Abstract

To achieve a diffraction-limited imaging, the piston errors between the segments of the segmented primary mirror telescope should be reduced to λ/40 RMS. We propose a method to detect the piston error by analyzing the intensity distribution on the image plane according to the Fourier optics principle, which can capture segments with the piston errors as large as the coherence length of the input light and reduce these to 0.026λ RMS (λ = 633nm). This method is adaptable to any segmented and deployable primary mirror telescope. Experiments have been carried out to validate the feasibility of the method.

© 2016 Optical Society of America

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References

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  1. R. Gilmozzi and J. Spyromilio, “The 42m European ELT: status,” Proc. SPIE 7012, 701219 (2008).
    [Crossref]
  2. J. Nelson and G. H. Sanders, “The status of the Thirty Meter Telescope project,” Proc. SPIE 7012, 70121A (2008).
    [Crossref]
  3. M. Clampin, “Status of the James Webb Space Telescope observatory,” Proc. SPIE 8442, 84422A (2012).
    [Crossref]
  4. W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).
  5. G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “Phasing the mirror segments of the Keck telescopes: the broadband phasing algorithm,” Appl. Opt. 37(1), 140–155 (1998).
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    [Crossref]
  8. G. Chanan, M. Troy, and E. Sirko, “Phase discontinuity sensing: a method for phasing segmented mirrors in the infrared,” Appl. Opt. 38(4), 704–713 (1999).
    [Crossref] [PubMed]
  9. F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
    [Crossref]
  10. S. Wang, Q. Zhu, and G. Cao, “Cophasing Methods of the Segmented Space Telescope,” Acta Opt. Sin. 29(9), 2428–2434 (2009).
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    [Crossref] [PubMed]
  12. W. Zhao and G. Cao, “Active cophasing and aligning testbed with segmented mirrors,” Opt. Express 19(9), 8670–8683 (2011).
    [Crossref] [PubMed]
  13. Max Born and Emil Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999), Chap. X.

2015 (1)

2012 (1)

M. Clampin, “Status of the James Webb Space Telescope observatory,” Proc. SPIE 8442, 84422A (2012).
[Crossref]

2011 (1)

2010 (1)

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

2009 (1)

S. Wang, Q. Zhu, and G. Cao, “Cophasing Methods of the Segmented Space Telescope,” Acta Opt. Sin. 29(9), 2428–2434 (2009).

2008 (2)

R. Gilmozzi and J. Spyromilio, “The 42m European ELT: status,” Proc. SPIE 7012, 701219 (2008).
[Crossref]

J. Nelson and G. H. Sanders, “The status of the Thirty Meter Telescope project,” Proc. SPIE 7012, 70121A (2008).
[Crossref]

2003 (1)

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

2001 (1)

J. M. Rodriguez-Ramos and J. J. Fuensalida, “Phasing of segmented mirrors: a new algorithm for piston detection,” Mon. Not. R. Astron. Soc. 328(1), 167–173 (2001).
[Crossref]

2000 (1)

1999 (1)

1998 (1)

Basinger, S. A.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Bolcar, M. R.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Bowers, C. W.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Budinoff, J. G.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Burns, L. A.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Cao, G.

W. Zhao and G. Cao, “Active cophasing and aligning testbed with segmented mirrors,” Opt. Express 19(9), 8670–8683 (2011).
[Crossref] [PubMed]

S. Wang, Q. Zhu, and G. Cao, “Cophasing Methods of the Segmented Space Telescope,” Acta Opt. Sin. 29(9), 2428–2434 (2009).

Chanan, G.

Clampin, M.

M. Clampin, “Status of the James Webb Space Telescope observatory,” Proc. SPIE 8442, 84422A (2012).
[Crossref]

Clampin, M. C.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Dean, B. H.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Dekens, F.

Ebbets, D. C.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Feinberg, L. D.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Fuensalida, J. J.

J. M. Rodriguez-Ramos and J. J. Fuensalida, “Phasing of segmented mirrors: a new algorithm for piston detection,” Mon. Not. R. Astron. Soc. 328(1), 167–173 (2001).
[Crossref]

Gilmozzi, R.

R. Gilmozzi and J. Spyromilio, “The 42m European ELT: status,” Proc. SPIE 7012, 701219 (2008).
[Crossref]

Gong, Q.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Gull, T. R.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Howard, J. M.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Hyde, T. T.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Jones, A. L.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Kirkman, D.

Lowman, A. E.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Lyon, R. G.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Mast, T.

Michaels, S.

Nelson, J.

