Abstract

A 3-D Sagnac interferometer can null out light from an on-axis source achromatically. The 3-D Sagnac interferometer can make stable and achromatic π phase shifts, because it has a common path structure. The achromaticity of the interferometer is theoretically proved by Jones calculus. The experimental setup is constructed, and its nulling characteristics are measured to be about 106 at 5 λd for green (λ=532nm) and red (λ=633nm) laser light simultaneously. This interferometer would be very useful for the direct detection of faint extrasolar planets.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
    [CrossRef] [PubMed]
  2. B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
    [CrossRef]
  3. P. Baudoz, Y. Rabbia, and J. Gay, Astron. Astrophys. Suppl. Ser. 141, 319 (2000).
    [CrossRef]
  4. A. V. Tavrov, Y. Kobayashi, Y. Tanaka, T. Shioda, Y. Otani, and T. Kurokawa, Opt. Lett. 30, 2224 (2005).
    [CrossRef] [PubMed]
  5. A. V. Tavrov, J. Nishikawa, M. Tamura, L. Abe, K. Yokochi, T. Kurokawa, and M. Takeda, Appl. Opt. 46, 6885 (2007).
    [CrossRef] [PubMed]
  6. N. M. Elias, Astrophys. J. 549, 647 (2001).
    [CrossRef]
  7. J. Nishikawa, L. Abe, N. Murakami, and T. Kotani, Astron. Astrophys. 489, 1389 (2008).
    [CrossRef]
  8. J. T. Trauger and W. A. Traub, Nature 446, 771 (2008).
    [CrossRef]

2008 (2)

J. Nishikawa, L. Abe, N. Murakami, and T. Kotani, Astron. Astrophys. 489, 1389 (2008).
[CrossRef]

J. T. Trauger and W. A. Traub, Nature 446, 771 (2008).
[CrossRef]

2007 (1)

2005 (1)

2003 (1)

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

2002 (1)

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

2001 (1)

N. M. Elias, Astrophys. J. 549, 647 (2001).
[CrossRef]

2000 (1)

P. Baudoz, Y. Rabbia, and J. Gay, Astron. Astrophys. Suppl. Ser. 141, 319 (2000).
[CrossRef]

Abe, L.

Baudoz, P.

P. Baudoz, Y. Rabbia, and J. Gay, Astron. Astrophys. Suppl. Ser. 141, 319 (2000).
[CrossRef]

Beichman, C. A.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Elias, N. M.

N. M. Elias, Astrophys. J. 549, 647 (2001).
[CrossRef]

Gay, J.

P. Baudoz, Y. Rabbia, and J. Gay, Astron. Astrophys. Suppl. Ser. 141, 319 (2000).
[CrossRef]

Harwit, M. O.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Jucks, K. W.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Kasting, J. F.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Kobayashi, Y.

Kotani, T.

J. Nishikawa, L. Abe, N. Murakami, and T. Kotani, Astron. Astrophys. 489, 1389 (2008).
[CrossRef]

Kurokawa, T.

Levine, B. M.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Lin, D. N. C.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Liu, D. T.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Lunine, J. I.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Marais, D. J. D.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Mennesson, B.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Murakami, N.

J. Nishikawa, L. Abe, N. Murakami, and T. Kotani, Astron. Astrophys. 489, 1389 (2008).
[CrossRef]

Nishikawa, J.

Otani, Y.

Rabbia, Y.

P. Baudoz, Y. Rabbia, and J. Gay, Astron. Astrophys. Suppl. Ser. 141, 319 (2000).
[CrossRef]

Schneider, J.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Seager, S.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Serabyn, E.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Shao, M.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Shioda, T.

Takeda, M.

Tamura, M.

Tanaka, Y.

Tavrov, A. V.

Traub, W. A.

J. T. Trauger and W. A. Traub, Nature 446, 771 (2008).
[CrossRef]

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Trauger, J. T.

J. T. Trauger and W. A. Traub, Nature 446, 771 (2008).
[CrossRef]

Unwin, S. C.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Wallace, J. K.

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Woolf, N. J.

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Yokochi, K.

Appl. Opt. (1)

Astrobiology (1)

D. J. D. Marais, M. O. Harwit, K. W. Jucks, J. F. Kasting, D. N. C. Lin, J. I. Lunine, J. Schneider, S. Seager, W. A. Traub, and N. J. Woolf, Astrobiology 2, 153 (2002).
[CrossRef] [PubMed]

Astron. Astrophys. (1)

J. Nishikawa, L. Abe, N. Murakami, and T. Kotani, Astron. Astrophys. 489, 1389 (2008).
[CrossRef]

Astron. Astrophys. Suppl. Ser. (1)

P. Baudoz, Y. Rabbia, and J. Gay, Astron. Astrophys. Suppl. Ser. 141, 319 (2000).
[CrossRef]

Astrophys. J. (1)

N. M. Elias, Astrophys. J. 549, 647 (2001).
[CrossRef]

Nature (1)

J. T. Trauger and W. A. Traub, Nature 446, 771 (2008).
[CrossRef]

Opt. Lett. (1)

Proc. SPIE (1)

B. Mennesson, M. Shao, B. M. Levine, J. K. Wallace, D. T. Liu, E. Serabyn, S. C. Unwin, and C. A. Beichman, Proc. SPIE 4860, 32 (2003).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Schematic of the 3-D Sagnac interferometer consisting of a polarized beam splitter (PBS), a beam splitter (BS), and six plane mirrors (M1–M6).

Fig. 2
Fig. 2

Experimental setup of the 3-D Sagnac interferometer.

Fig. 3
Fig. 3

(Upper) Interferometric images and (lower) intensity profiles. The constructive images of (a) 532 nm and (b) 633 nm , and the destructive images of (c) 532 nm and (d) 633 nm . The graph shows the azimuthally averaged intensity profiles as a function of separation from the image center together with the simulated one, assuming wavefront errors of about λ 200 rms . Theoretical transmittance of off-axis light is also plotted.

Equations (11)

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

E 1 = J PBS ( π 2 θ ) R ( ψ 7 , 8 ) J BS r R ( ψ 6 , 7 ) J M 6 R ( ψ 1 , 2 ) J M 1 R ( ψ 0 , 1 ) J BS t J PBS ( θ ) E ,
= J 1 E ,
E 2 = J PBS ( π 2 θ ) R ( ψ 7 , 8 ) J BS t R ( ψ 6 , 7 ) J M 1 R ( ψ 1 , 2 ) J M 6 R ( ψ 0 , 1 ) J BS r J PBS ( θ ) E = J 2 E .
J BS t = [ A 0 0 B ] , J BS r = [ A 0 0 B ] ,
J M i = J M = [ C 0 0 D ] ,
J PBS ( θ ) = [ cos 2 θ sin θ cos θ sin θ cos θ sin 2 θ ] ,
{ A = t p ( λ ) e i Ψ t p ( λ ) B = t s ( λ ) e i Ψ t s ( λ ) } , { A = r p ( λ ) e i Ψ r p ( λ ) B = r s ( λ ) e i Ψ r s ( λ ) } ,
{ C = γ p ( λ ) e i Φ p ( λ ) D = γ s ( λ ) e i Φ s ( λ ) } .
J 1 = C 3 D 3 X [ cos θ sin θ sin 2 θ cos 2 θ cos θ sin θ ] ,
J 2 = C 3 D 3 Y [ cos θ sin θ sin 2 θ cos 2 θ cos θ sin θ ] ,
{ X = A B cos 2 θ B A sin 2 θ Y = A B sin 2 θ B A cos 2 θ } .

Metrics