Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures

Lendert Gelens; Guy Van Der Sande; Philippe Tassin; Mustapha Tlidi; Pascal Kockaert; D. Gomilla; Irina Veretennicoff; Jan Danckaert

Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures

Lendert Gelens, Guy Van Der Sande, Philippe Tassin, Mustapha Tlidi, Pascal Kockaert, D. Gomilla, Irina Veretennicoff, Jan Danckaert

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

57 Citations (Scopus)

Abstract

In order to investigate the size limit of spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes another limit on the width of localized structures going beyond the traditional diffraction limit.

Original language	English
Pages (from-to)	63812
Number of pages	4
Journal	Physical Review A
Volume	75
Publication status	Published - 13 Jun 2007

Keywords

optics
photonics
physics
diffraction management
nonlinear optics
left-handed materials
pattern formation
cavity soliton
dissipative structures
localized structures

Access to Document

http://link.aps.org/doi/10.1103/PhysRevA.75.063812

OZR1282: Metamaterials for novel photonic components: left-handed materials and quantum dots
Tassin, P. & Veretennicoff, I.
1/01/06 → 31/12/08
Project: Fundamental
FWOTM363: Metamaterials for novel photonic components : left-handed materials and quantum dots.
Veretennicoff, I. & Tassin, P.
1/10/05 → 30/09/09
Project: Fundamental

Cite this

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title = "Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures",

abstract = "In order to investigate the size limit of spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes another limit on the width of localized structures going beyond the traditional diffraction limit.",

keywords = "optics, photonics, physics, diffraction management, nonlinear optics, left-handed materials, pattern formation, cavity soliton, dissipative structures, localized structures",

author = "Lendert Gelens and {Van Der Sande}, Guy and Philippe Tassin and Mustapha Tlidi and Pascal Kockaert and D. Gomilla and Irina Veretennicoff and Jan Danckaert",

year = "2007",

month = jun,

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language = "English",

volume = "75",

pages = "63812",

journal = "Physical Review A",

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publisher = "American Physical Society",

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T1 - Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures

AU - Gelens, Lendert

AU - Van Der Sande, Guy

AU - Tassin, Philippe

AU - Tlidi, Mustapha

AU - Kockaert, Pascal

AU - Gomilla, D.

AU - Veretennicoff, Irina

AU - Danckaert, Jan

PY - 2007/6/13

Y1 - 2007/6/13

N2 - In order to investigate the size limit of spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes another limit on the width of localized structures going beyond the traditional diffraction limit.

AB - In order to investigate the size limit of spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes another limit on the width of localized structures going beyond the traditional diffraction limit.

KW - optics

KW - photonics

KW - physics

KW - diffraction management

KW - nonlinear optics

KW - left-handed materials

KW - pattern formation

KW - cavity soliton

KW - dissipative structures

KW - localized structures

M3 - Article

SN - 1050-2947

VL - 75

SP - 63812

JO - Physical Review A

JF - Physical Review A

ER -

Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures

Abstract

Keywords

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Projects

OZR1282: Metamaterials for novel photonic components: left-handed materials and quantum dots

FWOTM363: Metamaterials for novel photonic components : left-handed materials and quantum dots.

Cite this