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Ergodic and non-ergodic regimes in temporal laser speckle imaging

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Abstract

The non-ergodicity problem of temporal averaging in the laser speckle contrast imaging (LSCI) is discussed both theoretically and numerically. We demonstrate that temporal speckle statistics assessed within a finite time window might differ from the statistics of the speckle ensemble. The dependence of temporal speckle contrast on sample dynamics is non-monotonic and demonstrates regimes of negative (ergodic), as well as positive correlations with dynamics (non-ergodic). The ergodic regime is similar to an ensemble (spatial) averaging case and is typically assumed for interpretation of LSCI measurements. The positive relation in the non-ergodic regime is an artifact of temporal statistics which we further quantify and describe the transition between two regimes.

© 2017 Optical Society of America

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