Abstract
This manuscript explores various phase constant candidates for computation of guided power in symmetric dielectric slab waveguides. Prior studies on guided power calculation have been marred by ambiguity in definition of the phase constant. In this study, we establish the relationships between electric and magnetic fields for both Transverse Electric (TE) and Transverse Magnetic (TM) modes by evaluating numerous phase constant candidates regarding the computation error of guided powers traversing the cross-sectional area of a three-dimensional (3D) waveguide. As a numerical example, we analyze a dielectric slab waveguide comprising a silicon core encased by a silicon dioxide cladding, and compare the calculated fields and guided powers in TE and TM modes, validated by simulation results.