Calculations of Speed of Ladder Network for Superconductive Associative Memories

The calculation of the transient response of a ladder network used in superconductive associative memories reduces essentially to finding the roots of the equation tan m¿ = L1/¿L1 + L2 cot ¿/2 where m is the number of stages in the ladder and L1 is the series inductance and L2 is the shunt inductance. This equation is a result of analysis of the equivalent network using a set of difference equations. Computer calculations show the effective time constant of the ladder thus related to memory access time converges to the equation ¿ = ¿m²L1/R The above equations can be used as an approximation when m ≫ 20 L2/L1 For values m≪20L2/L1 direct computation should be used.