Title :
A sparse finite element method for modeling evanescent modes in the stopband of periodic structures
Author :
Bostani, A. ; Webb, J.P.
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, QC, Canada
Abstract :
A novel approach is presented to solving an algebraic problem related to complex finite element analysis of periodic structures. This approach turns the quadratic eigenproblem with sparse and singular matrices into a standard eigenproblem of the same dimension and also exploits the sparsity of matrices which reduces the computation time enormously. An algorithm is also proposed that generates the dispersion diagram automatically.
Keywords :
eigenvalues and eigenfunctions; finite element analysis; periodic structures; sparse matrices; algebraic problem; complex finite element analysis; evanescent modes; periodic structures; quadratic eigenproblem; singular matrices; sparse finite element method; sparse matrices; standard eigenproblem; stopband; Eigenvalues and eigenfunctions; Finite element methods; Frequency; Mathematical model; Microwave theory and techniques; Periodic structures; Propagation constant; Sparse matrices; Transmission line matrix methods; Transmission line theory;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481348
