Describing supercontinuum noise and rogue wave statistics using higher-order moments

ST Sørensen, O Bang, B Wetzel, JM Dudley - Optics Communications, 2012 - Elsevier
Optics Communications, 2012Elsevier
We show that the noise properties of fiber supercontinuum generation and the appearance
of long-tailed “rogue wave” statistics can be accurately quantified using statistical higher-
order central moments. Statistical measures of skew and kurtosis, as well as the coefficient
of variation provide improved insight into the nature of spectral fluctuations across the
supercontinuum and allow regions of long-tailed statistics to be clearly identified. These
moments–that depend only on analyzing intensity fluctuations–provide a complementary …
We show that the noise properties of fiber supercontinuum generation and the appearance of long-tailed “rogue wave” statistics can be accurately quantified using statistical higher-order central moments. Statistical measures of skew and kurtosis, as well as the coefficient of variation provide improved insight into the nature of spectral fluctuations across the supercontinuum and allow regions of long-tailed statistics to be clearly identified. These moments – that depend only on analyzing intensity fluctuations – provide a complementary tool to phase-dependent coherence measures to interpret supercontinuum noise.
Elsevier
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