Beam propagation in nonlinear multimode interference waveguide

Gangjun Liu, Bin Ming Liang, Qu Li, Guo Liang Jin

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A variational technique is introduced to analyse the beam propagation features in nonlinear multimode interference. The differential equations for beam width and beam centre are given by the variational method. The steady-state solution of the differential equations is analysed. Detailed features of the nonlinear multimode interference when the input beam centre is at the centre and off the centre are investigated. It is found that, when the input power is high enough that the beam can be looked at as an integer, the beam will bend and experiences a zigzag path. These features are power dependent. Some results of the variational method are verified by a numerical method.

Original languageEnglish (US)
Pages (from-to)457-462
Number of pages6
JournalJournal of Optics A: Pure and Applied Optics
Volume7
Issue number9
DOIs
StatePublished - Sep 1 2005
Externally publishedYes

Fingerprint

Waveguides
Differential equations
waveguides
Variational techniques
interference
propagation
Numerical methods
differential equations
integers

Keywords

  • Multimode waveguides
  • Optical propagation in nonlinear media
  • Variational methods

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Beam propagation in nonlinear multimode interference waveguide. / Liu, Gangjun; Liang, Bin Ming; Li, Qu; Jin, Guo Liang.

In: Journal of Optics A: Pure and Applied Optics, Vol. 7, No. 9, 01.09.2005, p. 457-462.

Research output: Contribution to journalArticle

Liu, Gangjun ; Liang, Bin Ming ; Li, Qu ; Jin, Guo Liang. / Beam propagation in nonlinear multimode interference waveguide. In: Journal of Optics A: Pure and Applied Optics. 2005 ; Vol. 7, No. 9. pp. 457-462.
@article{9eaf033d2b854855b6542d09a66c0ef3,
title = "Beam propagation in nonlinear multimode interference waveguide",
abstract = "A variational technique is introduced to analyse the beam propagation features in nonlinear multimode interference. The differential equations for beam width and beam centre are given by the variational method. The steady-state solution of the differential equations is analysed. Detailed features of the nonlinear multimode interference when the input beam centre is at the centre and off the centre are investigated. It is found that, when the input power is high enough that the beam can be looked at as an integer, the beam will bend and experiences a zigzag path. These features are power dependent. Some results of the variational method are verified by a numerical method.",
keywords = "Multimode waveguides, Optical propagation in nonlinear media, Variational methods",
author = "Gangjun Liu and Liang, {Bin Ming} and Qu Li and Jin, {Guo Liang}",
year = "2005",
month = "9",
day = "1",
doi = "10.1088/1464-4258/7/9/003",
language = "English (US)",
volume = "7",
pages = "457--462",
journal = "Journal of Optics",
issn = "2040-8978",
publisher = "IOP Publishing Ltd.",
number = "9",

}

TY - JOUR

T1 - Beam propagation in nonlinear multimode interference waveguide

AU - Liu, Gangjun

AU - Liang, Bin Ming

AU - Li, Qu

AU - Jin, Guo Liang

PY - 2005/9/1

Y1 - 2005/9/1

N2 - A variational technique is introduced to analyse the beam propagation features in nonlinear multimode interference. The differential equations for beam width and beam centre are given by the variational method. The steady-state solution of the differential equations is analysed. Detailed features of the nonlinear multimode interference when the input beam centre is at the centre and off the centre are investigated. It is found that, when the input power is high enough that the beam can be looked at as an integer, the beam will bend and experiences a zigzag path. These features are power dependent. Some results of the variational method are verified by a numerical method.

AB - A variational technique is introduced to analyse the beam propagation features in nonlinear multimode interference. The differential equations for beam width and beam centre are given by the variational method. The steady-state solution of the differential equations is analysed. Detailed features of the nonlinear multimode interference when the input beam centre is at the centre and off the centre are investigated. It is found that, when the input power is high enough that the beam can be looked at as an integer, the beam will bend and experiences a zigzag path. These features are power dependent. Some results of the variational method are verified by a numerical method.

KW - Multimode waveguides

KW - Optical propagation in nonlinear media

KW - Variational methods

UR - http://www.scopus.com/inward/record.url?scp=23844527459&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23844527459&partnerID=8YFLogxK

U2 - 10.1088/1464-4258/7/9/003

DO - 10.1088/1464-4258/7/9/003

M3 - Article

AN - SCOPUS:23844527459

VL - 7

SP - 457

EP - 462

JO - Journal of Optics

JF - Journal of Optics

SN - 2040-8978

IS - 9

ER -