Abstract

This paper presents expressions that make it possible to calculate the third- and fifth-order aberrations of a volume holographic optical element (HOE) recorded by means of a cylindrical reference wave and a spherical object wave. It is shown that the aberration coefficients of this volume element can be represented as a sum of the monochromatic and chromatic aberration coefficients, as well as the aberration coefficients that result from the photoinduced, thermally induced, and strain variations of its refractive index and dimensions. It is pointed out that the selectivity of a volume HOE reduces its aberrations by comparison with the corresponding aberrations of a thin HOE.

© 2013 Optical Society of America

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  1. Yu. N.  Denisyuk, “Imaging the optical properties of an object in the wave field of the radiation scattered by it,” Opt. Spektrosk. 15, 552 (1963) [Opt. Spectrosc. (USSR) 15, 279 (1963)].
  2. M. R. B.  Forshaw, “The imaging properties and aberrations of thick transmission holograms,” Opt. Acta 20, 669 (1973).
    [CrossRef]
  3. M. A.  Gan, Theory and Methods of Calculating Holographic and Kinoform Optical Elements (GOI, Leningrad, 1984).
  4. I. A.  Mikhaĭlov, “Geometrical analysis of thick holograms,” Opt. Spektrosk. 58, 612 (1985) [Opt. Spectrosc. (USSR) 58, 374 (1985)].
  5. Yu. Ts.  Batomunkuev, E. A.  Sander, S. A.  Shoĭdin, “The aberrations of volume holograms,” in Abstracts of the All-Union Seminar on Automation of the Design of Optical Systems (October 26–28, 1988, Moscow), 1989, pp. 101–112.
  6. S. N.  Koreshev, G. B.  Semenov, “Forming astigmatic wave fronts by holography,” Opt. Spektrosk. 48, 968 (1980) [Opt. Spectrosc. (USSR) 48, 531 (1980)].
  7. Yu. Ts.  Batomunkuev, “Theory of the calculation of chromatic aberrations of an x-ray holographic axial element,” in Collection of Materials of the Seventh International Scientific Congress GEO-Siberia-2011, Novosibirsk, 2011, vol. 5, part 2, pp. 154–160.
  8. J. N.  Latta, “Fifth-order hologram aberrations,” Appl. Opt. 10, 666 (1971).
    [CrossRef]
  9. P. S.  Mehta, “Fifth-order aberrations in in-line holograms,” Opt. Acta 21, 1005 (1974).
    [CrossRef]
  10. S. T.  Bobrov, G. I.  Greĭsukh, Yu. G.  Turkevich, The Optics of Diffraction Elements and Systems (Mashinostroenie, Leningrad, 1986).
  11. Yu. Ts.  Batomunkuev, “Mirror-lens model of volume holographic optical elements,” Opt. Zh. 76, No. 7, 48 (2009) [J. Opt. Technol. 76, 413 (2009)].
  12. S. N.  Koreshev, “Holographic interferometer for noncontact monitoring of cylindrical surfaces,” Opt. Spektrosk. 56, 356 (1984) [Opt. Spectrosc. (USSR) 56, 218 (1984)].
  13. R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].
  14. Yu. Ts.  Batomunkuev, N. A.  Meshcheryakov, “A holographic level,” Vestnik SGGA No. 10, 177 (2005).
  15. V. A.  Soĭfer, Diffraction Computer Optics (Fizmatlit, Moscow, 2007).

2009

Yu. Ts.  Batomunkuev, “Mirror-lens model of volume holographic optical elements,” Opt. Zh. 76, No. 7, 48 (2009) [J. Opt. Technol. 76, 413 (2009)].

2005

Yu. Ts.  Batomunkuev, N. A.  Meshcheryakov, “A holographic level,” Vestnik SGGA No. 10, 177 (2005).

1994

R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].

1985

I. A.  Mikhaĭlov, “Geometrical analysis of thick holograms,” Opt. Spektrosk. 58, 612 (1985) [Opt. Spectrosc. (USSR) 58, 374 (1985)].

1984

S. N.  Koreshev, “Holographic interferometer for noncontact monitoring of cylindrical surfaces,” Opt. Spektrosk. 56, 356 (1984) [Opt. Spectrosc. (USSR) 56, 218 (1984)].

