Effects of higher order nonlinearities on modulational instability in nonlinear oppositely directed coupler

A. Mohamadou, P. H. Tatsing, C. G. Latchio Tiofack, C. B. Tabi, T. C. Kofane

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We are motivated by recent studies in medium formed by two tunnel-coupled waveguides. One of the waveguides is manufactured from an ordinary dielectric, while the second has negative refraction. We present an investigation of the gain spectrum permitting modulation instability in the nonlinear optical coupler with a negative-index metamaterial channel whose non-linear response includes third- and fifth-order terms. The principal motivation for our analysis stems from the impact of the inevitable presence of the effective cubic-quintic nonlinearity. We emphasize the influence of higher order nonlinear terms, over the MI phenomena, and the outcome of its development achieved by using linear stability analysis. Gain spectrum investigation has been carried out for both anomalous and normal dispersion regime in the focusing and defocusing cases of nonlinearity and near-zero dispersion regime where higher order linear dispersive effects emerge. Our results show that the MI gain spectra consist of multiple spectral region which are symmetric to the zero point. Moreover, some spectra have a high cut-off frequency but a narrow spectral width, which is obviously beneficial to the generation of high-repetition-rate pulse trains.

Original languageEnglish
Pages (from-to)1670-1678
Number of pages9
JournalJournal of Modern Optics
Volume61
Issue number20
DOIs
Publication statusPublished - Nov 28 2014

Fingerprint

couplers
nonlinearity
waveguides
pulse repetition rate
defocusing
stems
tunnels
refraction
cut-off
modulation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Mohamadou, A. ; Tatsing, P. H. ; Latchio Tiofack, C. G. ; Tabi, C. B. ; Kofane, T. C. / Effects of higher order nonlinearities on modulational instability in nonlinear oppositely directed coupler. In: Journal of Modern Optics. 2014 ; Vol. 61, No. 20. pp. 1670-1678.
@article{084363250b9a491eac9449266fd9b82c,
title = "Effects of higher order nonlinearities on modulational instability in nonlinear oppositely directed coupler",
abstract = "We are motivated by recent studies in medium formed by two tunnel-coupled waveguides. One of the waveguides is manufactured from an ordinary dielectric, while the second has negative refraction. We present an investigation of the gain spectrum permitting modulation instability in the nonlinear optical coupler with a negative-index metamaterial channel whose non-linear response includes third- and fifth-order terms. The principal motivation for our analysis stems from the impact of the inevitable presence of the effective cubic-quintic nonlinearity. We emphasize the influence of higher order nonlinear terms, over the MI phenomena, and the outcome of its development achieved by using linear stability analysis. Gain spectrum investigation has been carried out for both anomalous and normal dispersion regime in the focusing and defocusing cases of nonlinearity and near-zero dispersion regime where higher order linear dispersive effects emerge. Our results show that the MI gain spectra consist of multiple spectral region which are symmetric to the zero point. Moreover, some spectra have a high cut-off frequency but a narrow spectral width, which is obviously beneficial to the generation of high-repetition-rate pulse trains.",
author = "A. Mohamadou and Tatsing, {P. H.} and {Latchio Tiofack}, {C. G.} and Tabi, {C. B.} and Kofane, {T. C.}",
year = "2014",
month = "11",
day = "28",
doi = "10.1080/09500340.2014.949320",
language = "English",
volume = "61",
pages = "1670--1678",
journal = "Journal of Modern Optics",
issn = "0950-0340",
publisher = "Taylor and Francis Ltd.",
number = "20",

}

Effects of higher order nonlinearities on modulational instability in nonlinear oppositely directed coupler. / Mohamadou, A.; Tatsing, P. H.; Latchio Tiofack, C. G.; Tabi, C. B.; Kofane, T. C.

In: Journal of Modern Optics, Vol. 61, No. 20, 28.11.2014, p. 1670-1678.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Effects of higher order nonlinearities on modulational instability in nonlinear oppositely directed coupler

AU - Mohamadou, A.

AU - Tatsing, P. H.

AU - Latchio Tiofack, C. G.

AU - Tabi, C. B.

AU - Kofane, T. C.

PY - 2014/11/28

Y1 - 2014/11/28

N2 - We are motivated by recent studies in medium formed by two tunnel-coupled waveguides. One of the waveguides is manufactured from an ordinary dielectric, while the second has negative refraction. We present an investigation of the gain spectrum permitting modulation instability in the nonlinear optical coupler with a negative-index metamaterial channel whose non-linear response includes third- and fifth-order terms. The principal motivation for our analysis stems from the impact of the inevitable presence of the effective cubic-quintic nonlinearity. We emphasize the influence of higher order nonlinear terms, over the MI phenomena, and the outcome of its development achieved by using linear stability analysis. Gain spectrum investigation has been carried out for both anomalous and normal dispersion regime in the focusing and defocusing cases of nonlinearity and near-zero dispersion regime where higher order linear dispersive effects emerge. Our results show that the MI gain spectra consist of multiple spectral region which are symmetric to the zero point. Moreover, some spectra have a high cut-off frequency but a narrow spectral width, which is obviously beneficial to the generation of high-repetition-rate pulse trains.

AB - We are motivated by recent studies in medium formed by two tunnel-coupled waveguides. One of the waveguides is manufactured from an ordinary dielectric, while the second has negative refraction. We present an investigation of the gain spectrum permitting modulation instability in the nonlinear optical coupler with a negative-index metamaterial channel whose non-linear response includes third- and fifth-order terms. The principal motivation for our analysis stems from the impact of the inevitable presence of the effective cubic-quintic nonlinearity. We emphasize the influence of higher order nonlinear terms, over the MI phenomena, and the outcome of its development achieved by using linear stability analysis. Gain spectrum investigation has been carried out for both anomalous and normal dispersion regime in the focusing and defocusing cases of nonlinearity and near-zero dispersion regime where higher order linear dispersive effects emerge. Our results show that the MI gain spectra consist of multiple spectral region which are symmetric to the zero point. Moreover, some spectra have a high cut-off frequency but a narrow spectral width, which is obviously beneficial to the generation of high-repetition-rate pulse trains.

UR - http://www.scopus.com/inward/record.url?scp=84907833411&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907833411&partnerID=8YFLogxK

U2 - 10.1080/09500340.2014.949320

DO - 10.1080/09500340.2014.949320

M3 - Article

AN - SCOPUS:84907833411

VL - 61

SP - 1670

EP - 1678

JO - Journal of Modern Optics

JF - Journal of Modern Optics

SN - 0950-0340

IS - 20

ER -