Simulation of Computer-Generated Hologram Using Fraunhofer Approximation

Abstract

In this present work, Computer generated holograms are developed using Matlab programming. Holograms have been produced by optical techniques for the past few decades. Computer generated holography treaties with the generation of holograms with the support of computers. Holograms are constructed by interfering between two waves one is object wave which is scattered of the wave field from the object and another is reference coherent wave. Computer generated holography is the method to represent the object and reference waves mathematically which exploits the wave theory of light. Fourier Transform operation is applied to give the far field amplitude calculation it is the primary requirement for calculating the interference pattern and generating the hologram. Moreover, here we generate the hologram by MATLAB program and alphabet “A” used as an object.

Keyword : MATLAB, Fourier Transformation, Reconstructed image, Fraunhofer approximation

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Feb 23, 2018

Published

Feb 23, 2018

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References

1. Divya PS, Sheeja MK, a study and simulation of computer generated holograms, 2013, 2. 6, 1340-1347. 3. Fienup JR, Iterative method applied to image reconstruction and to computer-generated holograms, 1980, 19, 297-305. 4. Hariharan P., Basics of Holography (Cambridge University Press, 2002). 5. Lee, W.H., Computer-generated holograms: techniques and applications. In Progress in Optics, 16, 1978, ed. E. Wolf, pp. 121-232. Amsterdam: North-Holland. 6. P. Hariharan, Division of applied physics, CSIRO, Canberra, Optical holography; Principles, Techniques and Applications, 1996, ISBN- 9780521439657 7. Brown, B.R., Lohmann, A.W., Complex spatial filtering with binary masks, Applied Optics, 1966, 5, 967-969. 8. Brown, B.R., Lohmann, A.W., Computer-generated binary holograms, IBM Jour. Res. & Dev., 1969, 13, 160-7. 9. Cooley J.W., Tukey, J.W., Math comput., 1965, 11, 297. 10. Gabor, D., A new microscopic principle, Nature, 1948, 161, 777-8. 11. Leith, E. N., Upatneiks, J., Reconstructed wavefronts and communication theory, J. Opt. Soc. Am., 1962, 52, 1123-30. 12. Leith, E. N., Upatneiks, J., Wavefront reconstruction with continuous-tone objects, J. Opt. Soc. Am., 1963, 53, 1377-81. Leith, E. N., Upatneiks, J., Wavefront reconstruction with diffused illumination and three-dimensional objects, J. Opt. Soc. Am., 1964, 54, 1295-301. 13. Goodman J. W., Introduction to Fourier Optics, 2005, (Tata McGraw Hill Companies Inc. 2nd ed.). 14. Vander Lugt, A., Signal detection by complex spatial filtering, IEEE Trans. Info Theo, IT-10, 139-45 (1964). 15. Stroke, G. W., White-light reconstruction of holographic images using transmission holograms recorded with conventionally focused images and in-line background. Physics Letters, 23, 325-7 (1966). 16. Denisyuk, Yu.N., Photographic reconstruction of the optical properties of an object in its own scattered radiation field, Soviet Physics- Doklady, 7, 543-5 (1962).