, and T. Brixner, “Programmable common-path vector field synthesizer for femtosecond pulses,” Opt. Lett.32(23), 3379–3381 (2007).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, P. Niklaus, and G. Gerber, “Generation and characterization of polarization-shaped femtosecond laser pulses,” Appl. Phys. B74(9), S133–S144 (2002).
[CrossRef]

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett.26(8), 557–559 (2001).
[CrossRef] [PubMed]

Callender, C. L.

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

Caraquitena, J.

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

Chan, H.-S.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Chen, L. R.

Chen, N.-W.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Chiang, H.-C.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Chiao, R. Y.

P. G. Kwiat and R. Y. Chiao, “Observation of a nonclassical Berry’s phase for the photon,” Phys. Rev. Lett.66(5), 588–591 (1991).
[CrossRef] [PubMed]

Chiou, H.-K.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Chuang, H.-P.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

H.-P. Chuang and C.-B. Huang, “Generation and delivery of 1-ps optical pulses with ultrahigh repetition-rates over 25-km single mode fiber by a spectral line-by-line pulse shaper,” Opt. Express18(23), 24003–24011 (2010).
[CrossRef] [PubMed]

Cundiff, S. T.

S. T. Cundiff and A. M. Weiner, “Optical arbitrary waveform generation,” Nat. Photonics4(11), 760–766 (2010).
[CrossRef]

Cunovic, S.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Dimler, F.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Dumais, P.

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

Eggleton, B. J.

Feurer, T.

Fischer, A.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Fontaine, N. K.

Fukushima, Y.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

Galler, A.

Geisler, D. J.

Gerber, G.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, P. Niklaus, and G. Gerber, “Generation and characterization of polarization-shaped femtosecond laser pulses,” Appl. Phys. B74(9), S133–S144 (2002).
[CrossRef]

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett.26(8), 557–559 (2001).
[CrossRef] [PubMed]

Gerstel, O.

Graefe, O.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Gupta, S.

Gutiérrez-Vega, J. C.

He, T.

Heritage, J. P.

Horn, C.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Hsieh, Z.-M.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Huang, C.-B.

H.-P. Chuang and C.-B. Huang, “Generation and delivery of 1-ps optical pulses with ultrahigh repetition-rates over 25-km single mode fiber by a spectral line-by-line pulse shaper,” Opt. Express18(23), 24003–24011 (2010).
[CrossRef] [PubMed]

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

Z. Jiang, C.-B. Huang, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform processing of more than 100 spectral comb lines,” Nat. Photonics1(8), 463–467 (2007).
[CrossRef]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, “The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping,” Opt. Express14(26), 13164–13176 (2006).
[CrossRef] [PubMed]

C.-B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett.12(2), 167–169 (2000).
[CrossRef]

Ishii, M.

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Jacob, S.

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

Jiang, Z.

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

Z. Jiang, C.-B. Huang, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform processing of more than 100 spectral comb lines,” Nat. Photonics1(8), 463–467 (2007).
[CrossRef]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, “The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping,” Opt. Express14(26), 13164–13176 (2006).
[CrossRef] [PubMed]

Kamei, S.

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Kobayashi, T.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

Kostko, I. A.

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

Krampert, G.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, P. Niklaus, and G. Gerber, “Generation and characterization of polarization-shaped femtosecond laser pulses,” Appl. Phys. B74(9), S133–S144 (2002).
[CrossRef]

Kung, A. H.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Kuo, F.-M.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Kurokawa, T.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

Kwiat, P. G.

P. G. Kwiat and R. Y. Chiao, “Observation of a nonclassical Berry’s phase for the photon,” Phys. Rev. Lett.66(5), 588–591 (1991).
[CrossRef] [PubMed]

Lai, C.-J.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Lai, Y.

C.-B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett.12(2), 167–169 (2000).
[CrossRef]

LaRochelle, S.

Leaird, D. E.

