The infinite set of linear algebraic equations for solving the boundary-value problem for electromagnetic radiation transmitted in a system of two identical parallel dielectric cylindrical waveguides, which replaces the usual coupled-mode perturbative theory, is explicitly written and truncated to a finite size. For the first time, to my knowledge, its exact numerical solutions are obtained, discussed, and illustrated. Two symmetries of the problem are employed to simplify its numerical analysis and conveniently classify the existing global modes. In the two-waveguide system the degeneracy of modes of a single cylindrical waveguide is removed. The dependence of modes on the waveguides' radius and their separation is illustrated. The solutions include, as a special case, the solution of the problem of a single cylindrical waveguide placed parallel to the planar surface of a perfect conductor.
© 1997 Optical Society of America
Original Manuscript: February 20, 1996
Revised Manuscript: June 26, 1996
Manuscript Accepted: August 12, 1996
Published: March 1, 1997
Władysław Żakowicz, "Two coupled dielectric cylindrical waveguides," J. Opt. Soc. Am. A 14, 580-587 (1997)