Full-vectorial modal analysis for circular optical waveguides based on the multidomain Chebyshev pseudospectral method

What we believe to be a new one-dimensional full-vectorial mode solver for circular waveguides in step-index optical fibers is introduced based on the multidomain Chebyshev pseudospectral method and the perfectly matched layer. The formulations are derived with two transverse components on the radial axis in the cylindrical coordinate system. The electromagnetic fields are expanded inside each homogeneous layer by the Chebyshev basis functions, and then matched rigorously at the radial discontinuities by the interface conditions. The numerical analysis on the guided and leaky modes of the two layer air-clad fiber, hybrid surface plasmon polariton, and Bragg fibers demonstrates the validity and good performance of the present method, which has remarkably high accuracy and fast convergence.