Abstract

The active control of a primary mirror for a ring aperture segmented telescope is different from that of a full aperture segmented telescope. Two active maintenance proposals for the ring telescope designed from the segmented patterns are outlined. We present a preliminary calculation of noise propagation and analysis of primary mirror mode characteristics for each proposal. The modulation transfer functions (MTFs) of the primary mirror corresponding to each maintenance method at several typical working wavelengths are also simulated.

© 2009 Optical Society of America

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Z. Liu and X. Cui, “The ELT situation in China,” Proc. SPIE 6986, 698606 (2008).
[CrossRef]

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

2006 (2)

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

2004 (2)

2003 (1)

D. MacMartin and G. Chanan, “Control of the California Extremely Large Telescope primary mirror,” Proc. SPIE 4840, 69-80 (2003).
[CrossRef]

2000 (1)

1998 (1)

1990 (2)

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Andreae, S.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Arthur, A. A.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

Biocca, A. K.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Chanan, G.

Chanan, G. A.

Cohen, R. W.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Cui, X.

Z. Liu and X. Cui, “The ELT situation in China,” Proc. SPIE 6986, 698606 (2008).
[CrossRef]

Dai, Y.

Y. Dai, “Research on active control of primary mirror of 30 m Ring Interferometric Telescope,” Ph.D. dissertation (Yunnan Astronomical Observatory, Chinese Academy of Sciences, 2008), pp. 37-66.

Dekens, F. G.

Derie, F.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Dohlen, K.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Esposito, S.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Franck, J.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Fuertes, J. M.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Gabor, G.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

Gilmozzi, R.

R. Gilmozzi and J. Spyromilio, “The European Extremely Large Telescope (E-ELT),” http://www.eso.org/sci/facilities/eelt/publications.html.

Gonte, F.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Jackson, H. G.

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

Jared, R. C.

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Jin, Z.

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

Jun, X.

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

Karban, R.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Kirkman, D.

Li, Y.

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

Lin, J.

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

Liu, Z.

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

Z. Liu and X. Cui, “The ELT situation in China,” Proc. SPIE 6986, 698606 (2008).
[CrossRef]

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

Llacer, J.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Longlois, M.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

MacMartin, D.

D. MacMartin and G. Chanan, “Control of the California Extremely Large Telescope primary mirror,” Proc. SPIE 4840, 69-80 (2003).
[CrossRef]

MacMartin, D. G.

Mast, T.

Mast, T. S.

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Meng, J. D.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Merrick, T. L.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Michaels, S.

Minor, R. H.

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Montoya, L.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Nelson, J.

Nelson, J. T.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Noethe, L.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Ohara, C.

Orayani, M.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Pinna, E.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Reyes, M.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Salz, P.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Schaefer, B. A.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

Spyromilio, J.

R. Gilmozzi and J. Spyromilio, “The European Extremely Large Telescope (E-ELT),” http://www.eso.org/sci/facilities/eelt/publications.html.

Surdej, I.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Tan, H.

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

Terrett, D.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Troy, M.

Witebsky, C.

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

Yaitskova, N.

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

Yichun, D.

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

Appl. Opt. (4)

Proc. SPIE (7)

Z. Liu, Z. Jin, Y. Li, J. Lin, and H. Tan, “Introduction to the 30 m Ring Interferometric Telescope,” Proc. SPIE 6267, 62672L (2006).
[CrossRef]

Z. Liu and X. Cui, “The ELT situation in China,” Proc. SPIE 6986, 698606 (2008).
[CrossRef]

R. C. Jared, A. A. Arthur, S. Andreae, A. K. Biocca, R. W. Cohen, J. M. Fuertes, J. Franck, G. Gabor, J. Llacer, T. S. Mast, J. D. Meng, T. L. Merrick, R. H. Minor, J. T. Nelson, M. Orayani, P. Salz, B. A. Schaefer, and C. Witebsky, “W. M. Keck Telescope segmented primary mirror active control system,” Proc. SPIE 1236, 996-1008 (1990).
[CrossRef]

N. Yaitskova, F. Gonte, and F. Derie, L. Noethe, I. Surdej, R. Karban, K. Dohlen, M. Longlois, S. Esposito, E. Pinna, M. Reyes, L. Montoya, and D. Terrett, “The active phasing experiment: Part I. Concept and objectives,” Proc. SPIE 6267, 62672Z (2006).
[CrossRef]

D. MacMartin and G. Chanan, “Control of the California Extremely Large Telescope primary mirror,” Proc. SPIE 4840, 69-80 (2003).
[CrossRef]

