Abstract

An actively stabilized interferometer with a constant optical path difference is a key element in long-term astronomical observation, and resolving interference fringe ambiguities is important to produce high-precision results for the long term. We report a simple and reliable method of resolving fringe ambiguities of a wide-field Michelson interferometer by measuring the interference visibility of a noncollimated single-frequency laser beam. Theoretical analysis shows that the interference visibility is sensitive to a subfringe phase shift, and a wide range of beam arrangements is suitable for real implementation. In an experimental demonstration, a Michelson interferometer has an optical path difference of 7mm and a converging monitoring beam has a numerical aperture of 0.045 with an incidental angle of 17°. The resolution of visibility measurements corresponds to 1/16 fringe in the interferometer phase shift. The fringe ambiguity-free region is extended over a range of 100 fringes.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. B. Neumann and H. W. Rose, “Improvement of recorded holographic fringes by feedback control,” Appl. Opt. 6, 1097-1104 (1967).
    [CrossRef] [PubMed]
  2. A. A. Freschi and J. Frejlich, “Adjustable phase control in stabilized interferometry,” Opt. Lett. 20, 635-637 (1995).
    [CrossRef] [PubMed]
  3. A. J. Moore, R. McBride, J. S. Barton, and J. D. Jones, “Closed-loop phase stepping in a calibrated fiber-optic fringe projector for shape measurement,” Appl. Opt. 41, 3348-3354(2002).
    [CrossRef] [PubMed]
  4. V. V. Krishnamachari, E. R. Andresen, S. R. Keiding, and E. O. Potma, “An active interferometer-stabilization scheme with linear phase control,” Opt. Express 14, 5210-5215(2006).
    [CrossRef] [PubMed]
  5. J. Ge, D. J. Erskine, and M. Rushford, “An externally dispersed interferometer for sensitive Doppler extrasolar planet searches,” Publ. Astron. Soc. Pac. 114, 1016-1028(2002).
    [CrossRef]
  6. J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
    [CrossRef]
  7. D. J. Erskine and J. Ge, “Novel interferometer-spectrometer for sensitive stellar radial velocimetry,”Astron. Soc. Pac. Conf. Ser. 195, 501-507(2000).
  8. J. Ge, “Fixed delay interferometry for Doppler extrasolar planet detection,” Astrophys. J. 571, L165-L168(2002).
    [CrossRef]
  9. M. U. Wehner, M. H. Ulm, and M. Wegener, “Scanning interferometer stabilized by use of Pancharatnam's phase,” Opt. Lett. 22, 1455-1457 (1997).
    [CrossRef]
  10. M. C. Park and S. W. Kim, “Direct quadratic polynomial fitting for fringe peak detection of white light scanning interferograms,” Opt. Eng. 39, 952-959 (2000).
    [CrossRef]
  11. C. Yang, A. Wax, R. R. Dasari, and M. S. Feld, “2π ambiguity-free optical distance measurement with subnanometer precision with a novel phase-crossing low-coherence interferometer,” Opt. Lett. 27, 77-79 (2002).
    [CrossRef]
  12. P. De Groot and X. C. De Lega, “Angle-resolved three-dimensional analysis of surface films by coherence scanning interferometry,” Opt. Lett. 32, 1638-1640 (2007).
    [CrossRef] [PubMed]
  13. P. De Groot, “Three-color laser-diode interferometer,” Appl. Opt. 30, 3612-3616 (1991).
    [CrossRef] [PubMed]
  14. X. Wan and H. F. Taylor, “Intrinsic fiber Fabry-Perot temperature sensor with fiber Bragg grating mirrors,” Opt. Lett. 27, 1388-1390 (2002).
    [CrossRef]
  15. R. L. Hilliard and G. G. Shepherd, “Wide-angle Michelson interferometer for measuring Doppler line widths,” J. Opt. Soc. Am. 56, 362-369 (1966).
    [CrossRef]
  16. G. G. Shepherd, W. A. Gault, D. W. Miller, Z. Pasturczyk, S. F. Johnston, P. R. Kosteniuk, J. W. Haslett, D. J. W. Kendall, and J. R. Wimperis, “WAMDII--wide-angle Michelson Doppler imaging interferometer for Spacelab,” Appl. Opt. 24, 1571-1584 (1985).
    [CrossRef] [PubMed]
  17. R. C. Youngquist, S. Carr, and D. E. N. Davies, “Optical coherence-domain reflectometry: a new optical evaluation technique,” Opt. Lett. 12, 158-160 (1987).
    [CrossRef] [PubMed]
  18. D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
    [CrossRef] [PubMed]
  19. F. M. Xu, H. E. Pudavar, P. N. Prasad, and D. Dickensheets, “Confocal enhanced optical coherence tomography for nondestructive evaluation of paints and coatings,” Opt. Lett. 24, 1808-1810 (1999).
    [CrossRef]

