Uncertainty relation in fluctuations in the space and time domains in disordered optical media

We confirmed that the uncertainty relation between time and energy is established in fluctuations in the space and time domains that appear when coherent optical pulses propagate through a disordered static medium. The widths of temporal and spectral correlation functions of these fluctuations satisfy the relation $\delta \tau \delta \omega \sim 1$, that is, $\delta \tau \delta E\sim \hslash$. The number of fluctuations is discussed on the basis of the uncertainty relation.