Numerical Study of Attenuation in Multilayer Infrared Waveguides by the Circle-Chain Convergence Method

摘要

A new two-dimensional root-finding algorithm is proposed for studying multilayerwaveguides. This algorithm uses a convergent circle chain in the complex plane to approach the two-dimensional root is especially suitable for finding roots of complicated and rapidly oscillatory functions for which conventional methods do not converge. The attenuation constants of typical slab waveguides with multilayer coatings were calculated by using this method under double precision. The results are compared with those given by other approximate methods.