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 mø = L1/½L1+ L2cot ø/2 where m is the number of stages in the ladder and L1is the series inductance and L2is 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 τ = ½m2L1/RThe above equations can be used as an approximation when m > 20 L2/L1For values m2/L1direct computation should be used.
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R. W. Ahrons (1965) studied this question.
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