Abstract

A highly precise rotational filter based on a volume-holographic optical element is proposed and demonstrated. We present a clear theoretical calculation of the rotation sensitivity of the volume-holographic filter used to sense the rotation of a spherical ground glass object. By introducing the longitudinal displacement of the scattering point across the sphere, the sensitivity of the filter is greatly improved to 350 times that of a general case for a planar ground glass.

© 2007 Optical Society of America

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  1. C. C. Sun and P. P. Banerjee, "Special section guest editorial: volume holographic optical elements," Opt. Eng. 43, 1957-1958 (2004).
    [CrossRef]
  2. 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).
  3. S. Yin, P. Purwosumarto, and F. T. S. Yu, "Application of fiber specklegram sensor to fine angular alignment," Opt. Commun. 170, 15-21 (1999).
    [CrossRef]
  4. G. A. Rakuljic, V. Levya, and Yariv, "Optical data storage by using orthogonal wavelength-multiplexed volume holograms," Opt. Lett. 17, 1471-1473 (1992).
    [CrossRef] [PubMed]
  5. 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]
  6. 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]
  7. G. Barbastathis, M. Balberg, and D. J. Brady, "Confocal microscopy with a volume holographic filter," Opt. Lett. 24, 811-813 (1999).
    [CrossRef]
  8. A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, "Imaging using volume holograms," Opt. Eng. 43, 1959-1972 (2004).
    [CrossRef]
  9. W. Liu, G. Barbastathis, and D. Psaltis, "Volume holographic hyperspectral imaging," Appl. Opt. 43, 3581-3599 (2004).
    [CrossRef] [PubMed]
  10. 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]
  11. 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]
  12. C. C. Sun, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (2002).
    [CrossRef]
  13. 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]
  14. 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]
  15. 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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
    [CrossRef]
  16. 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]
  17. S. H. Shin and B. Javidi, "Three-dimensional object recognition by use of a photorefractive processor," Opt. Lett. 26, 1161-1163 (2001).
    [CrossRef]
  18. B. Javidi and E. Tajahuerce, "Three-dimensinal object recognition by use of digital holography," Opt. Eng. 25, 610-612 (2000).
  19. 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]
  20. C. C. Sun, "A simplified model for diffraction analysis of volume holograms," Opt. Eng. 42, 1184-1185 (2003).
    [CrossRef]
  21. 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]
  22. 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]
  23. 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]

2005

2004

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]

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]

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]

2003

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

C. C. Sun, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (2002).
[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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[CrossRef]

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]

2001

S. H. Shin and B. Javidi, "Three-dimensional object recognition by use of a photorefractive processor," Opt. Lett. 26, 1161-1163 (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. 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]

2000

B. Javidi and E. Tajahuerce, "Three-dimensinal object recognition by use of digital holography," Opt. Eng. 25, 610-612 (2000).

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]

1999

G. Barbastathis, M. Balberg, and D. J. Brady, "Confocal microscopy with a volume holographic filter," Opt. Lett. 24, 811-813 (1999).
[CrossRef]

S. Yin, P. Purwosumarto, and F. T. S. Yu, "Application of fiber specklegram sensor to fine angular alignment," Opt. Commun. 170, 15-21 (1999).
[CrossRef]

1992

Balberg, M.

Banerjee, P. P.

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

Barbastathis, G.

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]

G. Barbastathis, M. Balberg, and D. J. Brady, "Confocal microscopy with a volume holographic filter," Opt. Lett. 24, 811-813 (1999).
[CrossRef]

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).

Brady, D. J.

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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[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]

Chiou, E. T.

C. C. Sun, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (2002).
[CrossRef]

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]

Hsu, C. Y.

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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[CrossRef]

Javidi, B.

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

B. Javidi and E. Tajahuerce, "Three-dimensinal object recognition by use of digital holography," Opt. Eng. 25, 610-612 (2000).

Jeong, Y.

Lee, B.

Levya, V.

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]

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

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

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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (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.

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]

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]

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).

Purwosumarto, P.

S. Yin, P. Purwosumarto, and F. T. S. Yu, "Application of fiber specklegram sensor to fine angular alignment," Opt. Commun. 170, 15-21 (1999).
[CrossRef]

Rakuljic, G. A.

Shin, S. H.

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.

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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (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, 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]

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]

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 and P. P. Banerjee, "Special section guest editorial: volume holographic optical elements," Opt. Eng. 43, 1957-1958 (2004).
[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, "A simplified model for diffraction analysis of volume holograms," Opt. Eng. 42, 1184-1185 (2003).
[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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[CrossRef]

C. C. Sun, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (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]

Tajahuerce, E.