Oegerle, W. R.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Ohara, C.

Ohara, C. M.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Pasquale, B. A.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Perrygo, C.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Petrone, P.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Postman, M.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Purves, L. R.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Redding, D. C.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Rodriguez-Ramos, J. M.

J. M. Rodriguez-Ramos and J. J. Fuensalida, “Phasing of segmented mirrors: a new algorithm for piston detection,” Mon. Not. R. Astron. Soc. 328(1), 167–173 (2001).
[Crossref]

Sanders, G. H.

J. Nelson and G. H. Sanders, “The status of the Thirty Meter Telescope project,” Proc. SPIE 7012, 70121A (2008).
[Crossref]

Shi, F.

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

Simar, J. F.

Sirko, E.

Smith, J. S.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Spyromilio, J.

R. Gilmozzi and J. Spyromilio, “The 42m European ELT: status,” Proc. SPIE 7012, 701219 (2008).
[Crossref]

Stockman, Y.

Surdej, J.

Thompson, P. L.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Thronson, H. A.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Townsend, J. A.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Troy, M.

Wang, S.

S. Wang, Q. Zhu, and G. Cao, “Cophasing Methods of the Segmented Space Telescope,” Acta Opt. Sin. 29(9), 2428–2434 (2009).

Woodgate, B. E.

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Zhao, W.

Zhu, Q.

S. Wang, Q. Zhu, and G. Cao, “Cophasing Methods of the Segmented Space Telescope,” Acta Opt. Sin. 29(9), 2428–2434 (2009).

Acta Opt. Sin. (1)

S. Wang, Q. Zhu, and G. Cao, “Cophasing Methods of the Segmented Space Telescope,” Acta Opt. Sin. 29(9), 2428–2434 (2009).

Appl. Opt. (4)

Mon. Not. R. Astron. Soc. (1)

J. M. Rodriguez-Ramos and J. J. Fuensalida, “Phasing of segmented mirrors: a new algorithm for piston detection,” Mon. Not. R. Astron. Soc. 328(1), 167–173 (2001).
[Crossref]

Opt. Express (1)

Proc. SPIE (5)

F. Shi, D. C. Redding, A. E. Lowman, C. W. Bowers, L. A. Burns, P. Petrone, C. M. Ohara, and S. A. Basinger, “Segmented mirror coarse phasing with a dispersed fringe sensor: experiment on NGST’s wavefront control testbed,” Proc. SPIE 4850, 318–328 (2003).
[Crossref]

R. Gilmozzi and J. Spyromilio, “The 42m European ELT: status,” Proc. SPIE 7012, 701219 (2008).
[Crossref]

J. Nelson and G. H. Sanders, “The status of the Thirty Meter Telescope project,” Proc. SPIE 7012, 70121A (2008).
[Crossref]

M. Clampin, “Status of the James Webb Space Telescope observatory,” Proc. SPIE 8442, 84422A (2012).
[Crossref]

W. R. Oegerle, L. D. Feinberg, L. R. Purves, T. T. Hyde, H. A. Thronson, J. A. Townsend, M. Postman, M. R. Bolcar, J. G. Budinoff, B. H. Dean, M. C. Clampin, D. C. Ebbets, Q. Gong, T. R. Gull, J. M. Howard, A. L. Jones, R. G. Lyon, B. A. Pasquale, C. Perrygo, J. S. Smith, P. L. Thompson, and B. E. Woodgate, “ATLAST-9.2m: a large-aperture deployable space telescope,” Proc. SPIE 7731(2), 52–56 (2010).

Other (1)

Max Born and Emil Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999), Chap. X.

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Figures (14)

Fig. 1
Fig. 1 Telescope segments(hexagons) and sparse subpupil(circles) configuration.
Fig. 2
Fig. 2 MTFnph-p curve of the Eq. (16).
Fig. 3
Fig. 3 The PSF of optical system (a = 0.5m, b = 1.73m).
Fig. 4
Fig. 4 The MTF corresponding to the Fig. 3.
Fig. 5
Fig. 5 The PSF of optical system (a = 0.5m, b = 1.73m).
Fig. 6
Fig. 6 The MTF corresponding to the Fig. 5.
Fig. 7
Fig. 7 MTFnph as a function of the p between two segments, Circles express individual simulation data in 10λ steps, solid line is the curve of the Eq. (16).
Fig. 8
Fig. 8 The two-piece quartic polynomial function curve for Eq. (16).
Fig. 9
Fig. 9 The difference between the measured piston error and the settled piston error.
Fig. 10
Fig. 10 Optical layout of the ACAT.
Fig. 11
Fig. 11 The mask with three sparse circular subpupils.
Fig. 12
Fig. 12 The PSF deformed by the piston error of the Seg.3.
Fig. 13
Fig. 13 The MTF corresponding to the Fig. 12.
Fig. 14
Fig. 14 Result evaluated by FISBA interferometer after closed-loop correction. The individual segment figure error is about PV = 0.24λ, RMS = 0.03λ.

