Rigorous methods for the study of the propagation of electromagnetic waves in periodic wave-guides. (Méthode rigoureuse pour l’étude de la propagation des ondes électromagnétiques dans les guides périodiques.) (French) Zbl 1043.78541

Amri, Abdelkader; Chandezon, J.; Cornet, G.

Can. J. Phys. 61, No. 9, 1311-1323 (1983).

Summary: We propose an exact method for studying electromagnetic propagation in perfectly conducting periodical wave-guides with glide reflection symmetry. Maxwell’s equations, written in a covariant form, are solved in a nonrectangular coordinate system in order to satisfy the boundary conditions. As a result, the dispersion (Brillouin) diagrams are given by the eigenvalues of a matrix which characterizes the waveguide, and the eigenvectors of this matrix determine the components of the electromagnetic field. Computed and measured results are compared for an ‘echelette’ wave-guide with glide reflection symmetry.

MSC:

78A50	Antennas, waveguides in optics and electromagnetic theory
78-04	Software, source code, etc. for problems pertaining to optics and electromagnetic theory