Abstract

Signal-processing systems based on linear time lenses are realized by the combination of temporal quadratic phase modulation (which is a time lens) and group-velocity dispersion. In practice, these systems suffer from aberrations due to high-order phase-modulation terms in time lenses and aberrations due to high-order dispersion in dispersive elements. We find that these two kinds of aberrations can counterbalance each other under certain conditions. In this paper we theoretically derive and numerically confirm the aberration-elimination conditions for several time-lens based systems, i.e., temporal imaging, time-to-frequency mapping and frequency-to-time mapping of optical pulse waveforms. In addition, a frequency-time diagram is used to analyze the elimination process in order to illustrate the physical mechanism.

© 2013 IEEE

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2012 (1)

A. Pasquazi, Y. Y. Park, S. T. Chu, B. E. Little, F. Légaré, R. Morandotti, J. Azaña, D. J. Moss, "Time-lens measurement of subpicosecond optical pulses in CMOS compatible high-index glass waveguides," IEEE J. Sel. Top. Quantum Eletrcon. 18, 629-636 (2012).

2010 (5)

J. Schroder, F. Wang, A. Clarke, E. Ryckeboer, M. Pelusi, M. A. F. Roelens, B. J. Eggleton, "Aberration-free ultra-fast optical oscilloscope using a four-wave mixing based time-lens," Opt. Commun. 283, 2611-2614 (2010).

L. E. Munioz-Camuniez, V. Torres-Company, J. Lancis, J. Ojeda-Castaneda, P. Andres, "Electro-optic time lens with an extended time aperture," J. Opt. Soc. Amer. B 27, 2110-2115 (2010).

H. Hu, J. L. Areal, E. Palushani, L. K. Oxenlowe, A. Clausen, M. S. Berger, P. Jeppesen, "Optical synchronization of a 10-G ethernet packet and time-division multiplexing to a 50-Gb/s signal using an optical time lens," IEEE Photon. Technol. Lett. 22, 1583-1585 (2010).

G. Deng, W. Pan, X. H. Zou, "Optical pulse compression using the combination of phase modulation and high-order dispersion compensation," Opt. Rev. 17, 454-458 (2010).

R. Wu, V. R. Supradeepa, C. M. Long, D. E. Leaird, A. M. Weiner, "Generation of very flat optical frequency combs from continuous-wave lasers using cascaded intensity and phase modulators driven by tailored radio frequency waveforms," Opt. Lett. 35, 3234-3236 (2010).

2008 (1)

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, A. L. Gaeta, "Silicon-chip-based ultrafast optical oscilloscope," Nature 456, 81-84 (2008).

2004 (2)

M. Nakazawa, T. Hirooka, F. Futami, S. Watanabe, "Ideal distortion-free transmission using optical Fourier transformation and Fourier transform-limited optical pulses," IEEE Photon. Technol. Lett. 16, 1059-1061 (2004).

J. van Howe, J. Hansryd, C. Xu, "Multiwavelength pulse generator using time-lens compression," Opt. Lett. 29, 1470-1472 (2004).

2001 (1)

C. V. Bennett, B. H. Kolner, "Aberrations in temporal imaging," IEEE J. Quantum Electron. 37, 20-32 (2001).

2000 (1)

J. Azana, M. A. Muriel, "Real-time optical spectrum analysis based on the time-space duality in chirped fiber gratings," IEEE J. Quantum Electron. 36, 517-526 (2000).

1999 (2)

M. D. Pelusi, Y. Matsui, A. Suzuki, "Electrooptic phase modulation of stretched 250-fs pulses for suppression of third-order fiber dispersion in transmission," IEEE Photon. Technol. Lett. 11, 1461-1463 (1999).

M. Romagnoli, P. Franco, R. Corsini, A. Schiffini, M. Midrio, "Time-domain Fourier optics for polarization-mode dispersion compensation," Opt. Lett. 24, 1197-1199 (1999).

1997 (1)

1995 (1)

1994 (3)

C. Bennett, R. Scott, B. Kolner, "Temporal magnification and reversal of 100 Gb/s optical data with an up-conversion time microscope," Appl. Phys. Lett. 65, 2513-2515 (1994).

B. H. Kolner, "Space-time duality and the theory of temporal imaging," IEEE J. Quantum Electron. 30, 1951-1936 (1994).

M. Kauffman, W. Banyai, A. Godil, D. Bloom, "Time-to-frequency converter for measuring picosecond optical pulses," Appl. Phys. Lett. 64, 270-272 (1994).

1993 (2)

A. Godil, B. Auld, D. Bloom, "Time-lens producing 1.9 ps optical pulses," Appl. Phys. Lett. 62, 1047-1049 (1993).

M. T. Kauffman, A. A. Godil, B. A. Auld, W. C. Banyai, D. M. Bloom, "Applications of time lens optical systems," Electron. Lett. 14, 268-269 (1993).

