Abstract

The analogy between free-space propagation of optical beams and light-pulse reflection from linearly chirped fiber gratings is used to analyze the Lau effect in the temporal domain. The coherence conditions that are satisfied in the spatial domain for obtaining, at certain fixed locations, periodic fringes patterns are reformulated for guided light propagation. In this analogy, spatial periodic irradiance distributions are transformed in periodic sequences of light pulses. An optical setup is proposed to produce sharp pulse trains, with minimal distortion effects, that have repetition frequencies that are different from those associated with the input periodic optical signal. Some numerical results are given to illustrate this approach.

© 2004 Optical Society of America

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    [CrossRef]
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    [CrossRef]

2003

2001

R. Piestun, D. A. B. Miller, “Spatiotemporal control of ultrashort optical pulses by refractive-diffractive-dispersive structured optical elements,” Opt. Lett. 26, 1373–1375 (2001).
[CrossRef]

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

1999

1995

1994

A. Papoulis, “Pulse compression, fiber communications, and diffraction: a unified approach,” J. Opt. Soc. Am. A 11, 3–13 (1994).
[CrossRef]

B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30, 1951–1963 (1994).
[CrossRef]

1993

M. Kempe, W. Rudolph, “Femtosecond pulses in the focal region of lenses,” Phys. Rev. A 48, 4721–4729 (1993).
[CrossRef] [PubMed]

1992

M. Kempe, U. Stamm, B. Wilhelmi, “Spatial and temporal transformation of femtosecond laser pulses by lenses with annular aperture,” Opt. Commun. 89, 119–125 (1992).
[CrossRef]

Z. Bor, Z. L. Horváth, “Distortion of femtosecond pulses in lenses. Wave optical description,” Opt. Commun. 94, 249–258 (1992).
[CrossRef]

1988

J. Ojeda-Castañeda, P. Andrés, J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988).
[CrossRef]

1987

1982

1965

J. T. Winthrop, C. R. Worthington, “Theory of Fresnel images. I. Plane periodic objects in monochromatic light,” J. Opt. Soc. Am. A 55, 373–381 (1965).
[CrossRef]

1948

E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. (Leipzig) 6, 417–423 (1948).

1881

Lord Rayleigh, “On copying diffraction gratings, and on some phenomena connected therewith,” Philos. Mag. 11, 196–205 (1881).

Agrawal, G. P.

G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, New York, 1997).

Andrés, P.

J. Ojeda-Castañeda, P. Andrés, J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988).
[CrossRef]

Azaña, J.

Bor, Z.

Z. Bor, Z. L. Horváth, “Distortion of femtosecond pulses in lenses. Wave optical description,” Opt. Commun. 94, 249–258 (1992).
[CrossRef]

Horváth, Z. L.

Z. Bor, Z. L. Horváth, “Distortion of femtosecond pulses in lenses. Wave optical description,” Opt. Commun. 94, 249–258 (1992).
[CrossRef]

Ibarra, J.

J. Ojeda-Castañeda, P. Andrés, J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988).
[CrossRef]

Kempe, M.

M. Kempe, W. Rudolph, “Femtosecond pulses in the focal region of lenses,” Phys. Rev. A 48, 4721–4729 (1993).
[CrossRef] [PubMed]

M. Kempe, U. Stamm, B. Wilhelmi, “Spatial and temporal transformation of femtosecond laser pulses by lenses with annular aperture,” Opt. Commun. 89, 119–125 (1992).
[CrossRef]

Kolner, B. H.

B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30, 1951–1963 (1994).
[CrossRef]

Lau, E.

E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. (Leipzig) 6, 417–423 (1948).

Leith, E. N.

Migus, A.

Miller, D. A. B.

Muriel, M. A.

Ojeda-Castañeda, J.

J. Ojeda-Castañeda, P. Andrés, J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988).
[CrossRef]

Ouellette, F.

Papoulis, A.

Paye, J.

Piestun, R.

Rayleigh, Lord

Lord Rayleigh, “On copying diffraction gratings, and on some phenomena connected therewith,” Philos. Mag. 11, 196–205 (1881).

Rudolph, W.

M. Kempe, W. Rudolph, “Femtosecond pulses in the focal region of lenses,” Phys. Rev. A 48, 4721–4729 (1993).
[CrossRef] [PubMed]

Stamm, U.

M. Kempe, U. Stamm, B. Wilhelmi, “Spatial and temporal transformation of femtosecond laser pulses by lenses with annular aperture,” Opt. Commun. 89, 119–125 (1992).
[CrossRef]

Swanson, G. J.

Wilhelmi, B.

M. Kempe, U. Stamm, B. Wilhelmi, “Spatial and temporal transformation of femtosecond laser pulses by lenses with annular aperture,” Opt. Commun. 89, 119–125 (1992).
[CrossRef]

Winthrop, J. T.

J. T. Winthrop, C. R. Worthington, “Theory of Fresnel images. I. Plane periodic objects in monochromatic light,” J. Opt. Soc. Am. A 55, 373–381 (1965).
[CrossRef]

Worthington, C. R.

J. T. Winthrop, C. R. Worthington, “Theory of Fresnel images. I. Plane periodic objects in monochromatic light,” J. Opt. Soc. Am. A 55, 373–381 (1965).
[CrossRef]

Zalvidea, D.

Ann. Phys. (Leipzig)

E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. (Leipzig) 6, 417–423 (1948).

Appl. Opt.

IEEE J. Quantum Electron.

B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30, 1951–1963 (1994).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

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

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Opt. Commun.

J. Ojeda-Castañeda, P. Andrés, J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988).
[CrossRef]

M. Kempe, U. Stamm, B. Wilhelmi, “Spatial and temporal transformation of femtosecond laser pulses by lenses with annular aperture,” Opt. Commun. 89, 119–125 (1992).
[CrossRef]

Z. Bor, Z. L. Horváth, “Distortion of femtosecond pulses in lenses. Wave optical description,” Opt. Commun. 94, 249–258 (1992).
[CrossRef]

Opt. Lett.

Philos. Mag.

Lord Rayleigh, “On copying diffraction gratings, and on some phenomena connected therewith,” Philos. Mag. 11, 196–205 (1881).

Phys. Rev. A

M. Kempe, W. Rudolph, “Femtosecond pulses in the focal region of lenses,” Phys. Rev. A 48, 4721–4729 (1993).
[CrossRef] [PubMed]

Other

G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, New York, 1997).

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