Conversion of Maxwell's Equations into Generalized Telegraphist's Equations

996 1003 1006 1009 1013 1016 1017 1022 1024 1029 1029 1030 1034 1034 1037 1039 1040 1011 1012 1001 For certain structures Maxwell's equations together with boundary conditions can be converted into exact or nearly exact equations similar to telegraphist's equations for coupled transmission lines. These structures include conventional dissipative wire transmission lines, dissipative GENERALIZED TELEGRAPHIST'S EQUATIONS 91)7 coaxial conductors, dissipative waveguides of either constant or variable cross-section, bent waveguides, plane and curved earth, etc. The coefficients in these equations play the role of "distributed circuit parameters;" but they are obtained from Maxwell's equations and boundary conditions rather than from consideration of static electric and magnetic fields. The distributed circuit parameters of some structures may be interpreted as distributed self and mutual series impedances and shunt admittances. But, in general, there are other distributed parameters which may be called "voltage and current transfer coefficients." The general equations are thus of the same form as the equations previously obtained by the author for waveguides of constant cross-section with perfectly conducting walls and filled with nonhomogeneous dielectric and magnetic media. The possibility of converting Maxwell's equations into generalized telegraphist's is important from theoretical and practical points of view. This possibility removes a nagging feeling that the classical telegraphist's equations, useful as they are in practice, are fundamentally inconsistent with Maxwell's field theory.