1992 (1)

1969 (1)

E. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. 5, 454-458 (1969).

1968 (1)

S. Akhmanov, A. Chirkin, K. Drabovich, A. Kovrigin, R. Khokhlov, A. Sukhorukov, "Nonstationary nonlinear optical effects and ultrashort light pulse formation," IEEE J. Quantum Electron. 4, 598-605 (1968).

Appl. Opt. (2)

Appl. Phys. Lett. (3)

M. Kauffman, W. Banyai, A. Godil, D. Bloom, "Time-to-frequency converter for measuring picosecond optical pulses," Appl. Phys. Lett. 64, 270-272 (1994).

C. Bennett, R. Scott, B. Kolner, "Temporal magnification and reversal of 100 Gb/s optical data with an up-conversion time microscope," Appl. Phys. Lett. 65, 2513-2515 (1994).

A. Godil, B. Auld, D. Bloom, "Time-lens producing 1.9 ps optical pulses," Appl. Phys. Lett. 62, 1047-1049 (1993).

Electron. Lett. (1)

M. T. Kauffman, A. A. Godil, B. A. Auld, W. C. Banyai, D. M. Bloom, "Applications of time lens optical systems," Electron. Lett. 14, 268-269 (1993).

IEEE J. Quantum Electron. (1)

S. Akhmanov, A. Chirkin, K. Drabovich, A. Kovrigin, R. Khokhlov, A. Sukhorukov, "Nonstationary nonlinear optical effects and ultrashort light pulse formation," IEEE J. Quantum Electron. 4, 598-605 (1968).

IEEE J. Quantum Electron. (1)

B. H. Kolner, "Space-time duality and the theory of temporal imaging," IEEE J. Quantum Electron. 30, 1951-1936 (1994).

IEEE J. Quantum Electron. (3)

E. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. 5, 454-458 (1969).

C. V. Bennett, B. H. Kolner, "Aberrations in temporal imaging," IEEE J. Quantum Electron. 37, 20-32 (2001).

J. Azana, M. A. Muriel, "Real-time optical spectrum analysis based on the time-space duality in chirped fiber gratings," IEEE J. Quantum Electron. 36, 517-526 (2000).

IEEE J. Sel. Top. Quantum Eletrcon. (1)

A. Pasquazi, Y. Y. Park, S. T. Chu, B. E. Little, F. Légaré, R. Morandotti, J. Azaña, D. J. Moss, "Time-lens measurement of subpicosecond optical pulses in CMOS compatible high-index glass waveguides," IEEE J. Sel. Top. Quantum Eletrcon. 18, 629-636 (2012).

IEEE Photon. Technol. Lett. (1)

H. Hu, J. L. Areal, E. Palushani, L. K. Oxenlowe, A. Clausen, M. S. Berger, P. Jeppesen, "Optical synchronization of a 10-G ethernet packet and time-division multiplexing to a 50-Gb/s signal using an optical time lens," IEEE Photon. Technol. Lett. 22, 1583-1585 (2010).

IEEE Photon. Technol. Lett. (2)

M. D. Pelusi, Y. Matsui, A. Suzuki, "Electrooptic phase modulation of stretched 250-fs pulses for suppression of third-order fiber dispersion in transmission," IEEE Photon. Technol. Lett. 11, 1461-1463 (1999).

M. Nakazawa, T. Hirooka, F. Futami, S. Watanabe, "Ideal distortion-free transmission using optical Fourier transformation and Fourier transform-limited optical pulses," IEEE Photon. Technol. Lett. 16, 1059-1061 (2004).

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

J. Opt. Soc. Amer. B (1)

L. E. Munioz-Camuniez, V. Torres-Company, J. Lancis, J. Ojeda-Castaneda, P. Andres, "Electro-optic time lens with an extended time aperture," J. Opt. Soc. Amer. B 27, 2110-2115 (2010).

Nature (1)

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, A. L. Gaeta, "Silicon-chip-based ultrafast optical oscilloscope," Nature 456, 81-84 (2008).

Opt. Commun. (1)

J. Schroder, F. Wang, A. Clarke, E. Ryckeboer, M. Pelusi, M. A. F. Roelens, B. J. Eggleton, "Aberration-free ultra-fast optical oscilloscope using a four-wave mixing based time-lens," Opt. Commun. 283, 2611-2614 (2010).

Opt. Lett. (1)

M. Romagnoli, P. Franco, R. Corsini, A. Schiffini, M. Midrio, "Time-domain Fourier optics for polarization-mode dispersion compensation," Opt. Lett. 24, 1197-1199 (1999).

Opt. Lett. (2)

Opt. Rev. (1)

G. Deng, W. Pan, X. H. Zou, "Optical pulse compression using the combination of phase modulation and high-order dispersion compensation," Opt. Rev. 17, 454-458 (2010).

Other (1)

A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, 1968).

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