B. Javidi and E. Tajahuerce, "Three-dimensinal object recognition by use of digital holography," Opt. Eng. 25, 610-612 (2000).

Teng, T. C.

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]

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]

Yin, S.

S. Yin, P. Purwosumarto, and F. T. S. Yu, "Application of fiber specklegram sensor to fine angular alignment," Opt. Commun. 170, 15-21 (1999).
[CrossRef]

Yu, F. T. S.

S. Yin, P. Purwosumarto, and F. T. S. Yu, "Application of fiber specklegram sensor to fine angular alignment," Opt. Commun. 170, 15-21 (1999).
[CrossRef]

Yu, Y. W.

Appl. Opt.

Micro. Opt. Tech. Lett.

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," Micro. Opt. Tech. Lett. 34, 319-321 (2002).
[CrossRef]

Opt. Commun.

S. Yin, P. Purwosumarto, and F. T. S. Yu, "Application of fiber specklegram sensor to fine angular alignment," Opt. Commun. 170, 15-21 (1999).
[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]

Opt. Eng.

B. Javidi and E. Tajahuerce, "Three-dimensinal object recognition by use of digital holography," Opt. Eng. 25, 610-612 (2000).

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 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]

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, Y. Ouyang, W. C. Su, and E. T. Chiou, "All-optical angular sensing based on holography multiplexing with spherical waves," Opt. Eng. 41, 2809-2813 (2002).
[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]

Opt. Lett.

Other

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 (4)

Fig. 1
Fig. 1

Schematic diagram of the volume-holographic spatial filter.

Fig. 2
Fig. 2

(Color online) Experimental setup: M, mirror; L, lens; HWP, half-wave plate; PBS, polarized beam splitter; D, detector.

Fig. 3
Fig. 3

(Color online) Experimental and simulation results of the normalized diffraction intensity with respect to the rotation around the z axis.

Fig. 4
Fig. 4

(Color online) Theoretical simulations of the normalized diffraction intensity with respect to the rotation around the x axis as well as the y axis.

Equations (11)

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

E r = d s r A r e i n k 0 { [ n ( z 0 z r l z 2 ) + z + l z 2 ] + ( x x r ) 2 + ( y y r ) 2 2 [ n ( z 0 z r l z 2 ) + z + l z 2 ] } ,
E s = A s e i n k 0 x ,
E d l x / 2 l x / 2 E r * E s E p e i n k 0 x d x ,
E p = d s r A p e i n k 0 { [ n ( z 0 z r Δ z r l z 2 ) + z + l z 2 ] + ( x x r Δ x r ) 2 + ( y y r Δ y r ) 2 2 [ n ( z 0 z r Δ z r l z 2 ) + z + l z 2 ] } ,
E p = A p d s r e i n k 0 { [ n ( z 0 z r l z 2 ) + z + l z 2 ] + ( x x r Δ x r ) 2 + ( y y r Δ y r ) 2 2 [ n ( z 0 z r l z 2 ) + z + l z 2 ] } .
E d 0 π / 2 sin   θ cos 2 θ d θ 0 2 π d ϕ × l x / 2 l x / 2 d x e i n k 0 { x R   sin   θ   sin   ϕ Δ ϕ [ n ( z 0 R   cos   θ l z 2 ) + l z 2 ] } ,
E d z 0 2 π d ϕ 0 R 1 ( ρ / R ) 2 ( sin   ϕ Δ ϕ )   sin ( π l x ρ   sin   ϕ Δ ϕ λ z 0 ) d ρ ,
E d x 0 π sin 3 θ d θ 0 π sin 2 ϕ e i n k 0 ( 2 n R   sin   θ   cos   ϕ Δ ϕ + R 2 sin 2 θ   sin   ϕ   cos   ϕ Δ ϕ z 0 ) d ϕ ,
E d y 0 π sin 3 θ d θ 0 π sin 2 φ e i n k 0 [ 2 n R   sin   θ   cos   φ Δ φ + R   sin   θ   sin   φ Δ φ ( x R   sin   θ   sin   φ ) z 0 ] d φ .
E d x 0 π sin 3 θ d θ 0 π sin 2 ϕ e i 2 n k 0 Δ z r d ϕ ,
E d y 0 π sin 3 θ d θ 0 π sin 2 φ e i 2 n k 0 Δ z r sinc ( Δ z r l x λ z 0 ) d φ ,

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