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The Transfer Function of Volume Holographic Optical Systems

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Photorefractive Materials and Their Applications 3

Part of the book series: Springer Series in OPTICAL SCIENCES ((SSOS,volume 115))

Abstract

We present a theoretical formulation for analysis and design of optical systems that utilize three—dimensional spatial heterodyning implemented by volume holograms of arbitrary shape. Basic volume holographic properties of angle, wavelength, depth selectivity and degeneracy are characterized and the impact of these properties in terms of imaging performance is discussed.

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References

  1. Psaltis, D. Coherent optical information systems. Science 298, 1359–1363 (2002).

    Article  ADS  Google Scholar 

  2. Psaltis, D., Brady, D., Gu, X.G., and Lin, S. Holography in artificial neural networks. Nature 343(6256), 325–330 (1990).

    Article  ADS  Google Scholar 

  3. Li, H.-Y.S. and Psaltis, D. Three dimensional holographic disks. Appl. Opt. 33(17), 3764–3774, June (1994).

    Article  ADS  Google Scholar 

  4. Heanue, J.F., Bashaw, M.C., and Hesselink, L. Volume holographic storage and retrieval of digital data. Science 265(5173), 749–752 (1994).

    Article  ADS  Google Scholar 

  5. Barbastathis, G. and Brady, D.J. Multidimensional tomographic imaging using volume holography. Proc. IEEE 87(12), 2098–2120 (1999).

    Article  Google Scholar 

  6. Lee, H., Gu, X.-G., and Psaltis, D. Volume holographic interconnections with maximal capacity and minimal cross talk. J. Appl. Phys. 65(6), 2191–2194, March (1989).

    Article  ADS  Google Scholar 

  7. Sinha, A., Liu, W., Psaltis, D., and Barbastathis, G. Imaging with volume holograms. Opt. Eng. 43(9), 1959–1972, (2004).

    Article  ADS  Google Scholar 

  8. Sinha, A. and Barbastathis, G. Volume holographic imaging for surface metrology at long working distances. Opt. Express 11, 3202–3209 (2003).

    Article  ADS  Google Scholar 

  9. Sinha, A. and Barbastathis, G. Volume holographic telescope. Opt. Lett. 27, 1690–1692 (2002).

    Article  ADS  Google Scholar 

  10. Sinha, A., Sun, W., Shih, T., and Barbastathis, G. Volume holographic imaging in the transmission geometry. Appl. Opt. 43, 1533–1551 (2004).

    Article  ADS  Google Scholar 

  11. Liu, W., Psaltis, D., and Barbastathis, G. Real time spectral imaging in three spatial dimensions. Opt. Lett. 27, 854–856 (2002).

    Article  ADS  Google Scholar 

  12. Liu, W., Psaltis, D., and Barbastathis, G. Volume holographic hyperspectral imaging. Appl. Opt. 43(19), 3581–3599, (2004).

    Article  ADS  Google Scholar 

  13. Sinha, A., Sun. W., Shih. T., and Barbastathis, G. n-ocular holographic 3D imaging. In OSA Annual Meeting (Orlando, FL, 2002). paper WD7.

    Google Scholar 

  14. Barbastathis, G. and Sinha, A. n-ocular volume holographic imaging. In Cooperative Control: Models, Applications and Algorithms, Butenko, S., Murphey, R., and Pardalos, P. M., editors, 1–21. Kluwer Academic (2003).

    Google Scholar 

  15. Sun, W., Sinha, A., Barbastathis, G., and Neifeld, M.A. Volume holographic image restoration with the Viterbi algorithm. In Conf. on Lasers and Eletro-Optics (2004).

    Google Scholar 

  16. Shih, T. Volume holographic imaging of transparent 3D objects. B.S. thesis, Massachusetts Institute of Technology (2004).

    Google Scholar 

  17. Sun, W. and Barbastathis, G. Rainbow volume holographic imaging. In Conf. on Lasers and Eletro—Optics (2004).

    Google Scholar 

  18. Born, M. and Wolf, E. Principles of Optics. Pergamon Presss, 7th edition (1998).

    Google Scholar 

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Barbastathis, G. (2007). The Transfer Function of Volume Holographic Optical Systems. In: GĂĽnter, P., Huignard, JP. (eds) Photorefractive Materials and Their Applications 3. Springer Series in OPTICAL SCIENCES, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-0-387-34728-8_3

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