1980

S. N.  Koreshev, G. B.  Semenov, “Forming astigmatic wave fronts by holography,” Opt. Spektrosk. 48, 968 (1980) [Opt. Spectrosc. (USSR) 48, 531 (1980)].

1974

P. S.  Mehta, “Fifth-order aberrations in in-line holograms,” Opt. Acta 21, 1005 (1974).
[CrossRef]

1973

M. R. B.  Forshaw, “The imaging properties and aberrations of thick transmission holograms,” Opt. Acta 20, 669 (1973).
[CrossRef]

1971

1963

Yu. N.  Denisyuk, “Imaging the optical properties of an object in the wave field of the radiation scattered by it,” Opt. Spektrosk. 15, 552 (1963) [Opt. Spectrosc. (USSR) 15, 279 (1963)].

Batomunkuev, Yu. Ts.

Yu. Ts.  Batomunkuev, “Mirror-lens model of volume holographic optical elements,” Opt. Zh. 76, No. 7, 48 (2009) [J. Opt. Technol. 76, 413 (2009)].

Yu. Ts.  Batomunkuev, N. A.  Meshcheryakov, “A holographic level,” Vestnik SGGA No. 10, 177 (2005).

Yu. Ts.  Batomunkuev, E. A.  Sander, S. A.  Shoĭdin, “The aberrations of volume holograms,” in Abstracts of the All-Union Seminar on Automation of the Design of Optical Systems (October 26–28, 1988, Moscow), 1989, pp. 101–112.

Yu. Ts.  Batomunkuev, “Theory of the calculation of chromatic aberrations of an x-ray holographic axial element,” in Collection of Materials of the Seventh International Scientific Congress GEO-Siberia-2011, Novosibirsk, 2011, vol. 5, part 2, pp. 154–160.

Bobrov, S. T.

S. T.  Bobrov, G. I.  Greĭsukh, Yu. G.  Turkevich, The Optics of Diffraction Elements and Systems (Mashinostroenie, Leningrad, 1986).

Denisyuk, Yu. N.

Yu. N.  Denisyuk, “Imaging the optical properties of an object in the wave field of the radiation scattered by it,” Opt. Spektrosk. 15, 552 (1963) [Opt. Spectrosc. (USSR) 15, 279 (1963)].

Forshaw, M. R. B.

M. R. B.  Forshaw, “The imaging properties and aberrations of thick transmission holograms,” Opt. Acta 20, 669 (1973).
[CrossRef]

Gan, M. A.

M. A.  Gan, Theory and Methods of Calculating Holographic and Kinoform Optical Elements (GOI, Leningrad, 1984).

Gerke, R. R.

R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].

Greisukh, G. I.

S. T.  Bobrov, G. I.  Greĭsukh, Yu. G.  Turkevich, The Optics of Diffraction Elements and Systems (Mashinostroenie, Leningrad, 1986).

Koreshev, S. N.

R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].

S. N.  Koreshev, “Holographic interferometer for noncontact monitoring of cylindrical surfaces,” Opt. Spektrosk. 56, 356 (1984) [Opt. Spectrosc. (USSR) 56, 218 (1984)].

S. N.  Koreshev, G. B.  Semenov, “Forming astigmatic wave fronts by holography,” Opt. Spektrosk. 48, 968 (1980) [Opt. Spectrosc. (USSR) 48, 531 (1980)].

Latta, J. N.

Mehta, P. S.

P. S.  Mehta, “Fifth-order aberrations in in-line holograms,” Opt. Acta 21, 1005 (1974).
[CrossRef]

Meshcheryakov, N. A.

Yu. Ts.  Batomunkuev, N. A.  Meshcheryakov, “A holographic level,” Vestnik SGGA No. 10, 177 (2005).

Mikhailov, I. A.

I. A.  Mikhaĭlov, “Geometrical analysis of thick holograms,” Opt. Spektrosk. 58, 612 (1985) [Opt. Spectrosc. (USSR) 58, 374 (1985)].

Sander, E. A.

