Abstract

This paper discusses questions of how to increase the accuracy of an approximation by Zernike polynomials of the displacements of the points of optical surfaces (OSs) in the direction of the optical axis, associated with the discrimination of displacements of the surface as a rigid whole. It is shown that, when going from displacements of the nodal points of an OS obtained by the finite-element method to their approximation by Zernike polynomials, it is expedient to discriminate beforehand that part of the displacements associated with the components of the displacement of the surface as a rigid whole in a direction perpendicular to the optical axis, and, in the case of nonaxisymmetric surfaces, also in the direction of rotation around the optical axis. Examples are given of the implementation of the proposed procedure.

© 2014 Optical Society of America

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  1. V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].
  2. Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].
  3. A. M.  Savitskiĭ, “How the thermal regime affects the structural characteristics of a space telescope,” Opt. Zh. 76, No. 10, 89 (2009) [J. Opt. Technol. 76, 662 (2009)].
  4. K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
    [CrossRef]
  5. P. A.  Coronato, R. C.  Juergens, “Transferring FEA results to optics code with Zernikes: a review of techniques,” Proc. SPIE 5176, 1 (2003).
    [CrossRef]
  6. R. C.  Juergens, P. A.  Coronato, “Improved method for transfer of FEA results to optical codes,” Proc. SPIE 5174, 105 (2003).
    [CrossRef]
  7. K. B.  Doyle, V. L.  Genberg, G. J.  Michels, Integrated Optomechanical Analysis (SPIE, Bellingham, Wash., 2012).
  8. A. A.  Kosmodem’yanskiĭ, Course of Theoretical Mechanics, vol. 1 (Prosveshchenie, Moscow, 1965).

2009 (1)

A. M.  Savitskiĭ, “How the thermal regime affects the structural characteristics of a space telescope,” Opt. Zh. 76, No. 10, 89 (2009) [J. Opt. Technol. 76, 662 (2009)].

2005 (1)

K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
[CrossRef]

2003 (2)

P. A.  Coronato, R. C.  Juergens, “Transferring FEA results to optics code with Zernikes: a review of techniques,” Proc. SPIE 5176, 1 (2003).
[CrossRef]

R. C.  Juergens, P. A.  Coronato, “Improved method for transfer of FEA results to optical codes,” Proc. SPIE 5174, 105 (2003).
[CrossRef]

2002 (1)

V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].

1996 (1)

Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].

Bisson, G.

K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
[CrossRef]

Coronato, P. A.

P. A.  Coronato, R. C.  Juergens, “Transferring FEA results to optics code with Zernikes: a review of techniques,” Proc. SPIE 5176, 1 (2003).
[CrossRef]

R. C.  Juergens, P. A.  Coronato, “Improved method for transfer of FEA results to optical codes,” Proc. SPIE 5174, 105 (2003).
[CrossRef]

Danilov, V. A.

V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].

Doyle, K.

K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
[CrossRef]

Doyle, K. B.

K. B.  Doyle, V. L.  Genberg, G. J.  Michels, Integrated Optomechanical Analysis (SPIE, Bellingham, Wash., 2012).

Genberg, V.

K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
[CrossRef]

Genberg, V. L.

K. B.  Doyle, V. L.  Genberg, G. J.  Michels, Integrated Optomechanical Analysis (SPIE, Bellingham, Wash., 2012).

Gogolev, Yu. A.

Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].

Juergens, R. C.

P. A.  Coronato, R. C.  Juergens, “Transferring FEA results to optics code with Zernikes: a review of techniques,” Proc. SPIE 5176, 1 (2003).
[CrossRef]

R. C.  Juergens, P. A.  Coronato, “Improved method for transfer of FEA results to optical codes,” Proc. SPIE 5174, 105 (2003).
[CrossRef]

Kosmodem’yanskii, A. A.

A. A.  Kosmodem’yanskiĭ, Course of Theoretical Mechanics, vol. 1 (Prosveshchenie, Moscow, 1965).

Lysenko, A. I.

V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].

Malamed, E. R.

V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].

Michels, G.

K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
[CrossRef]

Michels, G. J.

K. B.  Doyle, V. L.  Genberg, G. J.  Michels, Integrated Optomechanical Analysis (SPIE, Bellingham, Wash., 2012).

Pozhinskaya, I. I.

Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].

Savitskii, A. M.

A. M.  Savitskiĭ, “How the thermal regime affects the structural characteristics of a space telescope,” Opt. Zh. 76, No. 10, 89 (2009) [J. Opt. Technol. 76, 662 (2009)].

Sobolev, K. Yu.

Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].

Sokol’skii, M. N.

V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].

Zverev, V. A.

Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].

Opt. Zh. (3)

V. A.  Danilov, A. I.  Lysenko, E. R.  Malamed, M. N.  Sokol’skiĭ, “Service systems of space telescopes,” Opt. Zh. 69, No. 9, 36 (2002) [J. Opt. Technol. 69, 632 (2002)].

Yu. A.  Gogolev, V. A.  Zverev, I. I.  Pozhinskaya, K. Yu.  Sobolev, “An analysis of the main problems of creating the optics of large telescopes,” Opt. Zh. No. 4, 16 (1996) [J. Opt. Technol. 63, 263 (1996)].

A. M.  Savitskiĭ, “How the thermal regime affects the structural characteristics of a space telescope,” Opt. Zh. 76, No. 10, 89 (2009) [J. Opt. Technol. 76, 662 (2009)].

Proc. SPIE (3)

K.  Doyle, V.  Genberg, G.  Michels, G.  Bisson, “Optical modeling of finite-element surface displacements using commercial software,” Proc. SPIE 5867, 58670I (2005).
[CrossRef]

P. A.  Coronato, R. C.  Juergens, “Transferring FEA results to optics code with Zernikes: a review of techniques,” Proc. SPIE 5176, 1 (2003).
[CrossRef]

R. C.  Juergens, P. A.  Coronato, “Improved method for transfer of FEA results to optical codes,” Proc. SPIE 5174, 105 (2003).
[CrossRef]

Other (2)

K. B.  Doyle, V. L.  Genberg, G. J.  Michels, Integrated Optomechanical Analysis (SPIE, Bellingham, Wash., 2012).

A. A.  Kosmodem’yanskiĭ, Course of Theoretical Mechanics, vol. 1 (Prosveshchenie, Moscow, 1965).

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