Abstract

The geometric (Pancharatnam) phase provides a method of introducing a variable phase shift that is almost independent of the wavelength and opens up new possibilities in broadband interferometry.

© 1996 Optical Society of America

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References

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  1. S. Pancharatnam, “Generalized theory of interference and its applications. Part I. Coherent pencils,” Proc. Indian. Acad. Sci. 44, 2247–2262 (1956).
  2. S. Pancharatnam, Collected Works of S. Pancharatnam, (Oxford University Press, Oxford, 1975), pp. 77–92.
  3. M. V. Berry, “The adiabatic phase and Pancharatnam’s phase for polarized light,” J. Mod. Opt. 34(11), 1401–1407 (1987).
    [CrossRef]
  4. P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110(1), 113–117 (1994).
    [CrossRef]
  5. P. Hariharan, P. E. Ciddor, “Achromatic phase-shifters: 2. A quantized ferroelectric liquid-crystal system” Opt. Commun. 117(1), 13–15 (1995).
    [CrossRef]
  6. P. Hariharan et al., “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41(4), 663–667 (1994).
    [CrossRef]
  7. W. J. Tango, J. Davis, “On the application of geometric phase techniques to stellar interferometry,” Appl. Opt. 35 (4), 621–623 (1996).
    [CrossRef] [PubMed]
  8. P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41(11), 2197–2201 (1994).
    [CrossRef]

1996 (1)

1995 (1)

P. Hariharan, P. E. Ciddor, “Achromatic phase-shifters: 2. A quantized ferroelectric liquid-crystal system” Opt. Commun. 117(1), 13–15 (1995).
[CrossRef]

1994 (3)

P. Hariharan et al., “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41(4), 663–667 (1994).
[CrossRef]

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41(11), 2197–2201 (1994).
[CrossRef]

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110(1), 113–117 (1994).
[CrossRef]

1987 (1)

M. V. Berry, “The adiabatic phase and Pancharatnam’s phase for polarized light,” J. Mod. Opt. 34(11), 1401–1407 (1987).
[CrossRef]

1956 (1)

S. Pancharatnam, “Generalized theory of interference and its applications. Part I. Coherent pencils,” Proc. Indian. Acad. Sci. 44, 2247–2262 (1956).

Berry, M. V.

M. V. Berry, “The adiabatic phase and Pancharatnam’s phase for polarized light,” J. Mod. Opt. 34(11), 1401–1407 (1987).
[CrossRef]

Ciddor, P. E.

P. Hariharan, P. E. Ciddor, “Achromatic phase-shifters: 2. A quantized ferroelectric liquid-crystal system” Opt. Commun. 117(1), 13–15 (1995).
[CrossRef]

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110(1), 113–117 (1994).
[CrossRef]

Davis, J.

Hariharan, P.

P. Hariharan, P. E. Ciddor, “Achromatic phase-shifters: 2. A quantized ferroelectric liquid-crystal system” Opt. Commun. 117(1), 13–15 (1995).
[CrossRef]

P. Hariharan et al., “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41(4), 663–667 (1994).
[CrossRef]

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41(11), 2197–2201 (1994).
[CrossRef]

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110(1), 113–117 (1994).
[CrossRef]

Pancharatnam, S.

S. Pancharatnam, “Generalized theory of interference and its applications. Part I. Coherent pencils,” Proc. Indian. Acad. Sci. 44, 2247–2262 (1956).

S. Pancharatnam, Collected Works of S. Pancharatnam, (Oxford University Press, Oxford, 1975), pp. 77–92.

Roy, M.

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41(11), 2197–2201 (1994).
[CrossRef]

Tango, W. J.

Appl. Opt. (1)

J. Mod. Opt. (3)

P. Hariharan, M. Roy, “White-light phase-stepping interferometry for surface profiling,” J. Mod. Opt. 41(11), 2197–2201 (1994).
[CrossRef]

P. Hariharan et al., “The geometric phase: interferometric observations with white light,” J. Mod. Opt. 41(4), 663–667 (1994).
[CrossRef]

M. V. Berry, “The adiabatic phase and Pancharatnam’s phase for polarized light,” J. Mod. Opt. 34(11), 1401–1407 (1987).
[CrossRef]

Opt. Commun. (2)

P. Hariharan, P. E. Ciddor, “An achromatic phase-shifter operating on the geometric phase,” Opt. Commun. 110(1), 113–117 (1994).
[CrossRef]

P. Hariharan, P. E. Ciddor, “Achromatic phase-shifters: 2. A quantized ferroelectric liquid-crystal system” Opt. Commun. 117(1), 13–15 (1995).
[CrossRef]

Proc. Indian. Acad. Sci. (1)

S. Pancharatnam, “Generalized theory of interference and its applications. Part I. Coherent pencils,” Proc. Indian. Acad. Sci. 44, 2247–2262 (1956).

Other (1)

S. Pancharatnam, Collected Works of S. Pancharatnam, (Oxford University Press, Oxford, 1975), pp. 77–92.

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Figures (2)

FIGURE 1
FIGURE 1

Poincare sphere representation of the operation of a phase shifter using the Pancharatnam phase.

FIGURE 2
FIGURE 2

Intensity profiles across a white-light interference pattern for values of the achromatic phase shift Ø of 0° and ± 180°.

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