Abstract

An out-of-plane angular detection scheme with random phase encoding is proposed. A ground glass is attached on a rod, which is rotated around a center point, so that the rotation of the rod induces the displacement of the ground glass in a circular path. To enhance the rotational sensitivity we adjust the Bragg selectivity of the volume holographic optical element encoded by random phase. Therefore, the rotational sensitivity can be tuned over a large range from several degrees to ten thousandth degrees by changing the radius of rotation. The theoretical calculation, as well as experiment, is demonstrated.

© 2007 Optical Society of America

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References

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  1. For example, G. Barbastathis and D. Psaltis, "Volume holographic multiplexing methods," in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, 2000).
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    [CrossRef]
  3. G. Barbastathis, M. Balberg, and D. J. Brady, "Confocal microscopy with a volume holographic filter," Opt. Lett. 24, 811-813 (1999).
    [CrossRef]
  4. S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Opt. Eng. 43, 2028-2033 (2004).
    [CrossRef]
  5. F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
    [CrossRef]
  6. A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
    [CrossRef]
  7. W. Liu, G. Barbastathis, and D. Psaltis, "Volume holographic hyperspectral imaging," Appl. Opt. 43, 3581-3599 (2004).
    [CrossRef] [PubMed]
  8. B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
    [CrossRef]
  9. T. C. Teng, P. C. Ou, and C. C. Sun, "Volume holographic optical elements for point-to-point self-focusing with local crosstalk," Opt. Lett. 30, 3015-3017 (2005).
    [CrossRef] [PubMed]
  10. C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
    [CrossRef]
  11. C. C. Sun, T. C. Teng, and Y. W. Yu, "One-dimensional optical imaging with volume holographic optical element," Opt. Lett. 30, 1132-1134 (2005).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  13. C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
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    [CrossRef]
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    [CrossRef]
  18. C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
    [CrossRef]
  19. C. C. Sun and W. C. Su, "Three-dimensional shifting selectivity of random phase encoding in volume holograms," Appl. Opt. 40, 1253-1260 (2001).
    [CrossRef]
  20. C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
    [CrossRef]
  21. C. C. Sun, Y. M. Chen, and W. C. Su, "An all-optical fiber sensing system based on random phase encoding and volume holographic interconnection," Opt. Eng. 40, 160-161 (2001).
    [CrossRef]
  22. Y. Jeong and B. Lee, "Effect of a random pattern through a multimode-fiber bundle on angular and spatial selectivity in volume holograms: experiments and theory," Appl. Opt. 41, 4085-4091 (2002).
    [CrossRef] [PubMed]
  23. C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
    [CrossRef]
  24. C. C. Chang, K. L. Russel, and G. K. Wu, "Optical holographic memory using angular-rotationally phase-coded multiplexing in a LiNbO3:Fe crystal," Appl. Phys. B 72, 307-310 (2001).
  25. C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
    [CrossRef]
  26. T. C. Teng, W. J. Zhong, S. H. Ma, and C. C. Sun, "Volume holographic filters for rotational sensing of 3D objects," Appl. Opt. 46, 1456-1459 (2007).
    [CrossRef] [PubMed]
  27. S. H. Shin and B. Javidi, "3-dimensional object recognition by use of a photorefractive volume holographic processor," Opt. Lett. 26, 1161-1163 (2001).
    [CrossRef]
  28. C. C. Sun, "A simplified model for diffraction analysis of volume holograms," Opt. Eng. 42, 1184-1185 (2003).
    [CrossRef]

2007 (2)

C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
[CrossRef]

T. C. Teng, W. J. Zhong, S. H. Ma, and C. C. Sun, "Volume holographic filters for rotational sensing of 3D objects," Appl. Opt. 46, 1456-1459 (2007).
[CrossRef] [PubMed]

2005 (2)

2004 (6)

For example, C. C. Sun and P. P. Banerjee, "Special section guest editorial: volume holographic optical elements," Opt. Eng. 43, 1957-1958 (2004).
[CrossRef]