V. R. Supradeepa, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform characterization via dual-quadrature spectral interferometry,” Opt. Express17(1), 25–33 (2009).
[CrossRef] [PubMed]

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

Z. Jiang, C.-B. Huang, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform processing of more than 100 spectral comb lines,” Nat. Photonics1(8), 463–467 (2007).
[CrossRef]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, “The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping,” Opt. Express14(26), 13164–13176 (2006).
[CrossRef] [PubMed]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Lee, C.-K.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Lee, K.

Liang, W.-H.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Liese, D.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Lin, I. S.

I. S. Lin, J. D. McKinney, and A. M. Weiner, “Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication,” IEEE Microw. Wirel. Compon. Lett.15(4), 226–228 (2005).
[CrossRef]

Lindinger, A.

Magné, J.

Mandai, K.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

McKinney, J. D.

I. S. Lin, J. D. McKinney, and A. M. Weiner, “Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication,” IEEE Microw. Wirel. Compon. Lett.15(4), 226–228 (2005).
[CrossRef]

Miao, H.

L. Xu, H. Miao, and A. M. Weiner, “All-order polarization-mode-dispersion compensation at 40 Gb/s via hyperfine resolution optical pulse shaping,” IEEE Photon. Technol. Lett.22(15), 1078–1080 (2010).
[CrossRef]

Middleton, C. T.

Miyamoto, D.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

Morimoto, A.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

Muriel, M. A.

M. A. Preciado and M. A. Muriel, “Ultrafast all-optical Nth-order differentiator and simultaneous repetition-rate multiplier of periodic pulse train,” Opt. Express15(19), 12102–12107 (2007).
[CrossRef] [PubMed]

J. Azaña and M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron.7(4), 728–744 (2001).
[CrossRef]

Niklaus, P.

T. Brixner, G. Krampert, P. Niklaus, and G. Gerber, “Generation and characterization of polarization-shaped femtosecond laser pulses,” Appl. Phys. B74(9), S133–S144 (2002).
[CrossRef]

Ninck, M.

Okamoto, K.

N. K. Fontaine, R. P. Scott, C. Yang, D. J. Geisler, J. P. Heritage, K. Okamoto, and S. J. B. Yoo, “Compact 10 GHz loopback arrayed-waveguide grating for high-fidelity optical arbitrary waveform generation,” Opt. Lett.33(15), 1714–1716 (2008).
[CrossRef] [PubMed]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Oron, D.

Pan, C.-L.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Pan, R.-P.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Paraschis, L.

Peng, L.-H.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, “Synthesis and measurement of ultrafast waveforms from five discrete optical harmonics,” Science331(6021), 1165–1168 (2011).
[CrossRef] [PubMed]

Pfeifer, T.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Pfeiffer, W.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Polachek, L.

Preciado, M. A.

Pudo, D.

Rochette, M.

Rohmer, M.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Samadi, P.

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

Schneider, C.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Scott, R. P.

Seidel, M. T.

Selle, R.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Shen, S.

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Shi, J.-W.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Shia, B.

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

Shioda, T.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

Silberberg, Y.

Y. Silberberg, “Quantum coherent control for nonlinear spectroscopy and microscopy,” Annu. Rev. Phys. Chem.60(1), 277–292 (2009).
[CrossRef] [PubMed]

L. Polachek, D. Oron, and Y. Silberberg, “Full control of the spectral polarization of ultrashort pulses,” Opt. Lett.31(5), 631–633 (2006).
[CrossRef] [PubMed]

Song, J. D.

Steeb, F.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Strasfeld, D. B.

Strüber, C.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Sueta, T.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

Sugita, A.

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Supradeepa, V. R.

Takeda, S.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

Tan, H.-S.

Tsai, H.-J.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

Tsuda, H.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

Voronine, D. V.

M. Aeschlimann, M. Bauer, D. Bayer, T. Brixner, S. Cunovic, F. Dimler, A. Fischer, W. Pfeiffer, M. Rohmer, C. Schneider, F. Steeb, C. Strüber, and D. V. Voronine, “Spatiotemporal control of nanooptical excitations,” Proc. Natl. Acad. Sci. U.S.A.107(12), 5329–5333 (2010).
[CrossRef] [PubMed]

Weiner, A. M.