Yu. Ts.  Batomunkuev, E. A.  Sander, S. A.  Shoĭdin, “The aberrations of volume holograms,” in Abstracts of the All-Union Seminar on Automation of the Design of Optical Systems (October 26–28, 1988, Moscow), 1989, pp. 101–112.

Semenov, G. B.

R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].

S. N.  Koreshev, G. B.  Semenov, “Forming astigmatic wave fronts by holography,” Opt. Spektrosk. 48, 968 (1980) [Opt. Spectrosc. (USSR) 48, 531 (1980)].

Shoidin, S. A.

Yu. Ts.  Batomunkuev, E. A.  Sander, S. A.  Shoĭdin, “The aberrations of volume holograms,” in Abstracts of the All-Union Seminar on Automation of the Design of Optical Systems (October 26–28, 1988, Moscow), 1989, pp. 101–112.

Smirnov, V. V.

R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].

Soifer, V. A.

V. A.  Soĭfer, Diffraction Computer Optics (Fizmatlit, Moscow, 2007).

Turkevich, Yu. G.

S. T.  Bobrov, G. I.  Greĭsukh, Yu. G.  Turkevich, The Optics of Diffraction Elements and Systems (Mashinostroenie, Leningrad, 1986).

Appl. Opt.

Opt. Acta

M. R. B.  Forshaw, “The imaging properties and aberrations of thick transmission holograms,” Opt. Acta 20, 669 (1973).
[CrossRef]

P. S.  Mehta, “Fifth-order aberrations in in-line holograms,” Opt. Acta 21, 1005 (1974).
[CrossRef]

Opt. Spektrosk.

S. N.  Koreshev, G. B.  Semenov, “Forming astigmatic wave fronts by holography,” Opt. Spektrosk. 48, 968 (1980) [Opt. Spectrosc. (USSR) 48, 531 (1980)].

I. A.  Mikhaĭlov, “Geometrical analysis of thick holograms,” Opt. Spektrosk. 58, 612 (1985) [Opt. Spectrosc. (USSR) 58, 374 (1985)].

Yu. N.  Denisyuk, “Imaging the optical properties of an object in the wave field of the radiation scattered by it,” Opt. Spektrosk. 15, 552 (1963) [Opt. Spectrosc. (USSR) 15, 279 (1963)].

S. N.  Koreshev, “Holographic interferometer for noncontact monitoring of cylindrical surfaces,” Opt. Spektrosk. 56, 356 (1984) [Opt. Spectrosc. (USSR) 56, 218 (1984)].

Opt. Zh.

R. R.  Gerke, S. N.  Koreshev, G. B.  Semenov, V. V.  Smirnov, “Holographic optics at S. I. Vavilov state optical institute,” Opt. Zh. 61, No. 1, 26 (1994) [J. Opt. Technol. 61, 20 (1994)].

Yu. Ts.  Batomunkuev, “Mirror-lens model of volume holographic optical elements,” Opt. Zh. 76, No. 7, 48 (2009) [J. Opt. Technol. 76, 413 (2009)].

Vestnik SGGA

Yu. Ts.  Batomunkuev, N. A.  Meshcheryakov, “A holographic level,” Vestnik SGGA No. 10, 177 (2005).

Other

V. A.  Soĭfer, Diffraction Computer Optics (Fizmatlit, Moscow, 2007).

Yu. Ts.  Batomunkuev, E. A.  Sander, S. A.  Shoĭdin, “The aberrations of volume holograms,” in Abstracts of the All-Union Seminar on Automation of the Design of Optical Systems (October 26–28, 1988, Moscow), 1989, pp. 101–112.

M. A.  Gan, Theory and Methods of Calculating Holographic and Kinoform Optical Elements (GOI, Leningrad, 1984).

Yu. Ts.  Batomunkuev, “Theory of the calculation of chromatic aberrations of an x-ray holographic axial element,” in Collection of Materials of the Seventh International Scientific Congress GEO-Siberia-2011, Novosibirsk, 2011, vol. 5, part 2, pp. 154–160.

S. T.  Bobrov, G. I.  Greĭsukh, Yu. G.  Turkevich, The Optics of Diffraction Elements and Systems (Mashinostroenie, Leningrad, 1986).

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