Spatial Dissipative Structures in Passive Optical Systems
Abstract
We consider a nonlinear, passive optical system contained in an appropriate cavity, and driven by a coherent, plane-wave, stationary beam. Under suitable conditions, diffraction gives rise to an instability which leads to the emergence of a stationary spatial dissipative structure in the transverse profile of the transmitted beam.
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In nonlinear optics, the analogous equation is called the Lugiato-Lefever equation, originally formulated in [78] and still a powerful workhorse for optical devices based on Kerr cavity solitons and frequency combs.
“In the nonlinear optics literature, they go under the name of Lugiato-Lefever equation: originally formulated in [78], this equation is still now a powerful workhorse for the description of optical devices based on Kerr cavity solitons and frequency combs [73].”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [78]
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How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
Carusotto, I. (2025) · Comptes Rendus. Physique · doi:10.5802/crphys.258 · Cited by 5 · see citing works
“This equation, originally formulated in [56], is still now a powerful workhorse for the description of optical devices based on Kerr cavity solitons and frequency combs [57].”
- Authors
- Lugiato, L. A., & Lefever, R.
- Affiliations
- Politecnico di Torino (IT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-05-25
- Volume
- 58
- Issue
- 21
- Pages
- 2209-2211
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2042337471
- Cited by
- 1,202
- References
- 0
- Citations by year
- 2026: 55 · 2025: 78 · 2024: 73 · 2023: 67 · 2022: 57 · 2021: 81 · 2020: 55 · 2019: 66 · 2018: 53 · 2017: 82 · 2016: 59 · 2015: 47 · 2014: 53 · 2013: 31 · 2012: 14
- FWCI
- 14.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Semiconductor Lasers and Optical Devices
- Keywords
- dissipative structures, nonlinear optics, optical resonators, transverse beam profile
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