Abstract

A highly diverging laser beam is used to measure angular and spectral selectivities and grating vector direction for reflection-type holographic optical elements (HOE’s). The intensity distribution of the beam transmitted from the HOE’s reveals dark, ring-shaped patterns. Since these ring patterns are formed as a result of the beam diffracted by the HOE’s, the thicknesses and the diameters of the ring patterns convey information on both the angular and the spectral selectivities of the HOE’s. In addition the deviation of the ring centers relative to the center of the intensity distribution reveals the grating vector direction. Determination of values related to the ring patterns permits highly accurate measurement of HOE characteristics, such as the upper limit of the diffraction wavelength, the angular and the spectral selectivities, and the grating vector direction. This is proved experimentally.

© 1998 Optical Society of America

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References

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  1. J. M. Tedesco, “Holographic laser-protective filters and eyewear,” Opt. Eng. 28, 609–615 (1989).
  2. W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
    [CrossRef]
  3. B. J. Chang “Dichromated gelatin holograms and their application,” Opt. Eng. 19, 642–648 (1980).
    [CrossRef]
  4. R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).
  5. S. H. Stevenson, M. L. Armstrong, P. J. O’Connor, D. F. Tipton, “Advances in photopolymer films for display holography,” in Fifth International Symposium of Display Holography, T. H. Jeong, ed., Proc. SPIE2333, 60–70 (1994).
    [CrossRef]
  6. V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
    [CrossRef]
  7. W. J. Cambogy, W. A. Gerstadt, S. R. Mackara, A. M. Weber, “Holographic transmission elements using improved photopolymer films,” in Computer and Optically Generated Holographic Optics, I. Cindrich, S. H. Lee, eds. Proc. SPIE1555, 256–267 (1991).
    [CrossRef]
  8. J.-Y. Son, V. G. Komar, Y. J. Choi, “The characteristics of reflection type full color holographic screen,” Proceedings of the Workshop on 3D Display Technologies and the Human Factor, in The Third International Display Workshops (IDW’96), (Society for Information Display Japan, Tokyo, 1996), pp. 509–512.
  9. H. Kogelnik, “Coupled wave theory for thick hologram grating,” Bell Syst. Tech. J. 48, 2909–2947 (1969).

1994

R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).

1989

J. M. Tedesco, “Holographic laser-protective filters and eyewear,” Opt. Eng. 28, 609–615 (1989).

1980

B. J. Chang “Dichromated gelatin holograms and their application,” Opt. Eng. 19, 642–648 (1980).
[CrossRef]

1969

H. Kogelnik, “Coupled wave theory for thick hologram grating,” Bell Syst. Tech. J. 48, 2909–2947 (1969).

Armstrong, M. L.

S. H. Stevenson, M. L. Armstrong, P. J. O’Connor, D. F. Tipton, “Advances in photopolymer films for display holography,” in Fifth International Symposium of Display Holography, T. H. Jeong, ed., Proc. SPIE2333, 60–70 (1994).
[CrossRef]

Cambogy, W. J.

W. J. Cambogy, W. A. Gerstadt, S. R. Mackara, A. M. Weber, “Holographic transmission elements using improved photopolymer films,” in Computer and Optically Generated Holographic Optics, I. Cindrich, S. H. Lee, eds. Proc. SPIE1555, 256–267 (1991).
[CrossRef]

Chang, B. J.

B. J. Chang “Dichromated gelatin holograms and their application,” Opt. Eng. 19, 642–648 (1980).
[CrossRef]

Choi, Y. J.

J.-Y. Son, V. G. Komar, Y. J. Choi, “The characteristics of reflection type full color holographic screen,” Proceedings of the Workshop on 3D Display Technologies and the Human Factor, in The Third International Display Workshops (IDW’96), (Society for Information Display Japan, Tokyo, 1996), pp. 509–512.

Choi, Y.-J.

V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
[CrossRef]

Duzick, T.

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

Gambogi, W.

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

Gerstadt, W. A.

W. J. Cambogy, W. A. Gerstadt, S. R. Mackara, A. M. Weber, “Holographic transmission elements using improved photopolymer films,” in Computer and Optically Generated Holographic Optics, I. Cindrich, S. H. Lee, eds. Proc. SPIE1555, 256–267 (1991).
[CrossRef]

Hamzavy, B.

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

Herke, R. R.

R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).

Jeon, H.-W.

V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
[CrossRef]

Kelly, J.

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

Kogelnik, H.

H. Kogelnik, “Coupled wave theory for thick hologram grating,” Bell Syst. Tech. J. 48, 2909–2947 (1969).

Komar, V. G.

J.-Y. Son, V. G. Komar, Y. J. Choi, “The characteristics of reflection type full color holographic screen,” Proceedings of the Workshop on 3D Display Technologies and the Human Factor, in The Third International Display Workshops (IDW’96), (Society for Information Display Japan, Tokyo, 1996), pp. 509–512.

Koreshev, S. N.

R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).

Lee, H.-S.

V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
[CrossRef]

Mackara, S.

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

Mackara, S. R.

W. J. Cambogy, W. A. Gerstadt, S. R. Mackara, A. M. Weber, “Holographic transmission elements using improved photopolymer films,” in Computer and Optically Generated Holographic Optics, I. Cindrich, S. H. Lee, eds. Proc. SPIE1555, 256–267 (1991).
[CrossRef]

O’Connor, P. J.

S. H. Stevenson, M. L. Armstrong, P. J. O’Connor, D. F. Tipton, “Advances in photopolymer films for display holography,” in Fifth International Symposium of Display Holography, T. H. Jeong, ed., Proc. SPIE2333, 60–70 (1994).
[CrossRef]

Semenov, G. B.

