Mathematical Theory of Laminated Transmission Lines - Part II

V I I I . Principal Mode in Clogston 2 Lines with Infinitesimally Thin Laminae IX. Partially Filled Clogston Lines. Optimum Proportions for Principal Mode' X. Higher Modes in Clogston Lines X I . Effect of Finite Lamina Thickness. Frequency Dependence of Attenuation in Clogston 2 Lines X I I . Effect of Nonuniformity of Laminated Medium X I I I . Dielectric and Magnetic Losses in Clogston 2 Lines Appendix I I : Optimum Proportions for Heavily Loaded Clogston Cables Appendix I I I : Power Dissipation in a Hollow Conducting Cylinder. VIII. PRINCIPAL VHIN MODE IN CLOGSTON 2 LINES WITH 1121 1133 1150 1163 1181 1201 1203 1204 INFINITESIMALLY LAMINAE Iii Part I* of this paper we have set up a general mathematical framework for the analysis of Clogston-type laminated transmission lines and have applied it to Clogston 1 lines having laminated conductors, but with the total thickness of the laminations small compared to the overall dimensions of the line, so that most of the forward power flowtakes place in the main dielectric. In Part II we shall consider Clogston 2 lines, which instead of containing a main dielectric have the propagation space entirely filled with laminations; and we shall also derive results, in Sections IX and X, for the general laminated transmission * S. P. Morgan, Jr., Bell System Tech. J., 31, 883 (1952). Since the two parts of the paper are very closely related, the sections, equations, figures, and footnotes have been numbered consecutively throughout the whole paper.