Hjm. Bastiaansen et al., RIGOROUSLY MODELING SHORT BENT, GRADED-INDEX DIELECTRIC SLAB WAVE-GUIDES, IEEE transactions on microwave theory and techniques, 41(11), 1993, pp. 1972-1980
Circularly short bent, graded-index dielectric slab waveguides are mat
hematically modeled using both a direct integration method and a sourc
e-type integral equation method. The former method is easy to implemen
t, requiring only small amounts of computer time. The tatter method ha
s the potential to be extended to a rigorous model for bent channel wa
veguides. Both homogeneous and inhomogeneous slab waveguide layers are
considered. The mathematical models are validated through comparison
of the numerical results with results obtained by the analytical reson
ance conditions. Numerous numerical examples are given.