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THE THREEDIMENSIONAL POINT GROUPS
THE ANALYSIS PROBLEM
of the Scattering Matrix
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2-fold rotation axes abstract group circular guide Circular Waveguide co-axial guide commutation relation conjugate subgroups contains corresponding cosets derived subgroups determined diagonal direct sum eigenvalues eigenvectors electrical repre electrical representation Equivalent Point Diagram example group element group multiplication table group of Fig Hence identity incident wave amplitudes Independent Elements intransitive irreducible representations isomorphic junction of circular junctions of co-axial linear combinations matrix elements monomial matrix monomial representation n-fold number of independent orthogonal matrix permutation matrix permutation representations physically realizable point group symmetry previous section real orthogonal form realizable representations reciprocity degeneracy reciprocity symmetry rectangular guide result of symmetry rows scattering matrix sentation set of partners similarity transformation structural representation subgroups of type submatrices symmetrical junction symmetry group symmetry operations symmetry plane tation terminal Theorem 19 three-dimensional point groups transitive junctions unitary unitary matrix variables vectors belonging waveguide