Abstract

Time-to-frequency converters are devices that transfer the intensity of a light pulse to its spectrum. The two architectures of these converters are studied: a dispersive line followed by a phase modulator and a single time lens operating in the spectral Fraunhofer regime. These two configurations are shown not to be equivalent in general: the first one provides an incoherent time-to-frequency mapping, whereas the second depends on the degree of coherence of the pulse. In this case, the recorded spectrum is the intensity of a partially coherent residually dispersed pulse, and the spectral Fraunhofer condition is the requirement of negligible residual dispersion. Converters operated outside the spectral Fraunhofer limit can achieve a subpicosecond resolution with moderate time-lens phase factors. Their use for pulse characterization is briefly analyzed.

© 2006 Optical Society of America

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  1. M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
    [CrossRef]
  2. N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
    [CrossRef]
  3. L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
    [CrossRef]
  4. J. Azaña, Opt. Commun. 217, 205 (2003).
    [CrossRef]
  5. J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
    [CrossRef]
  6. J. Azaña, N. K. Berger, B. Levit, and B. Fischer, Appl. Opt. 43, 483 (2004).
    [CrossRef] [PubMed]
  7. D. Derickson, Fiber Optic Test and Measurement (Prentice Hall, 1998).
  8. J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
    [CrossRef]
  9. C. Dorrer and I. Kang, Opt. Lett. 28, 1481 (2003).
    [CrossRef] [PubMed]
  10. R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.
  11. N. K. Berger, B. Levit, and B. Fischer, Opt. Commun. 251, 315 (2005).
    [CrossRef]
  12. C. Dorrer, J. Opt. Soc. Am. B 21, 1417 (2004).
    [CrossRef]

2005 (2)

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

N. K. Berger, B. Levit, and B. Fischer, Opt. Commun. 251, 315 (2005).
[CrossRef]

2004 (3)

2003 (2)

2000 (2)

N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
[CrossRef]

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

1994 (1)

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Andersen, J. K.

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

Atkins, S.

N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
[CrossRef]

Azaña, J.

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, Appl. Opt. 43, 483 (2004).
[CrossRef] [PubMed]

J. Azaña, Opt. Commun. 217, 205 (2003).
[CrossRef]

Banyai, W. C.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Berger, N. K.

N. K. Berger, B. Levit, and B. Fischer, Opt. Commun. 251, 315 (2005).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, Appl. Opt. 43, 483 (2004).
[CrossRef] [PubMed]

N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
[CrossRef]

Berthélémy, A.

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

Bloom, D. M.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Derickson, D.

D. Derickson, Fiber Optic Test and Measurement (Prentice Hall, 1998).

Dorrer, C.

Fischer, B.

N. K. Berger, B. Levit, and B. Fischer, Opt. Commun. 251, 315 (2005).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, Appl. Opt. 43, 483 (2004).
[CrossRef] [PubMed]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
[CrossRef]

Fortenberry, R. M.

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

Froehly, C.

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

Godil, A. A.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Heras, C. D.

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

Islam, M. N.

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

Kang, I.

Kauffman, M. T.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Levit, B.

N. K. Berger, B. Levit, and B. Fischer, Opt. Commun. 251, 315 (2005).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, Appl. Opt. 43, 483 (2004).
[CrossRef] [PubMed]

N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
[CrossRef]

Lin, H.

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

Louradour, F.

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

Messager, V.

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

Mouradian, L. Kh.

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

Newton, S. A.

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

Pelayo, J.

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

Pellejer, E.

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

Sorin, W. V.

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

Subías Domingo, J. M.

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

Villuendas, F.

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Electron. Lett. (1)

N. K. Berger, B. Levit, S. Atkins, and B. Fischer, Electron. Lett. 36, 1644 (2000).
[CrossRef]

IEEE J. Quantum Electron. (1)

L. Kh. Mouradian, F. Louradour, V. Messager, A. Berthélémy, and C. Froehly, IEEE J. Quantum Electron. 36, 795 (2000).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

J. M. Subías Domingo, J. Pelayo, F. Villuendas, C. D. Heras, and E. Pellejer, IEEE Photon. Technol. Lett. 17, 855 (2005).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

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

Opt. Commun. (2)

N. K. Berger, B. Levit, and B. Fischer, Opt. Commun. 251, 315 (2005).
[CrossRef]

J. Azaña, Opt. Commun. 217, 205 (2003).
[CrossRef]

Opt. Lett. (1)

Other (2)

R. M. Fortenberry, W. V. Sorin, H. Lin, S. A. Newton, J. K. Andersen, and M. N. Islam, in Optical Fiber Communication Conference (Optical Society of America, 1997), Vol. 6, paper ThL3.

D. Derickson, Fiber Optic Test and Measurement (Prentice Hall, 1998).

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Figures (1)

Fig. 1
Fig. 1

Resolution limits of time-to-frequency converters using time lenses at ω m 2 π = 5 GHz .

Equations (6)

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

e ( t ) = p ( t ) ε ( t ) exp ( j ω 0 t ) ,
e ( conv ) ( t ) = l ϕ L ( t ) h ϕ D ( t ) [ p ( t ) ε ( t ) ] .
S ( conv ) ( f ) = 2 π ϕ L I p ( t = 2 π f ϕ L ) .
e ( stl ) ( t ) = l ϕ L ( t ) p ( t ) ε ( t ) = l ϕ L ( t ) h 1 ϕ L ( t ) h 1 ϕ L ( t ) [ p ( t ) ε ( t ) ] .
S ( stl ) ( f ) = 2 π ϕ L I e ¯ ( t = 2 π f ϕ L ) = 2 π ϕ L I p ¯ ( t = 2 π f ϕ L ) S c ( f ) ,
d d ϕ D I p ¯ ( t ) ϕ D = d d t [ I p ¯ ( t ) d θ d t ] .

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