“Mathematical Theory of Laminated Transmission Lines—Part I”, 1952-09 (; backlinks):
A mathematical analysis is given of the low-loss, broad-band, laminated transmission lines proposed by A. M. Clogston, including both idealized parallel-plane lines and coaxial cables.
Part I deals with “Clogston 1” lines, which have laminated conductors with a dielectric, chosen to provide the proper phase velocity for waves on the line, filling the space between the conductors.
Part II will treat lines having an arbitrary fraction of their Mai volume filled with laminations and the rest with dielectric, and will be concerned in particular with “Clogston 2” lines, in which the entire propagation space is occupied by laminated material.
The electromagnetic problem is first formulated in general terms, and then specialized to yield detailed results. The major theoretical questions treated include the determination of the propagation constants and the fields of the principal mode and the higher modes in laminated transmission lines, the choice of optimum proportions for these lines, the calculation of the frequency dependence of attenuation due to the finite thickness of the laminae, the increase in loss caused by improper phase velocity (dielectric mismatch) in Clogston 1 lines and by nonuniformity of the laminated material in Clogston 2 lines, and the effects of dielectric and magnetic dissipation.