Freezing optical rogue waves by Zeno dynamics

Cihan Bayındır; Fatih Ozaydin

doi:10.1016/j.optcom.2017.12.051

Freezing optical rogue waves by Zeno dynamics

Cihan Bayındır, Fatih Ozaydin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev–Peregrine soliton solutions of the nonlinear Schrödinger equation. We show that frequent measurements of the wave inhibits its movement in the observation domain for each of these solutions. We analyze the spectra of the rogue waves under Zeno dynamics. We also analyze the effect of observation frequency on the rogue wave profile and on the probability of lingering of the wave in the observation domain. Our results can find potential applications in optics including nonlinear phenomena.

Original language	English
Pages (from-to)	141-146
Number of pages	6
Journal	Optics Communications
Volume	413
DOIs	https://doi.org/10.1016/j.optcom.2017.12.051
Publication status	Published - 15 Apr 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

Nonlinear optics
Quantum optics
Rogue waves

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10.1016/j.optcom.2017.12.051

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title = "Freezing optical rogue waves by Zeno dynamics",

abstract = "We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev–Peregrine soliton solutions of the nonlinear Schr{\"o}dinger equation. We show that frequent measurements of the wave inhibits its movement in the observation domain for each of these solutions. We analyze the spectra of the rogue waves under Zeno dynamics. We also analyze the effect of observation frequency on the rogue wave profile and on the probability of lingering of the wave in the observation domain. Our results can find potential applications in optics including nonlinear phenomena.",

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author = "Cihan Bayındır and Fatih Ozaydin",

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doi = "10.1016/j.optcom.2017.12.051",

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AU - Bayındır, Cihan

AU - Ozaydin, Fatih

PY - 2018/4/15

Y1 - 2018/4/15

N2 - We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev–Peregrine soliton solutions of the nonlinear Schrödinger equation. We show that frequent measurements of the wave inhibits its movement in the observation domain for each of these solutions. We analyze the spectra of the rogue waves under Zeno dynamics. We also analyze the effect of observation frequency on the rogue wave profile and on the probability of lingering of the wave in the observation domain. Our results can find potential applications in optics including nonlinear phenomena.

AB - We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev–Peregrine soliton solutions of the nonlinear Schrödinger equation. We show that frequent measurements of the wave inhibits its movement in the observation domain for each of these solutions. We analyze the spectra of the rogue waves under Zeno dynamics. We also analyze the effect of observation frequency on the rogue wave profile and on the probability of lingering of the wave in the observation domain. Our results can find potential applications in optics including nonlinear phenomena.

KW - Nonlinear optics

KW - Quantum optics

KW - Rogue waves

UR - http://www.scopus.com/inward/record.url?scp=85039439918&partnerID=8YFLogxK

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DO - 10.1016/j.optcom.2017.12.051

M3 - Article

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SN - 0030-4018

VL - 413

SP - 141

EP - 146

JO - Optics Communications

JF - Optics Communications

ER -

Freezing optical rogue waves by Zeno dynamics

Abstract

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Keywords

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