R. H. Minor, A. A. Arthur, G. Gabor, H. G. Jackson, Jr., R. C. Jared, T. S. Mast, and B. A. Schaefer, “Displacement sensors for the primary mirror of the W. M. Keck Telescope,” Proc. SPIE 1236, 1009-1017 (1990).
[CrossRef]

Z. Liu, D. Yichun, Z. Jin, X. Jun, and J. Lin, “The conceptual design and simulation of 30 m RIT,” Proc. SPIE 7012, 70120E (2008).
[CrossRef]

Other (4)

Y. Dai, “Research on active control of primary mirror of 30 m Ring Interferometric Telescope,” Ph.D. dissertation (Yunnan Astronomical Observatory, Chinese Academy of Sciences, 2008), pp. 37-66.

RIT homepage, http://rit.ynao.ac.cn/.

“Thirty Meter Telescope construction proposal” (2007), http://www.tmt.org/foundation-docs/index.html.

R. Gilmozzi and J. Spyromilio, “The European Extremely Large Telescope (E-ELT),” http://www.eso.org/sci/facilities/eelt/publications.html.

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Figures (14)

Fig. 1
Fig. 1

30 m RIT 3D conceptual structure.

Fig. 2
Fig. 2

RIT with trapezoid-shaped segments. The dots represent the positions of edge sensors.

Fig. 3
Fig. 3

Distribution of three actuators and four edge sensors on a trapezoid segment. X and Y represent the in-plane axes of a segment. a = 975 mm , b = 1045 mm , c = 1000 mm , h = 450 mm , y x = 506 mm , and f = 86 mm . The dots represent the positions of three actuators and the vertical lines represent the positions of the edge sensors.

Fig. 4
Fig. 4

RIT with arrow-shaped segments. The dots represent the positions of edge sensors.

Fig. 5
Fig. 5

Individual error multiplier of active maintenance for trapezoid-segmented RIT using edge sensors and tip detection.

Fig. 6
Fig. 6

Typical modes with a small error multiplier for trapezoid segmented RIT using edge sensors and tip detection: (a) mode 1, (b) mode 3, (c) mode 177, and (d) mode 178.

Fig. 7
Fig. 7

Same as Fig. 6, but for typical modes with a large-error multiplier: (a) mode 179, (b) mode 180, (c) mode 222, (d) mode 251, (e) mode 266, and (f) mode 268.

Fig. 8
Fig. 8

MTFs of trapezoid segmented RIT primary with edge sensors and tip detection.

Fig. 9
Fig. 9

Same as Fig. 8, but for the cases with additional global wavefront detection.

Fig. 10
Fig. 10

MTF of the primary at 550 nm wavelength with edge sensor noise of 1 nm / ( Hz ) 1 / 2 and tip detection noise of 0.004 as / ( Hz ) 1 / 2 . The control mode and control bandwidth are the same as in Fig. 9.

Fig. 11
Fig. 11

Implementation of tip detection.

Fig. 12
Fig. 12

Placement of actuators and edge sensors for an arrow-shaped segment. a = 975 mm , b = 1045 mm , c = 1000 mm , h = 577 mm , f = 86 mm . The dots represent the positions of three actuators and the lines extend the positions of edge sensors. The line connecting actuators 1 and 2 is a perpendicular bisector of side a or side b. When α = 60 ° or 135 ° , h and f are the same as in α = 90 ° .

Fig. 13
Fig. 13

Individual error multipliers of RIT with 60 ° , 90 ° and 135 ° vertex angle segments.

Fig. 14
Fig. 14

Modes with large error for 60 ° vertex angle segment: (a) mode 244, (b) mode 245, (c) mode 267, and (d) mode 269.

Tables (3)

Tables Icon

Table 1 Error Multipliers of the Large-Error Modes and Global Error Multiplier for the Trapezoid Segmented RIT with Edge Sensors and Tip Detection

Tables Icon

Table 2 Error Multipliers of the Large-Error Modes and Global Error Multipliers for Arrow Segmented RIT with Three Candidate Angles

Tables Icon

Table 3 Minimum Size of a Round Mirror Blank for an Arrow-Shaped Segment of Three Candidate Angles

Equations (7)

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Δ y = A Δ x ,
A = U W V T ,
A # = V W 1 U T ,
N i = ( w i 2 / n act ) 1 / 2 ,
N = ( i = 1 n act w i 2 / n act ) 1 / 2 ,
Δ = A # ( ( π / 2 ) f 0 Φ ) 1 / 2 ,
Δ rms = N ( ( π / 2 ) f 0 Φ ) 1 / 2 ,

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