Modulation instability in nonlinear media with sine-oscillatory nonlocal response function and pure quartic diffraction

Modulation instability of one-dimensional plane wave is demonstrated in nonlinear Kerr media with sine-oscillatory nonlocal response function and pure quartic diffraction. The growth rate of modulation instability, which depends on the degree of nonlocality, coefficient of quartic diffraction, type...

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Bibliographic Details
Published inScientific reports Vol. 14; no. 1; p. 8961
Main Authors Yang, Yuwen, Shen, Ming
Format Journal Article
LanguageEnglish
Published London Nature Publishing Group UK 18.04.2024
Nature Publishing Group
Nature Portfolio
Subjects
639/624/400/1118
639/624/400/385
Bandwidths
Diffraction
Fourier transforms
Growth rate
Humanities and Social Sciences
Instability
multidisciplinary
Nonlinear systems
Nonlinearity
Ordinary differential equations
Science
Science (multidisciplinary)
Stability analysis
Wave number
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Summary:Modulation instability of one-dimensional plane wave is demonstrated in nonlinear Kerr media with sine-oscillatory nonlocal response function and pure quartic diffraction. The growth rate of modulation instability, which depends on the degree of nonlocality, coefficient of quartic diffraction, type of the nonlinearity and the power of plane wave, is analytically obtained with linear-stability analysis. Different from other nonlocal response functions, the maximum of the growth rate in media with sine-oscillatory nonlocal response function occurs always at a particular wave number. Theoretical results of modulation instability are confirmed numerically with split-step Fourier transform. Modulation instability can be controlled flexibly by adjusting the degree of nonlocality and quartic diffraction.
Bibliography:ObjectType-Article-1
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-024-59722-z