Double Effective Index Method and Scalar Beam-Propagation Method Analysis of Wavelength Shift for TE and TM Polarized Optical Fields

摘要

We have applied the double effective index method to reduce the two-dimensional refractive index profile into the one-dimensional refractive index structure and modified the wave equations to obtain the paraxial wave equations. Then, TE and TM polarized fields in the curved single-mode planar waveguides are analyzed by using the scalar beam-propagation method employing the finite-difference method with a slab structure. The birefringence for TE and TM polarized fields in bent waveguides is calculated from the phase difference of the optical fields. The wavelength shift due to the birefringence of TE and TM polarized fields in bent waveguides is also calculated.