Tables (2)

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Table 1 Difference Between the Calculated MTFnph and the Fitting MTFnph

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Table 2 Difference Between the Measured Piston Error and the Settled Piston Error

Equations (19)

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G( x,y )=A( x,y )[ circ( x B 2 ,y D/2 ) e i φ 1 +circ( x+ B 2 ,y D/2 ) e i φ 2 ],
A( x,y )={ 1 in the subpupils 0 out of the subpupils .
Δφ= φ 2 φ 1 = 2π λ p,
PS F m ( u,v,λ )= | FT[ G( x,y ) ] | 2 =2 D 2 2 J 1 2 ( πD u 2 + v 2 ) u 2 + v 2 [ 1+cos( 2π λ p2πuB ) ] = F diffraction F interference ,
L= L c 2 = λ 0 2 2Δλ ,
PS F m ( x,y,λ )=2 D 2 2 f 2 λ 2 J 1 2 ( πD λf x 2 + y 2 ) x 2 + y 2 [ 1+cos( 2πp λ 2πB λf x ) ].
OTF( f x , f y )=FT[ PS F m ( x,y,λ ) ] =2OT F sub ( f x , f y )+OT F sub ( f x + B λf , f y ) e i 2π λ p +OT F sub ( f x B λf , f y ) e i 2π λ p ,
OT F sub ( f x , f y )={ 2 π [ arccos( λf D ρ )( λf D ρ ) 1 ( λf D ρ ) 2 ] ρ D λf 0 ρ> D λf ,
MTF( f x , f y )=| OTF( f x , f y ) | =| 2OT F sub ( f x , f y ) |+| OT F sub ( f x + B λf , f y ) e i 2π λ p |+| OT F sub ( f x B λf , f y ) e i 2π λ p | =2MT F sub ( f x , f y )+MT F sub ( f x + B λf , f y )+MT F sub ( f x B λf , f y ),
MT F sub ( f x , f y )=| OT F sub ( f x , f y ) |.
PS F c ( x,y,λ )=2 λ 0 Δλ 2 λ 0 + Δλ 2 PS F m ( x,y,λ ) S( λ )dλ ,
PS F c ( x,y,λ )= t=1 n [ PS F m ( x,y, λ t )Δλ n ] = Δλ n t=1 n { 2 ( D 2 2 ) f 2 λ t 2 J 1 2 ( πD λ t f x 2 + y 2 ) x 2 + y 2 [ 1+cos 2π λ t ( p B f x ) ] } .
OT F array ( f x , f y )=FT[ PS F c ( x,y,λ ) ] = Δλ n t=1 n [ 2OT F sub ( f x , f y )+OT F sub ( f x + B λ t f , f y ) e i 2π λ t p +OT F sub ( f x B λ t f , f y ) e i 2π λ t p ] .
OT F ph ( f x , f y )= Δλ n OT F sub ( f x + B λ 0 f , f y )[ t=1 n e i 2π λ t p ].
MT F ph ( f x , f y )=| OT F ph ( f x , f y ) | = Δλ n MT F sub ( f x , f y ) n+[ j=1 n1 t=j n1 cos( 2π λ t p+ 2π λ t+1 p ) ] .
MT F nph ( B λ 0 f ,0 )=MT F nph ( B λ 0 f ,0 )= 1 n n+[ j=1 n1 t=j n1 cos( 2π λ t p+ 2π λ t+1 p ) ] .
L= L c 2 = λ 0 2 2Δλ = ( 632.8nm ) 2 2×1nm 200μm.
MT F nph ={ A 1 p 4 + B 1 p 3 + C 1 p 2 + D 1 p+ E 1 0p< L s A 2 p 4 + B 2 p 3 + C 2 p 2 + D 2 p+ E 2 L s pL ,
MT F nph ={ 15.8859 p 4 +0.5265 p 3 7.4497 p 2 +0.0012p+1 0p<0.1953( μm ) 15.0458 p 4 +4.4962 p 3 10.8357 p 2 +0.9790p+0.9086 0.1953p0.5( μm ) .

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