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Phase conjugation via unequal amplitude multiple gratings in photorefractives: A simple shooting method for numerical solution

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Abstract

We present a simple shooting method to obtain numerical solutions of the nonlinear coupled-wave equations for degenerate four-wave mixing in photorefractive crystals when four different types of the index gratings of unequal amplitudes are responsible for phase-conjugation. Our analysis includes the effects of pump depletion and absorption in the medium. Intensities of the four beams, both inside and at the output surface, are obtained as a function of four unequal coupling strengths and absorption coefficient. Intensity of the generated phase-conjugate beam is shown as a function of both the small and wide ranges of signal beam intensity. It is found that the multigrating operation with a careful choice of coupling constants and their combinations may improve the phase-conjugate wave generation. Also the presence of absorption reduces the phase-conjugate intensity more significantly when all the gratings are operative than when a single grating is allowed. Numerical results obtained from the computer calculations are presented in graphical form.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology, Delhi, 110016, New Delhi, India

    T. K. Das & K. Singh

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  1. T. K. Das
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  2. K. Singh
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Das, T.K., Singh, K. Phase conjugation via unequal amplitude multiple gratings in photorefractives: A simple shooting method for numerical solution. Appl. Phys. B 49, 557–564 (1989). https://doi.org/10.1007/BF00324957

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  • DOI: https://doi.org/10.1007/BF00324957

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