S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Opt. Eng. 43, 2028-2033 (2004).
[CrossRef]

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
[CrossRef]

W. Liu, G. Barbastathis, and D. Psaltis, "Volume holographic hyperspectral imaging," Appl. Opt. 43, 3581-3599 (2004).
[CrossRef] [PubMed]

B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
[CrossRef]

2003 (2)

C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
[CrossRef]

C. C. Sun, "A simplified model for diffraction analysis of volume holograms," Opt. Eng. 42, 1184-1185 (2003).
[CrossRef]

2002 (2)

Y. Jeong and B. Lee, "Effect of a random pattern through a multimode-fiber bundle on angular and spatial selectivity in volume holograms: experiments and theory," Appl. Opt. 41, 4085-4091 (2002).
[CrossRef] [PubMed]

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

2001 (5)

C. C. Sun and W. C. Su, "Three-dimensional shifting selectivity of random phase encoding in volume holograms," Appl. Opt. 40, 1253-1260 (2001).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
[CrossRef]

C. C. Sun, Y. M. Chen, and W. C. Su, "An all-optical fiber sensing system based on random phase encoding and volume holographic interconnection," Opt. Eng. 40, 160-161 (2001).
[CrossRef]

C. C. Chang, K. L. Russel, and G. K. Wu, "Optical holographic memory using angular-rotationally phase-coded multiplexing in a LiNbO3:Fe crystal," Appl. Phys. B 72, 307-310 (2001).

S. H. Shin and B. Javidi, "3-dimensional object recognition by use of a photorefractive volume holographic processor," Opt. Lett. 26, 1161-1163 (2001).
[CrossRef]

2000 (2)

C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
[CrossRef]

For example, G. Barbastathis and D. Psaltis, "Volume holographic multiplexing methods," in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, 2000).

1999 (1)

1998 (1)

1997 (1)

1996 (1)

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

1995 (1)

1993 (1)

H. Lee and S. K. Jin, "Experimental study of volume holographic interconnects using random patterns," Appl. Phys. Lett. 62, 2191-2193 (1993).
[CrossRef]

1968 (1)

Balberg, M.

Banerjee, P. P.

For example, C. C. Sun and P. P. Banerjee, "Special section guest editorial: volume holographic optical elements," Opt. Eng. 43, 1957-1958 (2004).
[CrossRef]

Barbastathis, G.

Bashaw, M. C.

Brady, D. J.

Chang, C. C.

C. C. Chang, K. L. Russel, and G. K. Wu, "Optical holographic memory using angular-rotationally phase-coded multiplexing in a LiNbO3:Fe crystal," Appl. Phys. B 72, 307-310 (2001).

Chang, J. Y.

B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
[CrossRef]

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

Chang, M. W.

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

Chang, W.

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

Chen, S. F.

S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Opt. Eng. 43, 2028-2033 (2004).
[CrossRef]

Chen, Y. M.

C. C. Sun, Y. M. Chen, and W. C. Su, "An all-optical fiber sensing system based on random phase encoding and volume holographic interconnection," Opt. Eng. 40, 160-161 (2001).
[CrossRef]

Chiou, A. E. T.

C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
[CrossRef]

Gao, Q.

Havermeyer, F.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

Heanue, J. F.

Hesselink, L.

Hsu, C. Y.

C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
[CrossRef]

C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
[CrossRef]

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

Javidi, B.

Jeong, Y.

Jin, S. K.

H. Lee and S. K. Jin, "Experimental study of volume holographic interconnects using random patterns," Appl. Phys. Lett. 62, 2191-2193 (1993).
[CrossRef]

Joseph, J.

Kostuk, R.

LaMacchia, J. T.

Lee, B.

Lee, H.

H. Lee and S. K. Jin, "Experimental study of volume holographic interconnects using random patterns," Appl. Phys. Lett. 62, 2191-2193 (1993).
[CrossRef]

Liu, W.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
[CrossRef]

W. Liu, G. Barbastathis, and D. Psaltis, "Volume holographic hyperspectral imaging," Appl. Opt. 43, 3581-3599 (2004).
[CrossRef] [PubMed]

Ma, S. H.

