NDLI: Zero-dimensional limit of the two-dimensional Lugiato-Lefever equation

Content Provider	Springer Nature Link
Author	Cardoso, Wesley B. Salasnich, Luca Malomed, Boris A.
Copyright Year	2017
Abstract	We study effects of tight harmonic-oscillator confinement on the electromagnetic field in a laser cavity by solving the two-dimensional Lugiato-Lefever (2D LL) equation, taking into account self-focusing or defocusing nonlinearity, losses, pump, and the trapping potential. Tightly confined (quasi-zero-dimensional) optical modes (pixels), produced by this model, are analyzed by means of the variational approximation, which provides a qualitative picture of the ensuing phenomena. This is followed by systematic simulations of the time-dependent 2D LL equation, which reveal the shape, stability, and dynamical behavior of the resulting localized patterns. In this way, we produce stability diagrams for the expected pixels. Then, we consider the LL model with the vortical pump, showing that it can produce stable pixels with embedded vorticity (vortex solitons) in remarkably broad stability areas. Alongside confined vortices with the simple single-ring structure, in the latter case the LL model gives rise to stable multi-ring states, with a spiral phase field. In addition to the numerical results, a qualitatively correct description of the vortex solitons is provided by the Thomas-Fermi approximation.
Starting Page	1
Ending Page	10
Page Count	10
File Format	PDF
ISSN	14346060
Journal	The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics
Volume Number	71
Issue Number	5
e-ISSN	14346079
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-05-18
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Atomic, Molecular, Optical and Plasma Physics Physical Chemistry Quantum Physics Quantum Information Technology, Spintronics Spectroscopy/Spectrometry Applications of Nonlinear Dynamics and Chaos Theory
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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