Exact and Analytical Methods for Finding Complex Roots of Moving Waveguides with Absorbing Layers

Abstract

We present here two methods of analysis of the complex moving waveguide. One approach is a numerical technique based on Davidenko's method, the other is a perturbation method. Numerical results by Davidenko's method are compared with these obtained from the perturbation method. It is found that the results of the perturbation method are in a good agreement with the numerical one. A comparative study of the propagation and attenuation characteristics of the stationary and moving waveguides has also been investigated and discussed. These results could be used in designing many optical moving sensors.

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Correspondence to M. M. Shabat.

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Shabat, M.M., Abdel-Naby, M.A., Madi, Y.S. et al. Exact and Analytical Methods for Finding Complex Roots of Moving Waveguides with Absorbing Layers. International Journal of Infrared and Millimeter Waves 20, 725–735 (1999). https://doi.org/10.1023/A:1022613210948

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  • Moving waveguides
  • Numerical techniques
  • Integrated optics
  • Maxwell's and Minkowski's equations