Permeability analysis of magnetic alloy thin films in inductance transmission line

This article reports on a complex permeability (mu(r)=mu(r)'-j mu(r)'') analysis in the range from 50 MHz to 13.5 GHz of magnetic alloy thin films in an inductance transmission line (ITL). The ITL has shell-type closed magnetic circuit structures composed of magnetic films and a conductive line, and the reflection (F) and transmission (T) are measured with a two-port method.,14 is estimated from F and T by analyzing multiple reflections in the ITL, and,mu(r)' is obtained using the Kramers-Kronig relation. The mu(r)-f characteristics for Co-Fe film are confirmed to be in relatively good agreement with results from an impedance measurement and with coupled Landau-Lifschitz and eddy current theories. The applicable conditions of this technique are discussed, and the requirements,ters 2500 and mu(rs)'f(k) << similar to 6500 GHz are derived. (C) 2013 Elsevier B.V. All rights reserved.