A RECURRENCE TECHNIQUE FOR COMPUTING THE EFFECTIVE INDEXES OF THE GUIDED MODES OF COUPLED SINGLE-MODE WAVEGUIDES

Document Type : Original Article

Author

Department of Physics, Faculty of Science, Kuwait University, P.O. Box 5969, Safat-13060, Kuwait.

Abstract

The recurrence dispersion equation of coupled single-mode waveguides is modified by eliminating redundant singularities from the dispersion function. A recurrence zero-bracketing (RZB) technique is proposed in which the zeros of the dispersion function at one recurrence step bracket those of the next recurrence step. Numerical examples verify the utility of the RZB technique in computing the roots of the dispersion equation of the TE and TM modes of both uniform and non-uniform arrays.