2007 (1)

2006 (2)

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

V. V. Krishnamachari, E. R. Andresen, S. R. Keiding, and E. O. Potma, “An active interferometer-stabilization scheme with linear phase control,” Opt. Express 14, 5210-5215(2006).
[CrossRef] [PubMed]

2002 (5)

2000 (2)

M. C. Park and S. W. Kim, “Direct quadratic polynomial fitting for fringe peak detection of white light scanning interferograms,” Opt. Eng. 39, 952-959 (2000).
[CrossRef]

D. J. Erskine and J. Ge, “Novel interferometer-spectrometer for sensitive stellar radial velocimetry,”Astron. Soc. Pac. Conf. Ser. 195, 501-507(2000).

1999 (1)

1997 (1)

1995 (1)

1991 (2)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

P. De Groot, “Three-color laser-diode interferometer,” Appl. Opt. 30, 3612-3616 (1991).
[CrossRef] [PubMed]

1987 (1)

1985 (1)

1967 (1)

1966 (1)

Andresen, E. R.

Barton, J. S.

Carr, S.

Chang, W.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Cochran, W. D.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Cohen, R.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Dasari, R. R.

Davies, D. E. N.

De Groot, P.

De Lega, X. C.

DeWitt, C.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Dickensheets, D.

Endl, M.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Erskine, D. J.

J. Ge, D. J. Erskine, and M. Rushford, “An externally dispersed interferometer for sensitive Doppler extrasolar planet searches,” Publ. Astron. Soc. Pac. 114, 1016-1028(2002).
[CrossRef]

D. J. Erskine and J. Ge, “Novel interferometer-spectrometer for sensitive stellar radial velocimetry,”Astron. Soc. Pac. Conf. Ser. 195, 501-507(2000).

Feld, M. S.

Fleming, S. W.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Flotte, T.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Ford, E. B.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Frejlich, J.

Freschi, A. A.

Futimoto, J. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Gault, W. A.

Ge, J.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

J. Ge, “Fixed delay interferometry for Doppler extrasolar planet detection,” Astrophys. J. 571, L165-L168(2002).
[CrossRef]

J. Ge, D. J. Erskine, and M. Rushford, “An externally dispersed interferometer for sensitive Doppler extrasolar planet searches,” Publ. Astron. Soc. Pac. 114, 1016-1028(2002).
[CrossRef]

D. J. Erskine and J. Ge, “Novel interferometer-spectrometer for sensitive stellar radial velocimetry,”Astron. Soc. Pac. Conf. Ser. 195, 501-507(2000).

Gregory, K.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Guo, P.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Haslett, J. W.

Hee, M. R.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Henry, G. W.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Hilliard, R. L.

Huang, D.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Israelian, G.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Johnston, S. F.

Jones, J. D.

Kane, S. R.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Keiding, S. R.

Kendall, D. J. W.

Kim, S. W.

M. C. Park and S. W. Kim, “Direct quadratic polynomial fitting for fringe peak detection of white light scanning interferograms,” Opt. Eng. 39, 952-959 (2000).
[CrossRef]

Kosteniuk, P. R.

Krishnamachari, V. V.

Lin, C. P.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Mahadevan, S.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Martin, E. L.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

McBride, R.

Miller, D. W.

Montes, D.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Moore, A. J.

Neumann, D. B.

Park, M. C.

M. C. Park and S. W. Kim, “Direct quadratic polynomial fitting for fringe peak detection of white light scanning interferograms,” Opt. Eng. 39, 952-959 (2000).
[CrossRef]

Pasturczyk, Z.

Potma, E. O.

Prasad, P. N.

Pudavar, H. E.

Puliafito, C. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Ramsey, L. W.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Rose, H. W.

Rushford, M.

J. Ge, D. J. Erskine, and M. Rushford, “An externally dispersed interferometer for sensitive Doppler extrasolar planet searches,” Publ. Astron. Soc. Pac. 114, 1016-1028(2002).
[CrossRef]

Schneider, D. P.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Schuman, J. S.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Shepherd, G. G.

Stinson, W. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Swanson, E. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

Taylor, H. F.

Ulm, M. H.

Valenti, J.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Van Eyken, J.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Vanden Heuvel, A.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Wan, X.

Wax, A.

Wegener, M.

Wehner, M. U.

Wimperis, J. R.

Wittenmyer, R. A.

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

Xu, F. M.

Yang, C.

Youngquist, R. C.

