An Adaptive Inverse Iteration Fem for the Inhomogeneous Dielectric Waveguides
نویسندگان
چکیده
We introduce an adaptive finite element method for computing electromagnetic guided waves in a closed, inhomogeneous, pillared three-dimensional waveguide at a given frequency based on the inverse iteration method. The problem is formulated as a generalized eigenvalue problems. By modifying the exact inverse iteration algorithm for the eigenvalue problem, we design a new adaptive inverse iteration finite element algorithm. Adaptive finite element methods based on a posteriori error estimate are known to be successful in resolving singularities of eigenfunctions which deteriorate the finite element convergence. We construct a posteriori error estimator for the electromagnetic guided waves problem. Numerical results are reported to illustrate the quasi-optimal performance of our adaptive inverse iteration finite element method. Mathematics subject classification: 65N30, 65N25, 78A50.
منابع مشابه
Asymptotic Iteration Method: a Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides
In this paper a novel approach based on Asymptotic Iteration Method (AIM) is presented to solve analytically the light propagation through one-dimensional inhomogeneous slab waveguide. Practically implemented optical slab waveguides based on traditional techniques are usually inhomogeneous and numerical methods are used to obtain guided wave characteristics. In this work, we develop analytical ...
متن کاملVectorial Integrated Finite-Difference Analysis of Dielectric Waveguides
AbstracfAn integrated finite difference approach is formulated for the full vector solution using transverse magnetic field components for dielectric waveguides, which is particularly suitable for nonuniform mesh and internal flux boundary conditions. This approach creates a sparse banded asymmetric matrix. Only few largest positive eigenvalues and the corresponding eigenvectors are calculated ...
متن کاملAnalysis of Multiconductor Quasi-TEM Transmission Lines and Multimode Waveguides
This paper presents an analysis approach of multicondcutor quasi-TEM lines transmission interconnect in a single dielectric region and multimode waveguides using the finite element method (FEM). We illustrate that FEM is suitable and effective as other methods for modeling of interconnecting lines in highspeed digital circuits. We mainly focus on designing of five-conductor transmission lines i...
متن کاملLagrange-type modeling of continuous dielectric permittivity variation in double-higher-order volume integral equation method
A novel double-higher-order entire-domain volume integral equation (VIE) technique for efficient analysis of electromagnetic structures with continuously inhomogeneous dielectric materials is presented. The technique takes advantage of large curved hexahedral discretization elements—enabled by double-higher-order modeling (higher-order modeling of both the geometry and the current)—in applicati...
متن کاملReconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm
The validity of a synthesis of a globally convergent numerical method with the adaptive FEM technique for a coefficient inverse problem is verified on time resolved experimental data. Refractive indices, locations and shapes of dielectric abnormalities are accurately imaged.
متن کامل