Cover
Vol. 1 No. 1 (2002)

Published: January 31, 2002

Pages: 15-29

Original Article

Theoretical Study in the Realization of Real-Time Parallel Optical Logic Operations Using Two-Wave Mixing in Photorefractive Materials

R.S. Fyath 1 J.M. Abdul-Jabbar 2 S.M. Ameen 3
1Department of Electrical Engineering, College of Engineering, University of Basrah, Basrah, Iraq.
2Department of Computer Engineering, College of Engineering, University of Basrah, Basrah, Iraq.
3Department of Physics, College of Science, University of Basrah, Basrah, Iraq.
History
  • Received: November 30, 2001
  • Available Online: January 31, 2002
DOI

https://doi.org/10.37917/ijeee.1.1.2

Abstract

A theoretical analysis is presented to calculate the signal phase shift and the gain coefficient associated with two-wave mixing in photorefractive crystals subjected to an external electric field. The relative position of the induced-refractive index grating with respect to the fringe pattern of the two input optical beams leads to a coupling effect between the phase and intensity of these beams. An optical logic operation system that is based on photorefractive two-wave mixing is introduced. This system uses the fringe-shifting techniques that are executed by a Mach-Zehnder interferometer. The proposed system configurations are capable of producing all the basic 16 two-operand Boolean functions simultaneously at different output planes.

Keywords

References

  1. A.V. Krishnamooorthy, A.L. Lenttine, K.W. Goossev, J.A. Walker, T.K. Woodward, "3-D integration of MQW active submicron modulators over CMOS circuits: 375 Mb/s transimpedance receiver-transmitter circuit." IEEE Photon. Technol. Lett. Vol. 7, pp. 1288-1290, 1995.
  2. Y. Yuan, X. Zhang, P. Bhattacharyu, "Low photocurrent GaAs-Alo Gac As Multiple-Quantum-Well modulators with selective Erbium doping." IEEE Photon. Technol. Lett. Vol.8, pp. 1638-1643, 1996.
  3. H. Kosaka, M. Kajita, Y. Li, and Y. Sugimoto, A two-dimensional optical parallel transmission using a vertical-cavity surface-emitting Jaser array module and an image fiber." IEEE Photon. Technol. Lett. Vol.9, pp.253-255, 1997
  4. A.A. Kamshilin, J. Frejlich, and P.M. Garcia, "Electrophotochromic gratings in photorefractive $Bi_{12}TiO_{20}$ crystals." Appl. Opt. Vol.31, pp.1787-1793, 1992
  5. F. Vachss, J. Hong, S. Campbell, and D. Cordeiro, "Stable photorefractive square-low conversion using moving grating techniques." Appl. Opt. Vol.31, pp. 1783-1786, 1992.
  6. T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and J. Albers, "Image amplification by two- and four-wave mixing in $3a1iO_{3}$ photorefractive crystals." IEEE J. Quantum Electron. Vol.22, pp.1493-1502, 1986.
  7. J. Joseph, K. Kamra, K. Singh, and P.K.C. Pillai, "Real-time image processing using relative erasure in photorefractive two-wave mixing." Appl. Opt. Vol.31, pp.4769-4772, 1992.
  8. T.Y. Chang, J.H. Hong, and P. Ych, "Spatial amplifications image-processing techniques using the selective amplification of spatial frequencies." Opt. Lett. Vol.15, pp.743-745, 1990.
  9. G.C. Vally and M.B. Klein, "Optical properties of photorefractive materials for optical data processing." Opt. Eng. Vol.22, pp. 704-711, 1983.
  10. N.A. Vainos, S.L. Clapham, and R.W. Eason, "Multiplexed permanent and real-time holographic recording in photorefractive BSO." Appl. Opt. Vol.28, pp.4381-4355, 1989.
  11. G.C. Vally, "Two-wave mixing with an applied field and a moving grating." J. Opt. Soc. Am. Vol. I, pp.868-873, 1984.
  12. M.Z. Zha, P. Amrhein, and P. Gunter, "Measurement of phase shift of photorefractive gratings by a novel method." IEEE J. Quantum Electron. Vol.26, pp.788-792, 1990.
  13. H. Xu, Y. Yuan, K. Xu, and Y. Lu, "Real-time parellel optical logic operation using photorefractive two-wave mixing and fringe-shifting techniques." Appl. Opt. Vol.31, pp.1769-1773, 1992.
  14. N.V. Kukhtarev, V.B. Markov, S.G. Odulov, M.S. Soskin, and V.L. Vinetskii, "Holographic storage in electro-optic crystals. I. Steady state." Ferroelectrics, Vol.22, pp.949-960, 1979.