This paper discusses modern applications for high performance analog and hybrid computer. In the first part, we do a theoretical prediction concerning the properties of these machines. In the second part, we compare such a computer against a standard laptop CPU. We find that the even a rather simple analog computer is actually on a par. In the third part, we give an outlook how future highly integrated analog computers could be used to tackle very large computational problems.

In high-frequency technology, devices for filtering signals in the frequency domain are often based on resonant structures. As a result, the physical dimensions of a filter generally increase with decreasing frequency of operation. In this work, bandstop filters are built from special resonant elements with small physical dimensions to reduce the filter size. The small sizes result from the large permittivity of the used ceramic, increasing the electrical length of the resonant elements.