ABSTRACT

Curved dielectric-waveguides radiate lights to cause losses. The radiation loss of waveguide bends using a slab waveguide model is described. Substituting the electric field in z-direction E z = F(r) exp(–ivθ) into Maxwell’s equations in cylindrical polar coordinates (Figure 1), the radial function F(r) is determined by () 1 r ∂ ∂ r ( r ∂ F ∂ r ) + ( ω 2 ε 0 μ n 2 − v 2 r 2 ) F = 0. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315220949/77cbcab8-b2d5-485c-b5ba-5378c11678dd/content/eq525.tif"/> Bending slab dielectric waveguide in (<italic>r, θ, z</italic>) coordinate https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315220949/77cbcab8-b2d5-485c-b5ba-5378c11678dd/content/fig55_1.tif"/>