Non-Classical Conductor Losses due to Copper Foil Roughness and Treatment
In high speed digital interconnects; signal attenuation is a result of both dielectric losses and conductor losses. Previous
works have showed in detail,the characterization and modeling efforts regarding the impact of dielectric loss in PCBs and
the differences between various dielectric materials. Most high speed characterization modeling efforts have not
encompassed the variations in conductor losses due to variations in copper foil roughness or treatments of copper foil for
adhesion. Several recent publications have reported frequency dependent copper losses that do not follow the classical square
root relationship. This paper presents the results for a set of high frequency loss characterizations across various copper foils
and the impact of the copper roughness on the relationship between conductor loss and frequency. Also discussed in this
paper are the implications in high frequency modeling resulting from non-classical conductor losses and the requirements to
ensure causality in simulation results.