Abstract

A novel two-beam interferometer for the measurement of a refractive index or its induced changes is described. This interferometer consists of only two optical elements and is largely insensitive to their movement. A laboratory prototype has been built. It uses a polarized version of the folded Jamin interferometer to allow for convenient phase adjustment.

© 1996 Optical Society of America

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References

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  1. J. Jamin, C. R. Acad. Sci. 42, 482 (1856).
  2. L. Mach, Z. Instrumentenkd. 12, 89 (1892).
  3. L. Zehnder, Z. Instrumentenkd. 11, 275 (1891).
  4. A. A. Michelson, E. W. Morley, Philos. Mag. 24, 449 (1887).
  5. N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
    [CrossRef]
  6. W. T. Estler, Appl. Opt. 24, 808 (1985).
    [CrossRef] [PubMed]
  7. P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
    [CrossRef]
  8. S. F. Fulghum, M. M. Tilleman, J. Opt. Soc. Am. B 8, 2401 (1991).
    [CrossRef]
  9. D. L. Mazzoni, C. C. Davis, Appl. Opt. 30, 756 (1991).
    [CrossRef] [PubMed]
  10. R. Schieder, Opt. Commun. 26, 113 (1978).
    [CrossRef]
  11. F. V. Kowalski, W. T. Hill, A. L. Schawlow, Opt. Lett. 2, 112 (1978).
    [CrossRef] [PubMed]
  12. M. J. Downs, K. P. Birch, Precis. Eng. 5, 105 (1983).
    [CrossRef]
  13. G. Sagnac, C. R. Acad. Sci. 157, 708 (1913).
  14. G. Sagnac, C. R. Acad. Sci. 157, 1410 (1913).
  15. W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
    [CrossRef]
  16. M. A. Player, J. Mod. Opt. 35, 1813 (1988).
    [CrossRef]
  17. H. Moosmüller, W. P. Arnott, C. F. Rogers, “Methods for real time, in situ measurement of aerosol light absorption,”J. Air Waste Manag. Assoc. (to be published).
  18. G. C. Bjorklund, Opt. Lett. 5, 15 (1980).
    [CrossRef] [PubMed]

1993 (1)

N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
[CrossRef]

1991 (2)

1988 (1)

M. A. Player, J. Mod. Opt. 35, 1813 (1988).
[CrossRef]

1986 (1)

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

1985 (2)

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

W. T. Estler, Appl. Opt. 24, 808 (1985).
[CrossRef] [PubMed]

1983 (1)

M. J. Downs, K. P. Birch, Precis. Eng. 5, 105 (1983).
[CrossRef]

1980 (1)

1978 (2)

1913 (2)

G. Sagnac, C. R. Acad. Sci. 157, 708 (1913).

G. Sagnac, C. R. Acad. Sci. 157, 1410 (1913).

1892 (1)

L. Mach, Z. Instrumentenkd. 12, 89 (1892).

1891 (1)

L. Zehnder, Z. Instrumentenkd. 11, 275 (1891).

1887 (1)

A. A. Michelson, E. W. Morley, Philos. Mag. 24, 449 (1887).

1856 (1)

J. Jamin, C. R. Acad. Sci. 42, 482 (1856).

Arnott, W. P.

H. Moosmüller, W. P. Arnott, C. F. Rogers, “Methods for real time, in situ measurement of aerosol light absorption,”J. Air Waste Manag. Assoc. (to be published).

Birch, K. P.

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

M. J. Downs, K. P. Birch, Precis. Eng. 5, 105 (1983).
[CrossRef]

Bjorklund, G. C.

Bobroff, N.

N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
[CrossRef]

Chow, W. W.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Davis, C. C.

Downs, M. J.

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

M. J. Downs, K. P. Birch, Precis. Eng. 5, 105 (1983).
[CrossRef]

Estler, W. T.

Fulghum, S. F.

Gea-Banacloche, J.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Hill, W. T.

Jamin, J.

J. Jamin, C. R. Acad. Sci. 42, 482 (1856).

Kowalski, F. V.

Mach, L.

L. Mach, Z. Instrumentenkd. 12, 89 (1892).

Mazzoni, D. L.

Michelson, A. A.

A. A. Michelson, E. W. Morley, Philos. Mag. 24, 449 (1887).

Moosmüller, H.

H. Moosmüller, W. P. Arnott, C. F. Rogers, “Methods for real time, in situ measurement of aerosol light absorption,”J. Air Waste Manag. Assoc. (to be published).

Morley, E. W.

A. A. Michelson, E. W. Morley, Philos. Mag. 24, 449 (1887).

Pedrotti, L. M.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Player, M. A.

M. A. Player, J. Mod. Opt. 35, 1813 (1988).
[CrossRef]

Reinboth, F.

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

Rogers, C. F.

H. Moosmüller, W. P. Arnott, C. F. Rogers, “Methods for real time, in situ measurement of aerosol light absorption,”J. Air Waste Manag. Assoc. (to be published).

Sagnac, G.

G. Sagnac, C. R. Acad. Sci. 157, 708 (1913).

G. Sagnac, C. R. Acad. Sci. 157, 1410 (1913).

Sanders, V. E.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Schawlow, A. L.

Schellekens, P.

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

Schieder, R.

R. Schieder, Opt. Commun. 26, 113 (1978).
[CrossRef]

Schleich, W.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Scully, M. O.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Spronck, J.

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

Tilleman, M. M.

Wilkening, G.

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

Zehnder, L.

L. Zehnder, Z. Instrumentenkd. 11, 275 (1891).

Appl. Opt. (2)

C. R. Acad. Sci. (3)

G. Sagnac, C. R. Acad. Sci. 157, 708 (1913).

G. Sagnac, C. R. Acad. Sci. 157, 1410 (1913).

J. Jamin, C. R. Acad. Sci. 42, 482 (1856).

J. Mod. Opt. (1)

M. A. Player, J. Mod. Opt. 35, 1813 (1988).
[CrossRef]

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

Meas. Sci. Technol. (1)

N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
[CrossRef]

Metrologia (1)

P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, J. Spronck, Metrologia 22, 279 (1986).
[CrossRef]

Opt. Commun. (1)

R. Schieder, Opt. Commun. 26, 113 (1978).
[CrossRef]

Opt. Lett. (2)

Philos. Mag. (1)

A. A. Michelson, E. W. Morley, Philos. Mag. 24, 449 (1887).

Precis. Eng. (1)

M. J. Downs, K. P. Birch, Precis. Eng. 5, 105 (1983).
[CrossRef]

Rev. Mod. Phys. (1)

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
[CrossRef]

Z. Instrumentenkd. (2)

L. Mach, Z. Instrumentenkd. 12, 89 (1892).

L. Zehnder, Z. Instrumentenkd. 11, 275 (1891).

Other (1)

H. Moosmüller, W. P. Arnott, C. F. Rogers, “Methods for real time, in situ measurement of aerosol light absorption,”J. Air Waste Manag. Assoc. (to be published).

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Figures (4)

Fig. 1
Fig. 1

Folded Jamin interferometer.

Fig. 2
Fig. 2

Folded Jamin interferometer operated as a Sagnac interferometer.

Fig. 3
Fig. 3

Beam-splitter cube cemented together with a right-angle prism used as a beam splitter for the folded Jamin interferometer.

Fig. 4
Fig. 4

Polarized, folded Jamin interferometer.

Equations (2)

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d p = t p sin ( 2 α ) [ ( n p / n a ) 2 - sin 2 α ] 1 / 2 ,
d = d p ± d a p = d p ± 2 Δ ,

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