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.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
R. G. Hunsperger, Integrated Optics, Theory and Technol., Springer-Verlag, Berlin, 1985.
H. A. Haus, Waves and Fields in Optoelectronics, Prentice-Hall, Englewood Cliffs, NJ, 1984.
Allen H. Cherin, An Introduction to Optical Fibers, McGraw-Hill Book Company, New York, 1983.
F. Kh. Baibulatov, \ldPropagation of Electromagnetic Waves in a Moving Waveguide,\rd Opt. Spect. (USSR). Vol. 58, No. 6, 1985, pp. 803-805.
F. Kh. Baibulatov, \ldAmplitudes of Directed Waves In a Moving Planar Waveguide,\rd Opt. Spect. (USSR). Vol. 80, No. 6, 1996, pp. 911-913.
R. K. Wangsness, \ldPropagation of an Electromagnetic Wave in a Slowly Moving Conducting Dielectric,\rd Am. J. Phys. Vol. 50, No. 8, 1982, pp. 745-747
J. C. Hoover, \ldGuided Waves in Moving Media,\rd IEEE Trans. Microwave Theory and Tech. 1967, pp. 274-275.
B. M. Bolotovskii, and S. N. Solyarov, \ldCurrent Status of The Electrodynamics of Moving Media (Infinite Media),\rd Sov. Phys. Usp. Vol. 17, 1975, pp. 875-895.
S. H. Talisa, \ldApplication of Davidenko's Method to the Solution of Dispersion Relations in Lossy Waveguiding System,\rd IEEE Trans. Microwave Theory Tech. Vol. 33, 1985, pp. 967-971.
H. N. Hejase, \ldOn The Use of Davidenko's Method in Complex Root Search,\rd IEEE Trans. Microwave Theory and Tech. Vol. 41, 1993, pp.141-143.
S. X. She, \ldCharacteristics Analysis of Metal-Clad and Absorptive Dielectric Waveguides by a Simple and Perturbation Method,\rd Opt. and Quantum Elect., Vol. 23, 1991, pp. 1045-1054.
M. M. Shabat, \ldNumerical Algorithms For Modeling Hybrid Surface Plasmon Polaritons Guided by Metal Films,\rd Microwave and Optical Technol. Letters. Vol. 16, No. 2, 1997, pp. 122-124.
S. D. Conte, and C. D. Boor, Elementary Numerical Analysis, McGraw-Hill, Kogakusha, Ltd., 1972.
G. Sewell, The Numerical Solution of Ordinary and Partial Differential Equations, Academic Press, Inc., San Diego, 1988.
About this article
Cite this article
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
- Moving waveguides
- Numerical techniques
- Integrated optics
- Maxwell's and Minkowski's equations