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

Simon Toft Sørensen; Ole Bang; Benjamin Wetzel; John M. Dudley

doi:10.1016/j.optcom.2012.01.030

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

Simon Toft Sørensen, Ole Bang, Benjamin Wetzel, John M. Dudley

Université de Franche-Comté

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

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.

Original language	English
Journal	Optics Communications
Volume	285
Issue number	9
Pages (from-to)	2451-2455
ISSN	0030-4018
DOIs	https://doi.org/10.1016/j.optcom.2012.01.030
Publication status	Published - 2012

Keywords

Supercontinuum generation
Higher-order central moments
Rogue waves
Extreme events
Spectral coherence

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abstract = "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.",

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AU - Bang, Ole

AU - Wetzel, Benjamin

AU - Dudley, John M.

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N2 - 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.

AB - 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.

KW - Supercontinuum generation

KW - Higher-order central moments

KW - Rogue waves

KW - Extreme events

KW - Spectral coherence

U2 - 10.1016/j.optcom.2012.01.030

DO - 10.1016/j.optcom.2012.01.030

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EP - 2455

JO - Optics Communications

JF - Optics Communications

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ER -

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

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Keywords

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