Effective method for calculating modes of multilayer waveguide

19th International School on Condensed Matter Physics: Advances in Nanostructured Condensed Matter: Research and Innovations

Ivanov, I.K.^1 ; Dimitrov, P.D.^1

Faculty of Physics, University of Plovdiv, 24 Tzar Assen Str., Plovdiv

4000, Bulgaria^1

关键词: Complex vectors;    Different layers;    Effective index;    Efficient numerical method;    Multilayer waveguides;    Multilayered waveguides;    Wave configurations;    Waveguide systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/794/1/012028/pdf
DOI  :  10.1088/1742-6596/794/1/012028

来源: IOP

【 摘 要 】

A fast and efficient numerical method for finding the modes of a multilayered waveguide is proposed. Using the complex vector of the Riemann-Silberstein has resulted in a reduction of the order of the differential equations describing the passage of light through the different layers, as well as a double reduction of the searched variables. The approximation of the differential equations is made by the method of Galyorkin by a suitable choice of the base functions. The calculation of the effective indices and their corresponding wave configurations is realized by the inverse-shifting power method with Rayleigh's quantity. The method was successfully applied waveguide systems, generating values close in the effective indices.