Bent asymmetric dielectric slab waveguides: a detailed analysis

Analytic expressions for the field and propagation constants of the mode along a uniformly curved three-layered slab waveguide are presented in terms of the power series of the curvature. To compare the accuracy of approximate solutions, numerical analysis is carried out. New bending loss formulas are also derived which consider the field deformation and the change of the propagation constant. It is shown that they are very accurate over a wide range of normalized frequency.