Abstract

Extending previous work by Thurman on wavefront sensing for segmented-aperture systems, we developed an algorithm for estimating segment tips and tilts from multiple point spread functions in different defocused planes. We also developed methods for overcoming two common modes for stagnation in nonlinear optimization-based phase retrieval algorithms for segmented systems. We showed that when used together, these methods largely solve the capture range problem in focus-diverse phase retrieval for segmented systems with large tips and tilts. Monte Carlo simulations produced a rate of success better than 98% for the combined approach.

© 2014 Optical Society of America

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References

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2012 (1)

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

2011 (1)

2009 (1)

2008 (1)

2007 (2)

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

2006 (1)

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

2004 (1)

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

1993 (2)

1982 (1)

Acton, D. S.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

Aronstein, D.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Aronstein, D. L.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Atcheson, P. D.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

Barto, A.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Basinger, S.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Bauer, B.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Bowers, C.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Bowers, C. W.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Burns, L.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Carey, L.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Cermak, M.

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

Comeau, T.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Contos, A.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Contos, A. R.

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Dean, B.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Dean, B. H.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Elliott, E.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Feinberg, L.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Feinberg, L. D.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Fienup, J. R.

Grimaldi, S.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Guizar-Sicairos, M.

Hansen, K.

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Hayden, W.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Kingsbury, L. K.

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

Klingemann, L.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Knight, J. S.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

League, B.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Lightsey, P.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Lyon, R. G.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Malacara, D.

D. Malacara, Optical Shop Testing (Wiley, 2007).

Marron, J. C.

Meza, L.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Perrin, M.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Redding, D.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Redding, D. C.

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

Sabatke, E.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Schulz, T. J.

Schwenker, J.

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Seldin, J. H.

Shi, F.

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

Shields, D.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Shiri, R.

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Smith, J. S.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

Smith, S.

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

Soummer, R.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Starr, C. W.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Swensen, J.

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Terry, J.

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Thurman, S. T.

Towell, T.

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

Zielinski, T.

T. Zielinski and J. R. Fienup, “Extending wavefront sensing capture range for segmented systems through tip and tilt estimation,” in Frontiers in Optics (Optical Society of America, 2006), paper FMF4.

Appl. Opt. (3)

J. Opt. Soc. Am. A (2)

Opt. Lett. (1)

Proc. SPIE (5)

L. D. Feinberg, B. H. Dean, D. L. Aronstein, C. W. Bowers, W. Hayden, R. G. Lyon, R. Shiri, J. S. Smith, D. S. Acton, L. Carey, A. Contos, E. Sabatke, J. Schwenker, D. Shields, T. Towell, F. Shi, and L. Meza, “TRL-6 for JWST wavefront sensing and control,” Proc. SPIE 6687, 668708 (2007).
[CrossRef]

D. S. Acton, P. D. Atcheson, M. Cermak, L. K. Kingsbury, F. Shi, and D. C. Redding, “James Webb Space Telescope wavefront sensing and control algorithms,” Proc. SPIE 5487, 887–896 (2004).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, J. Swensen, D. Shields, E. Sabatke, L. Klingemann, A. R. Contos, B. Bauer, K. Hansen, P. D. Atcheson, D. Redding, F. Shi, S. Basinger, B. Dean, and L. Burns, “Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope,” Proc. SPIE 6265, 62650R (2006).
[CrossRef]

D. S. Acton, T. Towell, J. Schwenker, D. Shields, E. Sabatke, A. R. Contos, K. Hansen, F. Shi, B. Dean, and S. Smith, “End-to-end commissioning demonstration of the James Webb Space Telescope,” Proc. SPIE 6687, 668706 (2007).
[CrossRef]

D. S. Acton, J. S. Knight, A. Contos, S. Grimaldi, J. Terry, P. Lightsey, A. Barto, B. League, B. Dean, J. S. Smith, C. Bowers, D. Aronstein, L. Feinberg, W. Hayden, T. Comeau, R. Soummer, E. Elliott, M. Perrin, and C. W. Starr, “Wavefront sensing and controls for the James Webb Space Telescope,” Proc. SPIE 8442, 84422H (2012).
[CrossRef]

Other (2)

D. Malacara, Optical Shop Testing (Wiley, 2007).

T. Zielinski and J. R. Fienup, “Extending wavefront sensing capture range for segmented systems through tip and tilt estimation,” in Frontiers in Optics (Optical Society of America, 2006), paper FMF4.

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Figures (7)

Fig. 1.
Fig. 1.

Components of a representative wavefront error. (a) Total wavefront, (b) wavefront with the segment tip–tilt removed, (c) intrasegment aberrations, (d) segment tip–tilt component of the wavefront, (e) segment piston component, and (f) global component. Color bars are in units of waves for all figures.

Fig. 2.
Fig. 2.

Example PSFs with and without blurring. (a), (c), (e) PSFs without blurring, and (b), (d), (f) PSFs after blurring. PSFs are shown as intensity to the one quarter power. The top row is 8 waves out of focus, the middle row is nominally in focus, and the bottom row is +8 waves out of focus.

Fig. 3.
Fig. 3.

Example probability densities (shown as the square root). (a) An unambiguous one with a single peak, (b) an ambiguous one with multiple peaks, and (c) the density from (b) after it has been corrected to remove ambiguity.

Fig. 4.
Fig. 4.

Comparison of (a) a true wavefront, (b) the tip–tilt estimated by Thurman’s method, (c) their difference, (d) the phase retrieval results starting from the initial ray-based estimate from Thurman’s method, and (e) the error in the phase retrieval. Note that three particular segments have larger tilt errors in the ray estimate and higher order errors in the phase retrieval. The color bar units are waves.

Fig. 5.
Fig. 5.

For the examples, the mask identifying high-confidence segments used to remove light from the PSF and joint density functions.

Fig. 6.
Fig. 6.

Comparison of (a) the true wavefront, (b) the improved estimated wavefront by the ray-based estimate using Eq. (7), (c) their difference, which is improved from the result in Fig. 4(c), (d) phase retrieval results starting from the improved ray-based estimate, and (e) the error in phase retrieval. Note that the residual wavefront error in (e) is small (thousandths of a wave) for all segments. The color bar units are waves.

Fig. 7.
Fig. 7.

Fraction of converged cases comparing the new method with iterative estimation, Thurman’s approach, and standard phase retrieval. The cases are binned by RMS tip–tilt, with the upper edge of the bin interval on the horizontal axis.

Equations (12)

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p(x,y)BI(x,y),
x,jref=Δzxjpupf
x,j=x,j+x,jref,
p,j(θx,j,θy,j)BI(θx,jf+x,jref,θy,jf+y,jref).
pj(θx,θy)p,j(θx,θy).
(θ^x,j,θ^y,j)=argmax(θx,θy)[pj(θx,θy)].
ψ^k+1={Kγ¯k[IMγk[ψ^k,γk]],γ¯kψ^k,γk,γk,
ΔI=IM[ψ^pr],
ε,j(θx,θy)=BΔI(θxf+x,jref,θyf+y,jref).
εj(θx,θy)=ε,j(θx,θy).
Δεj=max[εj(θx,θy)]min[εj(θx,θy)],
ψ^new={Kje[IMγ[ψ^pr,γ]],jeψ^pr,γ,γ,,

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