Estimation of heavy tails in optical non-linear processes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73606903" target="_blank" >RIV/61989592:15310/21:73606903 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1367-2630/abe442/pdf" target="_blank" >https://iopscience.iop.org/article/10.1088/1367-2630/abe442/pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1367-2630/abe442" target="_blank" >10.1088/1367-2630/abe442</a>

Result language
angličtina
Original language name
Estimation of heavy tails in optical non-linear processes
Original language description
In optical non-linear processes, rogue waves can be observed, which can be mathematically described by heavy-tailed distributions. These distributions are special since the probability of registering extremely high intensities is significantly higher than for the exponential distribution, which is most commonly observed in statistical and quantum optics. Our work provides a practical overview of the generic statistics toolkit concerning heavy-tailed distributions and proposes methods to deal with issues specific to non-linear optics. We take a closer look at supercontinuum generation, where rogue waves were already observed. We propose modifications to the Hill estimator to deal with detector saturation as well as corrections introduced by pumping the process by bright squeezed vacuum. The suggested methodology facilitates statistically reliable observation of heavy-tailed distribution in non-linear optics, nano-optics, atomic, solid-state processes, and optomechanics.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10306 - Optics (including laser optics and quantum optics)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)