Appl. Opt. (4)

Astron. Soc. Pac. Conf. Ser. (1)

D. J. Erskine and J. Ge, “Novel interferometer-spectrometer for sensitive stellar radial velocimetry,”Astron. Soc. Pac. Conf. Ser. 195, 501-507(2000).

Astrophys. J. (2)

J. Ge, “Fixed delay interferometry for Doppler extrasolar planet detection,” Astrophys. J. 571, L165-L168(2002).
[CrossRef]

J. Ge, J. Van Eyken, S. Mahadevan, C. DeWitt, S. R. Kane, R. Cohen, A. Vanden Heuvel, S. W. Fleming, P. Guo, G. W. Henry, D. P. Schneider, L. W. Ramsey, R. A. Wittenmyer, M. Endl, W. D. Cochran, E. B. Ford, E. L. Martin, G. Israelian, J. Valenti, and D. Montes, “The first extrasolar planet discovered with a new generation high throughput Doppler instrument,” Astrophys. J. 648, 683-695(2006).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Eng. (1)

M. C. Park and S. W. Kim, “Direct quadratic polynomial fitting for fringe peak detection of white light scanning interferograms,” Opt. Eng. 39, 952-959 (2000).
[CrossRef]

Opt. Express (1)

Opt. Lett. (7)

Publ. Astron. Soc. Pac. (1)

J. Ge, D. J. Erskine, and M. Rushford, “An externally dispersed interferometer for sensitive Doppler extrasolar planet searches,” Publ. Astron. Soc. Pac. 114, 1016-1028(2002).
[CrossRef]

Science (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Futimoto, “Optical coherence tomography,” Science 254, 1178-1181 (1991).
[CrossRef] [PubMed]

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 (8)

Fig. 1
Fig. 1

Typical closed-loop interferometer stabilization system including a right angle incident collimated laser beam, a CCD camera, a computer, and a PZT-driven mirror. A fringe order registration system uses a photodiode to sense the interference visi bility of a converging beam at a large incident angle.

Fig. 2
Fig. 2

Geometry for determinaation of the incident angle of a beam at ( θ , ϕ ) pointing directions.

Fig. 3
Fig. 3

Solid curves on the right-hand side show the visibility as a function of the phase detune with different NA at an incident angle of 6 ° . The incident angle is 17 ° for the group of dashed curves on the left-hand side.

Fig. 4
Fig. 4

Maximum achievable visibility sensitivity as a function of beam NA at a fixed incident angle. Each curve represents a specific beam incident angle.

Fig. 5
Fig. 5

Photodiode signal as the mirror–beam splitter separation is increased at a constant speed.

Fig. 6
Fig. 6

Typical photodiode signal waveform showing the reduced visibility as the mirror–beam splitter separation decreases at a constant speed. Two horizontal dashed lines mark the highest and the lowest amplitude levels.

Fig. 7
Fig. 7

Monitoring the (a) interference phase angle and (b) the visibility during an interferometer recovery process after an artificial thermal shock.

Fig. 8
Fig. 8

Replotted results of Fig. 7; three fringe orders are clearly separated.

Equations (6)

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

φ ( i ) = 2 π λ ( 2 n t cos j 2 t cos i / n ) 2 π λ 2 δ cos i ,
s ( i ) = s ( i ) ¯ ( 1 V 0 cos ( φ ( i ) ) ,
S = S ¯ ( 1 V cos ψ ) ,
V = V 0 * ( ( 0 2 π d ϕ 0 π / 2 χ ( θ , ϕ ) cos ( φ ( i ) ) sin θ d θ ) 2 + ( 0 2 π d ϕ 0 π / 2 χ ( θ , ϕ ) sin ( φ ( i ) ) sin θ d θ ) 2 ) 1 / 2 0 2 π d ϕ 0 π / 2 χ ( θ , ϕ ) sin θ d θ ,
cos ψ = 0 2 π d ϕ 0 π / 2 χ ( θ , ϕ ) cos ( φ ( i ) ) sin θ d θ ( 0 2 π d ϕ 0 π / 2 χ ( θ , ϕ ) cos ( φ ( i ) ) sin θ d θ ) 2 + ( 0 2 π d ϕ 0 π / 2 χ ( θ , ϕ ) sin ( φ ( i ) ) sin θ d θ ) 2 ) 1 / 2 ,
V V 0 * ( ( 0 π / 2 χ ( α i ) cos ( φ ( i ) ) d i ) 2 + ( 0 π / 2 χ ( α i ) sin ( φ ( i ) ) d i ) 2 ) 1 / 2 / 0 π / 2 χ ( α i ) d i .

Metrics