Abstract

A simple multipass interferometer is described that takes advantage of the limited coherence length of a light source in order to increase the sensitivity. The sensitivity augmentation is accomplished by insertion of a beam splitter into one leg of the interferometer, thereby achieving multiple reflections between the end mirror and the beam splitter. The path length of the other leg is then varied corresponding to one, two, three, or more reflections, resulting in a onefold, twofold, threefold, etc. increase in sensitivity.

© 1995 Optical Society of America

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References

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  1. T. Tsuruta, Y. Itoh, Appl. Opt. 8, 2033 (1969).
    [Crossref] [PubMed]
  2. G. D. Chapman, Appl. Opt. 13, 679 (1974).
    [Crossref] [PubMed]
  3. Y. I. Ostrovsky, M. M. Busutov, G. V. Ostrovskaya, Interferometry by Holography (Springer-Verlag, Berlin, 1980), Chap. 3, p. 178.
  4. J. Surget, G. Dunet, Proc. Soc. Photo-Opt. Instrum. Eng. 1358, 65 (1990).
  5. T. E. Carlsson, Opt. Eng. 32, 2587 (1993).
    [Crossref]

1993 (1)

T. E. Carlsson, Opt. Eng. 32, 2587 (1993).
[Crossref]

1990 (1)

J. Surget, G. Dunet, Proc. Soc. Photo-Opt. Instrum. Eng. 1358, 65 (1990).

1974 (1)

1969 (1)

Busutov, M. M.

Y. I. Ostrovsky, M. M. Busutov, G. V. Ostrovskaya, Interferometry by Holography (Springer-Verlag, Berlin, 1980), Chap. 3, p. 178.

Carlsson, T. E.

T. E. Carlsson, Opt. Eng. 32, 2587 (1993).
[Crossref]

Chapman, G. D.

Dunet, G.

J. Surget, G. Dunet, Proc. Soc. Photo-Opt. Instrum. Eng. 1358, 65 (1990).

Itoh, Y.

Ostrovskaya, G. V.

Y. I. Ostrovsky, M. M. Busutov, G. V. Ostrovskaya, Interferometry by Holography (Springer-Verlag, Berlin, 1980), Chap. 3, p. 178.

Ostrovsky, Y. I.

Y. I. Ostrovsky, M. M. Busutov, G. V. Ostrovskaya, Interferometry by Holography (Springer-Verlag, Berlin, 1980), Chap. 3, p. 178.

Surget, J.

J. Surget, G. Dunet, Proc. Soc. Photo-Opt. Instrum. Eng. 1358, 65 (1990).

Tsuruta, T.

Appl. Opt. (2)

Opt. Eng. (1)

T. E. Carlsson, Opt. Eng. 32, 2587 (1993).
[Crossref]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

J. Surget, G. Dunet, Proc. Soc. Photo-Opt. Instrum. Eng. 1358, 65 (1990).

Other (1)

Y. I. Ostrovsky, M. M. Busutov, G. V. Ostrovskaya, Interferometry by Holography (Springer-Verlag, Berlin, 1980), Chap. 3, p. 178.

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Figures (3)

Fig. 1
Fig. 1

Principle of the multipass interferometer. M’s, mirrors; BS’s, beam splitters; D, detector.

Fig. 2
Fig. 2

Experimental setup. M’s, mirrors; BS1, variable beam splitter; BS2, 50/50 beam splitter; L, lens. The laser is an argon-ion laser without an étalon, λ = 488 nm and lc = 4 cm.

Fig. 3
Fig. 3

Result of the fringe counting.

Equations (7)

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u ( t ) = u 0 Ω f ( ω ) exp ( - i ω t ) d ω ,
I T = u 0 2 [ 1 + G ( Δ r ) cos ( k Δ r ) ] ,
G ( Δ r ) = 1 G 0 Ω f 2 ( ω ) exp [ - i ( Δ r c Δ ω ) ] d ω ,
u 1 = u ( t + τ 1 ) 2 ,             τ 1 = a c , u 2 = t 2 2 i = 1 r i - 1 u ( t + τ 2 i ) ,             τ 2 i = b 1 + i b 2 c ,
I T = u 0 2 [ 1 + t 2 r n - 1 G ( n δ ) cos ( k n δ ) ] .
V = I max - I min I max + I min = G ( n δ ) t 2 r n - 1 .
d V d r = 0 r max = n - 1 n + 1 V max = 4 ( n - 1 ) n - 1 ( n + 1 ) n + 1 ,             n > 1 .

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