C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
[CrossRef]

T. C. Teng, W. J. Zhong, S. H. Ma, and C. C. Sun, "Volume holographic filters for rotational sensing of 3D objects," Appl. Opt. 46, 1456-1459 (2007).
[CrossRef] [PubMed]

Moser, C.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

Ou, P. C.

Ouyang, Y.

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
[CrossRef]

Psaltis, D.

W. Liu, G. Barbastathis, and D. Psaltis, "Volume holographic hyperspectral imaging," Appl. Opt. 43, 3581-3599 (2004).
[CrossRef] [PubMed]

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
[CrossRef]

Russel, K. L.

C. C. Chang, K. L. Russel, and G. K. Wu, "Optical holographic memory using angular-rotationally phase-coded multiplexing in a LiNbO3:Fe crystal," Appl. Phys. B 72, 307-310 (2001).

Shin, S. H.

Singh, K.

Sinha, A.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
[CrossRef]

Steckman, G. J.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

Su, W. C.

C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
[CrossRef]

B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
[CrossRef]

C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
[CrossRef]

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, Y. M. Chen, and W. C. Su, "An all-optical fiber sensing system based on random phase encoding and volume holographic interconnection," Opt. Eng. 40, 160-161 (2001).
[CrossRef]

C. C. Sun and W. C. Su, "Three-dimensional shifting selectivity of random phase encoding in volume holograms," Appl. Opt. 40, 1253-1260 (2001).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
[CrossRef]

Sun, C. C.

T. C. Teng, W. J. Zhong, S. H. Ma, and C. C. Sun, "Volume holographic filters for rotational sensing of 3D objects," Appl. Opt. 46, 1456-1459 (2007).
[CrossRef] [PubMed]

C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
[CrossRef]

C. C. Sun, T. C. Teng, and Y. W. Yu, "One-dimensional optical imaging with volume holographic optical element," Opt. Lett. 30, 1132-1134 (2005).
[CrossRef] [PubMed]

T. C. Teng, P. C. Ou, and C. C. Sun, "Volume holographic optical elements for point-to-point self-focusing with local crosstalk," Opt. Lett. 30, 3015-3017 (2005).
[CrossRef] [PubMed]

B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
[CrossRef]

For example, C. C. Sun and P. P. Banerjee, "Special section guest editorial: volume holographic optical elements," Opt. Eng. 43, 1957-1958 (2004).
[CrossRef]

S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Opt. Eng. 43, 2028-2033 (2004).
[CrossRef]

C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
[CrossRef]

C. C. Sun, "A simplified model for diffraction analysis of volume holograms," Opt. Eng. 42, 1184-1185 (2003).
[CrossRef]

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, Y. M. Chen, and W. C. Su, "An all-optical fiber sensing system based on random phase encoding and volume holographic interconnection," Opt. Eng. 40, 160-161 (2001).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
[CrossRef]

C. C. Sun and W. C. Su, "Three-dimensional shifting selectivity of random phase encoding in volume holograms," Appl. Opt. 40, 1253-1260 (2001).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
[CrossRef]

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

Teng, T. C.

Tsou, R. H.

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

Unnikrishnan, G.

Wang, B.

B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
[CrossRef]

White, D. L.

Wu, C. H.

C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
[CrossRef]

Wu, C. S.

S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Opt. Eng. 43, 2028-2033 (2004).
[CrossRef]

Wu, G. K.

C. C. Chang, K. L. Russel, and G. K. Wu, "Optical holographic memory using angular-rotationally phase-coded multiplexing in a LiNbO3:Fe crystal," Appl. Phys. B 72, 307-310 (2001).

Yu, Y. W.

Zhong, W. J.

