Based on the wave theory of light and taken the random polarizations of sig
nal and crosstalk into consideration, bit error rate (BER) and power penalt
ies (PP) of optical cross-connects are calculated using the so-called saddl
epoint approximation which is improved. The calculated results agree well w
ith the results of experiment and Gauss approximation, shown highly calcula
ted precision of the improved saddlepoint approximation. We also show that
BER and PP for systems with random-polarizations are much smaller than that
for systems with matched-polarizations when the number N of crosstalk is l
arge, and the conclusion of near-worst-case operation is true only for N<3,
so the impact of random signal and crosstalk polarizations on optical cros
s-connects must be considered in the design for lightwave networks.