L. Xu, H. Miao, and A. M. Weiner, “All-order polarization-mode-dispersion compensation at 40 Gb/s via hyperfine resolution optical pulse shaping,” IEEE Photon. Technol. Lett.22(15), 1078–1080 (2010).
[CrossRef]

S. T. Cundiff and A. M. Weiner, “Optical arbitrary waveform generation,” Nat. Photonics4(11), 760–766 (2010).
[CrossRef]

V. R. Supradeepa, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform characterization via dual-quadrature spectral interferometry,” Opt. Express17(1), 25–33 (2009).
[CrossRef] [PubMed]

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

Z. Jiang, C.-B. Huang, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform processing of more than 100 spectral comb lines,” Nat. Photonics1(8), 463–467 (2007).
[CrossRef]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, “The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping,” Opt. Express14(26), 13164–13176 (2006).
[CrossRef] [PubMed]

I. S. Lin, J. D. McKinney, and A. M. Weiner, “Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication,” IEEE Microw. Wirel. Compon. Lett.15(4), 226–228 (2005).
[CrossRef]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

Weise, F.

Wollenhaupt, M.

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, “Quantum control by ultrafast polarization shaping,” Phys. Rev. Lett.92(20), 208301 (2004).
[CrossRef] [PubMed]

Xu, L.

L. Xu, H. Miao, and A. M. Weiner, “All-order polarization-mode-dispersion compensation at 40 Gb/s via hyperfine resolution optical pulse shaping,” IEEE Photon. Technol. Lett.22(15), 1078–1080 (2010).
[CrossRef]

Yan, S.

Yang, C.

Yao, H.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

Yi, M.

Yoo, S. J. B.

Zanni, M. T.

Zhang, Z.

Annu. Rev. Phys. Chem.

Y. Silberberg, “Quantum coherent control for nonlinear spectroscopy and microscopy,” Annu. Rev. Phys. Chem.60(1), 277–292 (2009).
[CrossRef] [PubMed]

Appl. Phys. B

T. Brixner, G. Krampert, P. Niklaus, and G. Gerber, “Generation and characterization of polarization-shaped femtosecond laser pulses,” Appl. Phys. B74(9), S133–S144 (2002).
[CrossRef]

IEEE J. Quantum Electron.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation,” IEEE J. Quantum Electron.24(2), 382–387 (1988).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

J. Azaña and M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron.7(4), 728–744 (2001).
[CrossRef]

IEEE Microw. Wirel. Compon. Lett.

I. S. Lin, J. D. McKinney, and A. M. Weiner, “Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication,” IEEE Microw. Wirel. Compon. Lett.15(4), 226–228 (2005).
[CrossRef]

IEEE Photon. J.

F.-M. Kuo, J.-W. Shi, H.-C. Chiang, H.-P. Chuang, H.-K. Chiou, C.-L. Pan, N.-W. Chen, H.-J. Tsai, and C.-B. Huang, “Spectral power enhancement in a 100-GHz photonic millimeter-wave generator enabled by spectral line-by-line pulse shaping,” IEEE Photon. J.2(5), 719–727 (2010).
[CrossRef]

IEEE Photon. Technol. Lett.

D. Miyamoto, K. Mandai, T. Kurokawa, S. Takeda, T. Shioda, and H. Tsuda, “Waveform-controllable optical pulse generation using an optical pulse synthesizer,” IEEE Photon. Technol. Lett.18(5), 721–723 (2006).
[CrossRef]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, “Generation of high repetition rate WDM pulse trains from an arrayed-waveguide grating,” IEEE Photon. Technol. Lett.13(3), 221–223 (2001).
[CrossRef]

P. Samadi, L. R. Chen, I. A. Kostko, P. Dumais, C. L. Callender, S. Jacob, and B. Shia, “Generating 4x20 and 4x40 GHz pulse trains from a single 10-GHz mode-locked laser using a tunable planar lightwave circuit,” IEEE Photon. Technol. Lett.22(5), 281–282 (2010).
[CrossRef]

L. Xu, H. Miao, and A. M. Weiner, “All-order polarization-mode-dispersion compensation at 40 Gb/s via hyperfine resolution optical pulse shaping,” IEEE Photon. Technol. Lett.22(15), 1078–1080 (2010).
[CrossRef]

C.-B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett.12(2), 167–169 (2000).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am. B

Laser Photonics Rev.

