Nonlinear photonic crystals near the supercollimation point

Zhiyong Xu; Björn Maes; Xunya Jiang; John D. Joannopoulos; Lluis Torner; Marin Soljačić

doi:10.1364/OL.33.001762

Nonlinear photonic crystals near the supercollimation point

Zhiyong Xu^*, Björn Maes, Xunya Jiang, John D. Joannopoulos, Lluis Torner, Marin Soljačić

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrödinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.

Original language	English
Pages (from-to)	1762-1764
Number of pages	3
Journal	Optics Letters
Volume	33
Issue number	15
DOIs	https://doi.org/10.1364/OL.33.001762
Publication status	Published - 1 Aug 2008
Externally published	Yes

Access to Document

10.1364/OL.33.001762

Cite this

@article{007f39678d114278bfbea0f2ee44053a,

title = "Nonlinear photonic crystals near the supercollimation point",

abstract = "We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schr{\"o}dinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.",

author = "Zhiyong Xu and Bj{\"o}rn Maes and Xunya Jiang and Joannopoulos, {John D.} and Lluis Torner and Marin Solja{\v c}i{\'c}",

year = "2008",

month = aug,

day = "1",

doi = "10.1364/OL.33.001762",

language = "English",

volume = "33",

pages = "1762--1764",

journal = "Optics Letters",

issn = "0146-9592",

publisher = "Optica Publishing Group",

number = "15",

}

TY - JOUR

T1 - Nonlinear photonic crystals near the supercollimation point

AU - Xu, Zhiyong

AU - Maes, Björn

AU - Jiang, Xunya

AU - Joannopoulos, John D.

AU - Torner, Lluis

AU - Soljačić, Marin

PY - 2008/8/1

Y1 - 2008/8/1

N2 - We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrödinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.

AB - We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrödinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.

UR - http://www.scopus.com/inward/record.url?scp=49449118822&partnerID=8YFLogxK

U2 - 10.1364/OL.33.001762

DO - 10.1364/OL.33.001762

M3 - Article

SN - 0146-9592

VL - 33

SP - 1762

EP - 1764

JO - Optics Letters

JF - Optics Letters

IS - 15

ER -

Nonlinear photonic crystals near the supercollimation point

Abstract

Access to Document

Other files and links

Fingerprint

Cite this