On finite element methods for inhomogeneous dielectric waveguides. (English) Zbl 1052.78016
The authors studied the problem of computing electromagnetic guided waves in a close inhomogeneous dielectric three-dimensional waveguide at a given frequency. The key idea of the method is to add the term \(\Lambda E\) for \(\Lambda> 0\) on both sides of the Maxwell equation.
Then they obtain a sesquilinear form which is autonomous and verify two inf-sup conditions. Then they present several numerous experiments and show the limits of their method.
Then they obtain a sesquilinear form which is autonomous and verify two inf-sup conditions. Then they present several numerous experiments and show the limits of their method.
Reviewer: Christian Daveau (Orsay)
MSC:
78M10 | Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory |
65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
35L15 | Initial value problems for second-order hyperbolic equations |
78A50 | Antennas, waveguides in optics and electromagnetic theory |