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Over recent years, reverberation chambers have been analyzed by many numerical techniques. This contribution studies how the finite-difference time-domain algorithm converges to the steady state conditions as a function of the cavity Q factor, changing the wall conductivity or the internal lossy media. By lowering the reflection coefficient of the chamber walls, the computation time could be considerably reduced without a significant effect on the field distribution for any analyzed antennas. The field distributions are strongly correlated when the conductivity of the wall is one hundredth of the copper conductivity or greater, whereas when the conductivity is lower the correlation between field distributions is low.