Abstract

We proposed a valid method with a novel computer-generated hologram (CGH) to test large-aperture convex aspheric. The CGH consisted of two zones with different amounts of power: the central zone has a larger amount of power than the marginal zone. Compared with other CGHs used for convex aspheric testing [SPIE.2576.258 (1995)], it could overcome the difficulty of measuring the central region of the convex surface under test, while relaxing the requirement for the illumination optics and CGH of the test system. We have designed an optical test system with the novel CGH to test a 150 mm-diameter convex surface with full aperture by using optical design software Zemax. The simulated result verified the efficiency of the novel CGH. It is believed that this kind of CGHs can be used to measure any large and deep convex surface with full aperture.

© 2007 Optical Society of America

Full Article  |  PDF Article
Related Articles
New Developments in Interferometry

Harry D. Polster, Jose Pastor, Roderic M. Scott, Robert Crane, P. H. Langenbeck, Robert Pilston, and George Steinberg
Appl. Opt. 8(3) 521-556 (1969)

Using Computer Generated Holograms to Test Aspheric Wavefronts

J. C. Wyant and V. P. Bennett
Appl. Opt. 11(12) 2833-2839 (1972)

Using curved hologram to test large-aperture convex surface

Hua Liu, Zhenwu Lu, Fengyou Li, Yongjun Xie, Shanshan Kan, and Shurong Wang
Opt. Express 12(14) 3251-3256 (2004)

References

  • View by:
  • |
  • |
  • |

  1. J. C. Wyant, “Interferometric testing of aspheric surfaces,” SPIE 816,  19–39 (1987).
  2. W. Silvertooth, “A Modification of th Hindle Test for Cassegrain Secondaries,” J. Opt.Soc Am 30,140 (1940).
  3. W. E. James and M. D. Waterworth, “A Method for testing aspheric surfaces,” Opt. Acta 12,223–227 (1965)
    [Crossref]
  4. J. H. Burge, Applications of computer-generated holograms for interferometric measurement of large aspheric optics, SPIE.2576, 258–269 (1995).
    [Crossref]
  5. J. H. Burge and D. S. Anderson, “Full aperture interferometeric test of convex secondary mirrors using holographic test plates,” SPIE 2199,181–192 (1994).
    [Crossref]
  6. J. H. Burge, “Fizeau interferometery for large convex surface,” SPIE 2536,127–137 (1995).
    [Crossref]
  7. J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
    [Crossref]
  8. H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, and Q. Shun, “Full-aperture measurement of convex surfaces in interferometric test using holographic test plate”, Opt. Commu 241,231–236 (2004).
    [Crossref]
  9. Y. J. Xie, Z. W. Lu, F. Y. Li, J. L. Zhao, and Z. C. Weng, “Lithographic fabrication of large diffractive optical elements on a concave lens surface,” Opt. Express 10,1043–1047 (2002).
    [PubMed]
  10. Y. J. Xie, Z. W. Lu, and F. Y. Li, “Fabrication of large diffractive optical elements in thick film on a concave lens surface,” Opt. Express 11,992–995 (2003).
    [Crossref] [PubMed]
  11. Y. J. Xie, Z. W. Lu, and F. Y. Li, “Lithographic fabrication of large curved hologram by laser writer,” Opt. Express 12,1180–1184 (2004).
    [Crossref]
  12. H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, S. S. Kan, and S. R. Wang, “Using curved hologram to test large-aperture convex surface,” Opt. Express 12,3251–3255 (2004).
    [Crossref] [PubMed]
  13. R. Mercier, “Holographic testing of aspherical surfaces,” SPIE 163,208–214 (1977).

2004 (3)

H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, and Q. Shun, “Full-aperture measurement of convex surfaces in interferometric test using holographic test plate”, Opt. Commu 241,231–236 (2004).
[Crossref]

Y. J. Xie, Z. W. Lu, and F. Y. Li, “Lithographic fabrication of large curved hologram by laser writer,” Opt. Express 12,1180–1184 (2004).
[Crossref]

H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, S. S. Kan, and S. R. Wang, “Using curved hologram to test large-aperture convex surface,” Opt. Express 12,3251–3255 (2004).
[Crossref] [PubMed]

2003 (1)

2002 (1)

1998 (1)

J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
[Crossref]

1995 (1)

J. H. Burge, “Fizeau interferometery for large convex surface,” SPIE 2536,127–137 (1995).
[Crossref]

1994 (1)

J. H. Burge and D. S. Anderson, “Full aperture interferometeric test of convex secondary mirrors using holographic test plates,” SPIE 2199,181–192 (1994).
[Crossref]

1987 (1)

J. C. Wyant, “Interferometric testing of aspheric surfaces,” SPIE 816,  19–39 (1987).

1977 (1)

R. Mercier, “Holographic testing of aspherical surfaces,” SPIE 163,208–214 (1977).

1965 (1)

W. E. James and M. D. Waterworth, “A Method for testing aspheric surfaces,” Opt. Acta 12,223–227 (1965)
[Crossref]

1940 (1)

W. Silvertooth, “A Modification of th Hindle Test for Cassegrain Secondaries,” J. Opt.Soc Am 30,140 (1940).

Anderson, D. S.

