Symmetry properties of lineal operator eigenfunctions defined in bidimensional systems. Application to uniform and homogeneous wavequides

Symmetry properties of the eigenfunctions of lineal operators, associated to bidimensional problems with rotational or reflection symmetries, are analyzed by means of a simple systematic approach which does not have recourse to the usual group theory. An application to the determination of the symmetry properties of electromagnetic waveguides modes, associated to uniform transmission systems, is presented. (author)