Operator Methods in Electromagnetic Field TheoryMicrowave Research Institute, Polytechnic Institute of Brooklyn, 1957 - Eigenvectors |
Contents
OPERATOR METHODS | 1 |
The Role of Spin Operators in the Solution of | 2 |
2 The Total Field Guided Modes Six Vector Modes | 8 |
15 other sections not shown
Common terms and phrases
adjoint eigenvector amplitude coefficients anisotropy boundary conditions closed sheath wall completeness relations contributions conventional waveguides degenerate eigenvalues discussion distinguished dyads eigen eigenvalue problem eigenvectors associated eigenvectors of IL)² electric and magnetic element employed equation 11 equations 20 equivalent evident extraordinary modes field components H modes hermitian inner product identical identifications imaginary eigenvalues implies Introduction isotropic media LI)² longitudinal power flow magnetic fields magnetic walls modal fields modal representations non-degenerate normalization constants Note obtain odd ordinary modes open waveguides orthogonality properties orthogonality statements pair parallel plate waveguide projection operators readily verified real eigenvalue reflection symmetry satisfy scalar mode functions Section sin qy solutions summation symmetric inner product Table tion transpose eigenvector transverse electric transverse modal indices uniform cylindrical waveguide Va(z vectors waveguides bounded yields α α αβ τα