J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
[Crossref]

J. H. Burge and D. S. Anderson, “Full aperture interferometeric test of convex secondary mirrors using holographic test plates,” SPIE 2199,181–192 (1994).
[Crossref]

Burge, J. H.

J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
[Crossref]

J. H. Burge, “Fizeau interferometery for large convex surface,” SPIE 2536,127–137 (1995).
[Crossref]

J. H. Burge and D. S. Anderson, “Full aperture interferometeric test of convex secondary mirrors using holographic test plates,” SPIE 2199,181–192 (1994).
[Crossref]

J. H. Burge, Applications of computer-generated holograms for interferometric measurement of large aspheric optics, SPIE.2576, 258–269 (1995).
[Crossref]

James, W. E.

W. E. James and M. D. Waterworth, “A Method for testing aspheric surfaces,” Opt. Acta 12,223–227 (1965)
[Crossref]

Kan, S. S.

Li, F. Y.

Liu, H

H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, S. S. Kan, and S. R. Wang, “Using curved hologram to test large-aperture convex surface,” Opt. Express 12,3251–3255 (2004).
[Crossref] [PubMed]

H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, and Q. Shun, “Full-aperture measurement of convex surfaces in interferometric test using holographic test plate”, Opt. Commu 241,231–236 (2004).
[Crossref]

Lu, Z. W.

Mercier, R.

R. Mercier, “Holographic testing of aspherical surfaces,” SPIE 163,208–214 (1977).

Milster, T. D.

J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
[Crossref]

Shun, Q.

H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, and Q. Shun, “Full-aperture measurement of convex surfaces in interferometric test using holographic test plate”, Opt. Commu 241,231–236 (2004).
[Crossref]

Silvertooth, W.

W. Silvertooth, “A Modification of th Hindle Test for Cassegrain Secondaries,” J. Opt.Soc Am 30,140 (1940).

Vernold, C. L.

J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
[Crossref]

Wang, S. R.

Waterworth, M. D.

W. E. James and M. D. Waterworth, “A Method for testing aspheric surfaces,” Opt. Acta 12,223–227 (1965)
[Crossref]

Weng, Z. C.

Wyant, J. C.

J. C. Wyant, “Interferometric testing of aspheric surfaces,” SPIE 816,  19–39 (1987).

Xie, Y. J.

Zhao, J. L.

J. Opt.Soc Am (1)

W. Silvertooth, “A Modification of th Hindle Test for Cassegrain Secondaries,” J. Opt.Soc Am 30,140 (1940).

Opt. Acta (1)

W. E. James and M. D. Waterworth, “A Method for testing aspheric surfaces,” Opt. Acta 12,223–227 (1965)
[Crossref]

Opt. Commu (1)

H Liu, Z. W. Lu, F. Y. Li, Y. J. Xie, and Q. Shun, “Full-aperture measurement of convex surfaces in interferometric test using holographic test plate”, Opt. Commu 241,231–236 (2004).
[Crossref]

Opt. Express (4)

SPIE (4)

R. Mercier, “Holographic testing of aspherical surfaces,” SPIE 163,208–214 (1977).

J. H. Burge and D. S. Anderson, “Full aperture interferometeric test of convex secondary mirrors using holographic test plates,” SPIE 2199,181–192 (1994).
[Crossref]

J. H. Burge, “Fizeau interferometery for large convex surface,” SPIE 2536,127–137 (1995).
[Crossref]

J. H. Burge, D. S. Anderson, T. D. Milster, and C. L. Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE 2199,193–198 (1998).
[Crossref]

SPIE 816 (1)

J. C. Wyant, “Interferometric testing of aspheric surfaces,” SPIE 816,  19–39 (1987).

Other (1)

J. H. Burge, Applications of computer-generated holograms for interferometric measurement of large aspheric optics, SPIE.2576, 258–269 (1995).
[Crossref]

Cited By

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

Alert me when this article is cited.


Figures (4)

Fig. 1.
Fig. 1.

Layout for measuring convex surface with diffractive optical element.

Fig. 2.
Fig. 2.

(a). Slope error in illumination system (b) Wavefront slope of the adjacent order (c) Wavefront slope of the adjacent order inside the radius 13 mm.

Fig. 3.
Fig. 3.

Line frequency vs Aperture of the two-zone hologram.

Fig. 4.
Fig. 4.

Interferogram corresponding to (a) the central zone of the surface under test (b) the marginal zone of the surface under test.

Equations (11)

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

v c max { v ill ( r ) }
v ( r ) = v CGH ( r ) + v ill ( r )
for all r r 1 , v ( r ) v c
ϕ CGH ( r ) = 2 [ ϕ out ( r ) ϕ in ( r ) ]
= 2 [ ϕ sph ( r ) ϕ asph ( r ) ]
= 2 [ ( a sph 1 r 2 + a sph 2 r 4 + a sph 3 r 6 + ) ( a asph 1 r 2 + a asph 2 r 4 + a asph 3 r 6 + ) ]
= 2 ( a sph 1 a asph 1 ) r 2 + 2 ( a sph 2 a asph 2 ) r 4 + 2 ( a sph 3 a asph 3 ) r 6 +
a asph 1 = 1 2 ( 1 + k ) R asph 1
a sph 1 = 1 2 R sph
= 1 2 ( 1 + k ) ( R asph + d )
a CGH = 1 R aph 1 ( k + 1 ) ( R asph + d )

Metrics