Abstract

There are several methods to determine numerically modal spectrum of photonic waveguides. The problem itself can be formulated using appropriate discretisation scheme as a well-known algebraic problem of eigenvalues and eigenvectors. The difficulty consists in the large matrix dimensions which requires special approach to the determination of the eigenvalues and eigenvectors of the sparse matrices and complicates effective calculation due to immense demands on the computer memory. Recently proposed iterative method [1] modified for the use in full vectorial formulation can be efficiently employed. The feasibility of the method together with some improvements will be presented.