Abstract

An optical pulse incident upon a diffractive structure under resonance conditions may undergo a temporal delay. The effect is demonstrated with a pulse of Gaussian profile at two geometries: a waveguide grating and a single-mode waveguide. It is shown that the order of magnitude of the delay can be controlled by the parameters of the structures.

© 1998 Optical Society of America

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References

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  1. R. Güther and B. H. Kleemann, in Diffractive Optics, Vol. 12 of European Optical Society Topical Meetings Digest Series (European Optical Society, Orsay, France, 1997), pp. 16–17.
  2. J. L. Agudín, Phys. Rev. 171, 1385 (1968).
    [CrossRef]
  3. F. Schreier, M. Schmitz, and O. Bryngdahl, Opt. Lett. 23, 576 (1998).
    [CrossRef]
  4. S. Zhang and T. Tamir, J. Opt. Soc. Am. A 6, 1368 (1989).
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  5. C. B. Burckhardt, J. Opt. Soc. Am. 56, 1502 (1966).
    [CrossRef]
  6. F. G. Kaspar, J. Opt. Soc. Am. 63, 37 (1973).
    [CrossRef]
  7. K. Knop, J. Opt. Soc. Am. 69, 1206 (1978).
    [CrossRef]
  8. S. Wang, R. Magnusson, J. Bagby, and M. Moharam, J. Opt. Soc. Am. A 7, 1470 (1990).
    [CrossRef]
  9. R. Magnusson and S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
    [CrossRef]
  10. M. A. Porras, Opt. Commun. 135, 369 (1997).
    [CrossRef]
  11. R. Bräuer and O. Bryngdahl, Opt. Lett. 22, 754 (1997).
    [CrossRef]
  12. T. Peter, R. Bräuer, and O. Bryngdahl, Opt. Commun. 139, 177 (1997).
    [CrossRef]

1998 (1)

1997 (3)

M. A. Porras, Opt. Commun. 135, 369 (1997).
[CrossRef]

R. Bräuer and O. Bryngdahl, Opt. Lett. 22, 754 (1997).
[CrossRef]

T. Peter, R. Bräuer, and O. Bryngdahl, Opt. Commun. 139, 177 (1997).
[CrossRef]

1992 (1)

R. Magnusson and S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
[CrossRef]

1990 (1)

1989 (1)

1978 (1)

K. Knop, J. Opt. Soc. Am. 69, 1206 (1978).
[CrossRef]

1973 (1)

1968 (1)

J. L. Agudín, Phys. Rev. 171, 1385 (1968).
[CrossRef]

1966 (1)

Agudín, J. L.

J. L. Agudín, Phys. Rev. 171, 1385 (1968).
[CrossRef]

Bagby, J.

Bräuer, R.

R. Bräuer and O. Bryngdahl, Opt. Lett. 22, 754 (1997).
[CrossRef]

T. Peter, R. Bräuer, and O. Bryngdahl, Opt. Commun. 139, 177 (1997).
[CrossRef]

Bryngdahl, O.

Burckhardt, C. B.

Güther, R.

R. Güther and B. H. Kleemann, in Diffractive Optics, Vol. 12 of European Optical Society Topical Meetings Digest Series (European Optical Society, Orsay, France, 1997), pp. 16–17.

Kaspar, F. G.

Kleemann, B. H.

R. Güther and B. H. Kleemann, in Diffractive Optics, Vol. 12 of European Optical Society Topical Meetings Digest Series (European Optical Society, Orsay, France, 1997), pp. 16–17.

Knop, K.

K. Knop, J. Opt. Soc. Am. 69, 1206 (1978).
[CrossRef]

Magnusson, R.

Moharam, M.

Peter, T.

T. Peter, R. Bräuer, and O. Bryngdahl, Opt. Commun. 139, 177 (1997).
[CrossRef]

Porras, M. A.

M. A. Porras, Opt. Commun. 135, 369 (1997).
[CrossRef]

Schmitz, M.

Schreier, F.

Tamir, T.

Wang, S.

Zhang, S.

Appl. Phys. Lett. (1)

R. Magnusson and S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
[CrossRef]

J. Opt. Soc. Am. (3)

J. Opt. Soc. Am. A (2)

Opt. Commun. (2)

M. A. Porras, Opt. Commun. 135, 369 (1997).
[CrossRef]

T. Peter, R. Bräuer, and O. Bryngdahl, Opt. Commun. 139, 177 (1997).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. (1)

J. L. Agudín, Phys. Rev. 171, 1385 (1968).
[CrossRef]

Other (1)

R. Güther and B. H. Kleemann, in Diffractive Optics, Vol. 12 of European Optical Society Topical Meetings Digest Series (European Optical Society, Orsay, France, 1997), pp. 16–17.

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Figures (6)

Fig. 1
Fig. 1

Geometries of the diffractive structures. (a) Waveguide grating: h=400 nm, d=570 nm, 1=1, 2=3+Δ sin2πx/d, and 3=2.161. (b) Waveguide structure: h2 variable, h3=87 nm, 1=3.5872, 2=2.1316, 3=5.6169, and 4=1.

Fig. 2
Fig. 2

Phase of the diffraction coefficients of the reflected 0th diffraction order for three values of the modulation of the dielectric constant Δ.

Fig. 3
Fig. 3

Delay of the maximum intensity of the reflected and the transmitted diffraction orders as a function of Δ.

Fig. 4
Fig. 4

Delay of the maximum intensity of the -1 st and 0th diffraction orders versus pulse duration.

Fig. 5
Fig. 5

Delay versus mean wavelength of the pulses of all propagating diffraction orders. Pulse duration, 100  ps.

Fig. 6
Fig. 6

Delay of the maximum intensity at various values of the thickness of the gap layer.

Equations (3)

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Et=dωu0 exp-ω-ω022σω2exp-iωt
Ert=u0Fexp-ω-ω022σω2RωexpiΦω,
ErtRexpiΦ0-Φωω0Etδt-Φω,

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