The method is implemented in the symbolic-numeric form using the Maple computer algebra system. The coefficient matrices of the system of differential equations and boundary conditions are calculated symbolically, and then the obtained boundary-value problem is solved numerically using the finite difference method. The chosen coordinate functions of Kantorovich expansions provide good conditionality of the coefficient matrices. The numerical experiment simulating the propagation of guided modes in the open waveguide transition confirms the validity of the method proposed to solve the problem. |
ACCESS THE FULL ARTICLE
No SPIE Account? Create one
Waveguides
Computing systems
Matrices
Differential equations
Condition numbers
Finite difference methods
Wave propagation