Abstract

We propose and demonstrate, theoretically and experimentally, a novel achromatic optical phase shifter–modulator based on a frequency-domain optical delay line configured to maintain zero group delay as variable phase delay is generated by means of tilting a mirror. Compared with previously reported phase shifter–modulators, e.g., based on the Pancharatnam (geometric) phase, our device is high speed and polarization insensitive and produces a large, bounded phase delay that, uniquely, is one-to-one mapped to a measurable parameter, the tilt angle.

© 2001 Optical Society of America

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References

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  1. P. Hariharan and P. E. Ciddor, Opt. Commun. 110, 13 (1994).
    [CrossRef]
  2. W. J. Tango and J. Davis, Appl. Opt. 35, 621 (1996).
    [CrossRef] [PubMed]
  3. S. Pancharatnam, Proc. Indian Acad. Sci. Sect. A 44, 247 (1956).
  4. M. V. Berry, J. Mod. Opt. 34, 1401 (1987).
    [CrossRef]
  5. N. George and T. Stone, Opt. Commun. 67, 185 (1988).
    [CrossRef]
  6. R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
    [CrossRef]
  7. K. F. Kwong, D. Yankelevich, K. C. Chu, J. P. Heritage, and A. Dienes, Opt. Lett. 18, 558 (1992).
    [CrossRef]
  8. A. M. Rollins, M. D. Kuklarni, S. Yazdanafar, R. Ung-arunyawee, and J. A. Izatt, Opt. Express 3, 219 (1998), http://epubs.osa.org/opticsexpress .
    [CrossRef] [PubMed]
  9. E. B. Treacy, IEEE J. Quantum Electron. QE-5, 454 (1969).
    [CrossRef]
  10. O. E. Martinez, J. P. Gordon, and R. L. Fork, J. Opt. Soc. Am. A 1, 1003 (1984).
    [CrossRef]
  11. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).
  12. H. J. Matthews, D. K. Hamilton, and C. J. Sheppard, Appl. Opt. 25, 2372 (1986).
    [CrossRef]
  13. H. Schmitzer, S. Klein, and W. Dultz, Phys. Rev. Lett. 71, 1530 (1993).
    [CrossRef] [PubMed]
  14. F. D. M. Haldane, Phys. Rev. Lett. 59, 1788 (1987).
    [CrossRef]

1998 (1)

1996 (1)

1994 (1)

P. Hariharan and P. E. Ciddor, Opt. Commun. 110, 13 (1994).
[CrossRef]

1993 (1)

H. Schmitzer, S. Klein, and W. Dultz, Phys. Rev. Lett. 71, 1530 (1993).
[CrossRef] [PubMed]

1992 (1)

1988 (1)

N. George and T. Stone, Opt. Commun. 67, 185 (1988).
[CrossRef]

1987 (2)

M. V. Berry, J. Mod. Opt. 34, 1401 (1987).
[CrossRef]

F. D. M. Haldane, Phys. Rev. Lett. 59, 1788 (1987).
[CrossRef]

1986 (2)

R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

H. J. Matthews, D. K. Hamilton, and C. J. Sheppard, Appl. Opt. 25, 2372 (1986).
[CrossRef]

1984 (1)

1969 (1)

E. B. Treacy, IEEE J. Quantum Electron. QE-5, 454 (1969).
[CrossRef]

1956 (1)

S. Pancharatnam, Proc. Indian Acad. Sci. Sect. A 44, 247 (1956).

Berry, M. V.

M. V. Berry, J. Mod. Opt. 34, 1401 (1987).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).

Chu, K. C.

Ciddor, P. E.

P. Hariharan and P. E. Ciddor, Opt. Commun. 110, 13 (1994).
[CrossRef]

Davis, J.

Dienes, A.

Dultz, W.

H. Schmitzer, S. Klein, and W. Dultz, Phys. Rev. Lett. 71, 1530 (1993).
[CrossRef] [PubMed]

Fork, R. L.

George, N.

N. George and T. Stone, Opt. Commun. 67, 185 (1988).
[CrossRef]

Gordon, J. P.

Haldane, F. D. M.

F. D. M. Haldane, Phys. Rev. Lett. 59, 1788 (1987).
[CrossRef]

Hamilton, D. K.

Hariharan, P.

P. Hariharan and P. E. Ciddor, Opt. Commun. 110, 13 (1994).
[CrossRef]

Heritage, J. P.

K. F. Kwong, D. Yankelevich, K. C. Chu, J. P. Heritage, and A. Dienes, Opt. Lett. 18, 558 (1992).
[CrossRef]

R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

Izatt, J. A.

Klein, S.

H. Schmitzer, S. Klein, and W. Dultz, Phys. Rev. Lett. 71, 1530 (1993).
[CrossRef] [PubMed]

Kuklarni, M. D.

Kwong, K. F.

Martinez, O. E.

Matthews, H. J.

Pancharatnam, S.

S. Pancharatnam, Proc. Indian Acad. Sci. Sect. A 44, 247 (1956).

Rollins, A. M.

Schmitzer, H.

H. Schmitzer, S. Klein, and W. Dultz, Phys. Rev. Lett. 71, 1530 (1993).
[CrossRef] [PubMed]

Sheppard, C. J.

Stone, T.

N. George and T. Stone, Opt. Commun. 67, 185 (1988).
[CrossRef]

Tango, W. J.

Thurston, R. N.

R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

Tomlinson, W. J.

R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

Treacy, E. B.

E. B. Treacy, IEEE J. Quantum Electron. QE-5, 454 (1969).
[CrossRef]

Ung-arunyawee, R.

Weiner, A. M.

R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).

Yankelevich, D.

Yazdanafar, S.

Appl. Opt. (2)

IEEE J. Quantum Electron. (2)

E. B. Treacy, IEEE J. Quantum Electron. QE-5, 454 (1969).
[CrossRef]

R. N. Thurston, J. P. Heritage, A. M. Weiner, and W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

J. Mod. Opt. (1)

M. V. Berry, J. Mod. Opt. 34, 1401 (1987).
[CrossRef]

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

Opt. Commun. (2)

N. George and T. Stone, Opt. Commun. 67, 185 (1988).
[CrossRef]

P. Hariharan and P. E. Ciddor, Opt. Commun. 110, 13 (1994).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. Lett. (2)

H. Schmitzer, S. Klein, and W. Dultz, Phys. Rev. Lett. 71, 1530 (1993).
[CrossRef] [PubMed]

F. D. M. Haldane, Phys. Rev. Lett. 59, 1788 (1987).
[CrossRef]

Proc. Indian Acad. Sci. Sect. A (1)

S. Pancharatnam, Proc. Indian Acad. Sci. Sect. A 44, 247 (1956).

Other (1)

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of the frequency-domain optical delay line.

Fig. 2
Fig. 2

Phase-to-group-delay ratio ξ versus mirror offset x0. Points A, B, and C denote three regimes of interest.

Fig. 3
Fig. 3

Interferograms measured at mirror offsets denoted by points A, B, and C in Fig.  2.

Equations (5)

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

sintγtgcosck0tp,
ψk=kL+2θx0k-4πmθfk-k0pk0,
tp=1cψk0k0=2θx0c,
tg=1cdψdk|k=k0=2θx0c-4πmθfcpk0.
ξ=tptg=1-mλ0fpx0-1.

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