C.-B. Huang, Z. Jiang, D. E. Leaird, J. Caraquitena, and A. M. Weiner, “Spectral line-by-line shaping for optical and microwave arbitrary waveform generations,” Laser Photonics Rev.2(4), 227–248 (2008).
[CrossRef]

Nat. Photonics

Z. Jiang, C.-B. Huang, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform processing of more than 100 spectral comb lines,” Nat. Photonics1(8), 463–467 (2007).
[CrossRef]

S. T. Cundiff and A. M. Weiner, “Optical arbitrary waveform generation,” Nat. Photonics4(11), 760–766 (2010).
[CrossRef]

Opt. Express

D. J. Geisler, N. K. Fontaine, R. P. Scott, T. He, L. Paraschis, O. Gerstel, J. P. Heritage, and S. J. B. Yoo, “Bandwidth scalable, coherent transmitter based on the parallel synthesis of multiple spectral slices using optical arbitrary waveform generation,” Opt. Express19(9), 8242–8253 (2011).
[CrossRef] [PubMed]

H.-P. Chuang and C.-B. Huang, “Generation and delivery of 1-ps optical pulses with ultrahigh repetition-rates over 25-km single mode fiber by a spectral line-by-line pulse shaper,” Opt. Express18(23), 24003–24011 (2010).
[CrossRef] [PubMed]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, “The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping,” Opt. Express14(26), 13164–13176 (2006).
[CrossRef] [PubMed]

C. T. Middleton, D. B. Strasfeld, and M. T. Zanni, “Polarization shaping in the mid-IR and polarization-based balanced heterodyne detection with application to 2D IR spectroscopy,” Opt. Express17(17), 14526–14533 (2009).
[CrossRef] [PubMed]

K. Lee, M. Yi, J. D. Song, and J. Ahn, “Polarization shaping of few-cycle terahertz waves,” Opt. Express20(11), 12463–12472 (2012).
[CrossRef] [PubMed]

M. A. Preciado and M. A. Muriel, “Ultrafast all-optical Nth-order differentiator and simultaneous repetition-rate multiplier of periodic pulse train,” Opt. Express15(19), 12102–12107 (2007).
[CrossRef] [PubMed]

V. R. Supradeepa, D. E. Leaird, and A. M. Weiner, “Optical arbitrary waveform characterization via dual-quadrature spectral interferometry,” Opt. Express17(1), 25–33 (2009).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

Experimental setup. PC: polarization controller; WP: Wollaston prism; LCM: liquid crystal modulator; DQSI: dual-quadrature spectral interferometry; LP: linear polarizer; PD: photodetector.

Fig. 2
Fig. 2

(a) Linear spectral phases measured by DQSI (open circles) for x- and y-polarizations. (b) Characterization of the absolute phase difference between x- and y-polarizations.

Fig. 3
Fig. 3

(a) Characterization of the strongly chirped x-polarized field. (b) Quasi-three-dimensional electric field representation for the vectorially shaped waveform. The color tone represents the instantaneous frequency of the waveform.

Fig. 4
Fig. 4

(a,b) Characterization of repetition-rate doubled fields for the x- and y-polarizations, respectively. (c) Quasi-three-dimensional electric field representation.

Fig. 5
Fig. 5

(a) Characterization of intensity-rate tripled fields through line-by-line phase control for the x-polarization. (b) Characterization of repetition-rate doubled fields using line-by-line amplitude control for the y-polarization. (c) Resulting quasi-three-dimensional shaped electric fields generating circularly and elliptically polarized pulses.

Equations (1)

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ΔΨ( ω ˜ )=θ+ τ xy ω ˜ +[ Ψ x,NL ( ω ˜ ) Ψ y,NL ( ω ˜ )].

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