Abstract

In stellar interferometry the fringe visibility can be measured by modulating the optical path difference between the two arms of an interferometer. This approach yields accurate estimates of the fringe visibility only if the bandwidth is small, and this limits the sensitivity of the technique. We propose using a geometric phase modulator that is achromatic and does not suffer from bandwidth restrictions. Fringe detectors using geometric phase modulation have the potential of greatly increasing the sensitivity of optical stellar interferometers.

© 1996 Optical Society of America

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References

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  1. M. V. Berry, “The adiabatic phase and Pancharatnam's phase for polarized light,” J.Mod. Opt. 34, 1401–1407 (1987).
    [CrossRef]
  2. P. Hariharan, K. G. Larkin, M. Roy, “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41, 663–667 (1994).
    [CrossRef]
  3. P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41, 2197–2201 (1994).
    [CrossRef]
  4. P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
    [CrossRef]
  5. T. A. ten Brummelaar, W. J. Tango, “A wavefront tilt correction servo for the Sydney University Stellar Interferometer,” Exp. Astron. 4, 297–315 (1994).
    [CrossRef]
  6. M. O. Freeman, T. A. Brown, D. M. Walba, “Quantized complex ferroelectric liquid crystal spatial light modulators,” Appl. Opt. 31, 3917–3929 (1992).
    [CrossRef] [PubMed]
  7. P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110, 13–17 (1994).
    [CrossRef]
  8. W. J. Tango, R. Q. Twiss, “Michelson stellar interferometry,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. 17, pp. 241–276.
  9. J. Davis, “The Sydney University Stellar Interferometer,” in IAU Symposium No. 158: Very High Angular Resolution Imaging, J. G. Robertson, W. J. Tango, eds. (Kluwer Academic, Boston, Mass., 1994), pp. 135–142.
    [CrossRef]

1994 (4)

P. Hariharan, K. G. Larkin, M. Roy, “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41, 663–667 (1994).
[CrossRef]

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41, 2197–2201 (1994).
[CrossRef]

T. A. ten Brummelaar, W. J. Tango, “A wavefront tilt correction servo for the Sydney University Stellar Interferometer,” Exp. Astron. 4, 297–315 (1994).
[CrossRef]

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110, 13–17 (1994).
[CrossRef]

1993 (1)

P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
[CrossRef]

1992 (1)

1987 (1)

M. V. Berry, “The adiabatic phase and Pancharatnam's phase for polarized light,” J.Mod. Opt. 34, 1401–1407 (1987).
[CrossRef]

Berry, M. V.

M. V. Berry, “The adiabatic phase and Pancharatnam's phase for polarized light,” J.Mod. Opt. 34, 1401–1407 (1987).
[CrossRef]

Brown, T. A.

Ciddor, P. E.

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110, 13–17 (1994).
[CrossRef]

Davis, J.

J. Davis, “The Sydney University Stellar Interferometer,” in IAU Symposium No. 158: Very High Angular Resolution Imaging, J. G. Robertson, W. J. Tango, eds. (Kluwer Academic, Boston, Mass., 1994), pp. 135–142.
[CrossRef]

Freeman, M. O.

Hariharan, P.

P. Hariharan, K. G. Larkin, M. Roy, “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41, 663–667 (1994).
[CrossRef]

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110, 13–17 (1994).
[CrossRef]

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41, 2197–2201 (1994).
[CrossRef]

P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
[CrossRef]

Larkin, K. G.

P. Hariharan, K. G. Larkin, M. Roy, “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41, 663–667 (1994).
[CrossRef]

O'Byrne, J. W.

P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
[CrossRef]

Robinson, P. A.

P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
[CrossRef]

Roy, M.

P. Hariharan, K. G. Larkin, M. Roy, “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41, 663–667 (1994).
[CrossRef]

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41, 2197–2201 (1994).
[CrossRef]

P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
[CrossRef]

Tango, W. J.

T. A. ten Brummelaar, W. J. Tango, “A wavefront tilt correction servo for the Sydney University Stellar Interferometer,” Exp. Astron. 4, 297–315 (1994).
[CrossRef]

W. J. Tango, R. Q. Twiss, “Michelson stellar interferometry,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. 17, pp. 241–276.

ten Brummelaar, T. A.

T. A. ten Brummelaar, W. J. Tango, “A wavefront tilt correction servo for the Sydney University Stellar Interferometer,” Exp. Astron. 4, 297–315 (1994).
[CrossRef]

Twiss, R. Q.

W. J. Tango, R. Q. Twiss, “Michelson stellar interferometry,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. 17, pp. 241–276.

Walba, D. M.

Appl. Opt. (1)

Exp. Astron. (1)

T. A. ten Brummelaar, W. J. Tango, “A wavefront tilt correction servo for the Sydney University Stellar Interferometer,” Exp. Astron. 4, 297–315 (1994).
[CrossRef]

J. Mod. Opt. (3)

P. Hariharan, K. G. Larkin, M. Roy, “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41, 663–667 (1994).
[CrossRef]

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41, 2197–2201 (1994).
[CrossRef]

P. Hariharan, M. Roy, P. A. Robinson, J. W. O'Byrne, “The geometric phase: observations at the single-photon level,” J. Mod. Opt. 40, 871–877 (1993).
[CrossRef]

J.Mod. Opt. (1)

M. V. Berry, “The adiabatic phase and Pancharatnam's phase for polarized light,” J.Mod. Opt. 34, 1401–1407 (1987).
[CrossRef]

Opt. Commun. (1)

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110, 13–17 (1994).
[CrossRef]

Other (2)

W. J. Tango, R. Q. Twiss, “Michelson stellar interferometry,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. 17, pp. 241–276.

J. Davis, “The Sydney University Stellar Interferometer,” in IAU Symposium No. 158: Very High Angular Resolution Imaging, J. G. Robertson, W. J. Tango, eds. (Kluwer Academic, Boston, Mass., 1994), pp. 135–142.
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

Optical layout of the beam-combining optics and geometric phase modulators for a stellar interferometer. See text for an explanation of the symbols.

Equations (6)

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I ± ( z ) = I 0 [ 1 ± { S ( z ) } ] ,
S ( z ) = g ( z ) | γ ¯ | exp { 2 π iz / λ ¯ + i ϕ } ,
V ( z ) = g ( z ) | γ ¯ | .
V 2 ( z ) = 2 { S ( z ) } + 2 { S ( z ) } = 2 { S ( z ) } + 2 { i S ( z ) } .
I 1 ( z , θ ) = I 0 [ 1 + V ( z ) cos ( 4 θ + 2 π z / λ + ϕ ) ] ,
I 2 ( z , θ ) = I 0 [ 1 V ( z ) cos ( 4 θ + 2 π z / λ + ϕ ) ] ,

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