Appl. Opt. (8)

Appl. Phys. B (1)

C. C. Chang, K. L. Russel, and G. K. Wu, "Optical holographic memory using angular-rotationally phase-coded multiplexing in a LiNbO3:Fe crystal," Appl. Phys. B 72, 307-310 (2001).

Appl. Phys. Lett. (1)

H. Lee and S. K. Jin, "Experimental study of volume holographic interconnects using random patterns," Appl. Phys. Lett. 62, 2191-2193 (1993).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, "A novel algorithm for high sensitivity in measuring surface variation based on volume holography," Microwave Opt. Technol. Lett. 34, 319-321 (2002).
[CrossRef]

Opt. Commun. (3)

C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction sensitivity of holograms with random phase encoding," Opt. Commun. 175, 67-74 (2000).
[CrossRef]

C. C. Sun, W. C. Su, B. Wang, and A. E. T. Chiou, "Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm," Opt. Commun. 191, 209-224 (2001).
[CrossRef]

C. C. Sun, C. Y. Hsu, S. H. Ma, and W. C. Su, "Rotation selectivity of random phase encoding in volume holograms," Opt. Commun. 276, 62-66 (2007).
[CrossRef]

Opt. Eng. (8)

C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng. 42, 2788-2789 (2003).
[CrossRef]

C. C. Sun, "A simplified model for diffraction analysis of volume holograms," Opt. Eng. 42, 1184-1185 (2003).
[CrossRef]

C. C. Sun, Y. M. Chen, and W. C. Su, "An all-optical fiber sensing system based on random phase encoding and volume holographic interconnection," Opt. Eng. 40, 160-161 (2001).
[CrossRef]

B. Wang, J. Y. Chang, W. C. Su, and C. C. Sun, "Optical security using a random binary phase code in volume holograms," Opt. Eng. 43, 2048-2052 (2004).
[CrossRef]

For example, C. C. Sun and P. P. Banerjee, "Special section guest editorial: volume holographic optical elements," Opt. Eng. 43, 1957-1958 (2004).
[CrossRef]

S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Opt. Eng. 43, 2028-2033 (2004).
[CrossRef]

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, "Volume holographic grating-based continuously tunable optical filter," Opt. Eng. 43, 2017-2021 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
[CrossRef]

Opt. Lett. (4)

Opt. Quantum Electron. (1)

C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang, and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509-1520 (1996).
[CrossRef]

Other (1)

For example, G. Barbastathis and D. Psaltis, "Volume holographic multiplexing methods," in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, 2000).

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Figures (5)

Fig. 1
Fig. 1

(Color online) Schematic diagram of the rotational sensing system.

Fig. 2
Fig. 2

(Color online) Geometrical relation of the points on the ground glass before and after the rotation.

Fig. 3
Fig. 3

(Color online) Rotation tolerance vs. the radius of rotation when d = 10   mm and z 0 = 100   mm .

Fig. 4
Fig. 4

(Color online) (a) Experiment setup. SF, spatial filter; L, lens; HWP, half-wave plate; PBS, polarized beam splitter; M, mirror; RS, rotational stage; S, shutter. (b) Picture.

Fig. 5
Fig. 5

(Color online) Theoretical calculation (line) and the corresponding experimental measurement (dots) of the normalized diffraction intensity vs. rotation. (a) Δ z = 0 . (b) Δ z = 2   mm . (c) Δ z = 5   mm .

Equations (4)

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x 2 = x 1 × cos   θ ( z 1 + Δ z ) × sin   θ ,
y 2 = y 1 ,
z 2 = ( z 1 + Δ z ) × cos   θ + x 1 × sin   θ ,
D = L / 2 L / 2 d / 2 d / 2 d / 2 d / 2 d / 2 d / 2 d / 2 d / 2 cos   θ r 1 · r 2 · B · exp { j ϕ ( x 2 , y 2 ) j ϕ ( x 1 , y 1 ) } · exp { j k ( z 2 z 1 ) } · exp { j k ( r 2 r 1 ) } · d x 1 · d y 1 · d x 2 · d y 2 · d x 3 ,

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