Analytical Mode Distributions and Resonant Frequencies in Ladder Networks Used in Power Combining Oscillator Arrays


Department of Electrical Engineering,Sharif University of Technology


An analysis of resonant modes in ladder networks is performed using di erence equations. Linear
and loop con gurations are studied and analytical relations are derived for the mode distributions
and resonant frequencies of these networks, having arbitrary elements. Furthermore, it is shown
that a) Modes with an exponential distribution along network nodes may exist in some cases and
b) The mode distributions in loop networks are independent of network elements. Finally, a simple
criterion is obtained for a loop structure to control the spacing between resonant frequencies.