2025/12/04 by Mora-Paz, Jaime, Demkowicz, Leszek, Taylor, Christina G. +2
#33C10 #34B30 #65L15 #78M99 #Computational Physics (physics.comp-ph) #FOS: Physical sciences #J.2
paper · doi:10.48550/arxiv.2512.04348
The paper is devoted to the study of circularly coiled optical slab waveguides, which is also applicable to acoustical waveguides. We use a change of variables and the classical Frobenius method to compute Bessel functions of complex order and complex argument, and combine it with a perfectly matched layer technique to solve the relevant Bessel eigenvalue problem and deliver accurate loss factors for eigensolutions to the three-layer optical slab waveguide problem. The solutions provide a benchmark for verifying model implementations of this problem and allow for a numerical verification of the Glazman criterion that provides a foundation for the well-posedness and stability analysis of homogeneous circular waveguides with impedance boundary conditions.