REGULAR BOUNDARY INTEGRAL FORMULATION FOR THE ANALYSIS OF OPEN DIELECTRIC OPTICAL WAVE-GUIDES/

Regular boundary element method is employed for the variational formul ation of Helmholtz equation that governs the waveguiding problems, The problems are defined on the boundary as usual, but like in the charge simulation method, the source points associated with the fundamental solutions are allocated outside the domain so that the singular integr als which occur in the standard boundary element procedure can be avoi ded, First, the formulation is developed for the two-dimensional (2-D) scalar Helmholtz problem solving for the axial components of either e lectric or magnetic fields, Then the formulation is extended for the a nalysis of dielectric waveguides of open type incorporating axial comp onents of both electric and magnetic fields, for the solution of the p ropagating modes which are generally of hybrid types, Very close agree ments have been found when the solutions obtained by the present formu lation are compared with the ones obtained by different methods, One m erit of the extended formulation is that it has been fixed to suppress the spurious solutions.