R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).

Smirnov, V. V.

R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).

V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
[CrossRef]

Son, J.-Y.

V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
[CrossRef]

J.-Y. Son, V. G. Komar, Y. J. Choi, “The characteristics of reflection type full color holographic screen,” Proceedings of the Workshop on 3D Display Technologies and the Human Factor, in The Third International Display Workshops (IDW’96), (Society for Information Display Japan, Tokyo, 1996), pp. 509–512.

Steijn, K.

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

Stevenson, S. H.

S. H. Stevenson, M. L. Armstrong, P. J. O’Connor, D. F. Tipton, “Advances in photopolymer films for display holography,” in Fifth International Symposium of Display Holography, T. H. Jeong, ed., Proc. SPIE2333, 60–70 (1994).
[CrossRef]

Tedesco, J. M.

J. M. Tedesco, “Holographic laser-protective filters and eyewear,” Opt. Eng. 28, 609–615 (1989).

Tipton, D. F.

S. H. Stevenson, M. L. Armstrong, P. J. O’Connor, D. F. Tipton, “Advances in photopolymer films for display holography,” in Fifth International Symposium of Display Holography, T. H. Jeong, ed., Proc. SPIE2333, 60–70 (1994).
[CrossRef]

Weber, A. M.

W. J. Cambogy, W. A. Gerstadt, S. R. Mackara, A. M. Weber, “Holographic transmission elements using improved photopolymer films,” in Computer and Optically Generated Holographic Optics, I. Cindrich, S. H. Lee, eds. Proc. SPIE1555, 256–267 (1991).
[CrossRef]

Bell Syst. Tech. J.

H. Kogelnik, “Coupled wave theory for thick hologram grating,” Bell Syst. Tech. J. 48, 2909–2947 (1969).

J. Opt. Technol.

R. R. Herke, S. N. Koreshev, G. B. Semenov, V. V. Smirnov, “Holographic optics in the state optical institute,” J. Opt. Technol. 1, 26–39 (1994).

Opt. Eng.

B. J. Chang “Dichromated gelatin holograms and their application,” Opt. Eng. 19, 642–648 (1980).
[CrossRef]

J. M. Tedesco, “Holographic laser-protective filters and eyewear,” Opt. Eng. 28, 609–615 (1989).

Other

W. Gambogi, K. Steijn, S. Mackara, T. Duzick, B. Hamzavy, J. Kelly, “HOE imaging in DuPont holographic photopolymers,” in Diffractive and Holographic Optics Technology, I. Cindrich, S. H. Lee, eds., Proc. SPIE2152, 282–293 (1994).
[CrossRef]

S. H. Stevenson, M. L. Armstrong, P. J. O’Connor, D. F. Tipton, “Advances in photopolymer films for display holography,” in Fifth International Symposium of Display Holography, T. H. Jeong, ed., Proc. SPIE2333, 60–70 (1994).
[CrossRef]

V. V. Smirnov, J.-Y. Son, H.-W. Jeon, H.-S. Lee, Y.-J. Choi, “A full color reflection type holographic screen,” in Practical Holography XII, S. A. Benton, ed., Proc. SPIE3293, 175–182 (1998).
[CrossRef]

W. J. Cambogy, W. A. Gerstadt, S. R. Mackara, A. M. Weber, “Holographic transmission elements using improved photopolymer films,” in Computer and Optically Generated Holographic Optics, I. Cindrich, S. H. Lee, eds. Proc. SPIE1555, 256–267 (1991).
[CrossRef]

J.-Y. Son, V. G. Komar, Y. J. Choi, “The characteristics of reflection type full color holographic screen,” Proceedings of the Workshop on 3D Display Technologies and the Human Factor, in The Third International Display Workshops (IDW’96), (Society for Information Display Japan, Tokyo, 1996), pp. 509–512.

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Figures (6)

Fig. 1
Fig. 1

Optical scheme for testing a slanted-type HOE. In the case considered the grating vector and the normal vector are in the same plane.

Fig. 2
Fig. 2

Optical scheme of an arrangement with a glass diffuser.

Fig. 3
Fig. 3

Dark ring patterns from a reflection-type HOE with unslanted fringes for various input laser beam wavelengths.

Fig. 4
Fig. 4

Dark ring pattern from a HOE with slanted fringes.

Fig. 5
Fig. 5

Inner and outer boundaries of the dark ring pattern of Fig. 4 on an angular scale. Each circle is drawn with three data points in each boundary.

Fig. 6
Fig. 6

Dark ring pattern from a HOE with four overlayed fringe systems.

Tables (1)

Tables Icon

Table 1 HOE Parameter Values Calculated from the Dark Rings of Fig. 3

Equations (8)

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

τ 1   or   2 = P Δ θ 1   or   2 cos 2   θ 1   or   2 ,
θ 1   or   2 = sin - 1 1 n sin   θ 1   or   2 ,
tan   θ 1   or   2 = R 1   or   2 P ,
θ 1 = θ 2 + 2 ϕ ,
Λ = λ 2 n   cos θ 1   or   2 ϕ ,
Λ = λ 2 n   cos sin - 1 sin tan - 1 R 1   or   2 / P n ϕ .
Δ λ = - λ Δ θ   tan θ 1   or   2 ϕ .
Δ θ 1   or   2 = cos   θ 1   or   2 n 2 - sin 2   θ 1   or   2 1 / 2   Δ θ 1   or   2 .

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