Abstract
We investigate the effects of a nonlinearity with a finite response time, combined with group-velocity dispersion and self-phase modulation, on the parametric amplification and modulational instability exhibited by light propagating in a nonlinear directional coupler. A linear-stability analysis of the nonlinear coupled-mode equations describing propagation in the coupler furnishes simple general expressions for the bandwidth of the spatial growth rate of an initially weak modulation for the case in which the carrier propagates in either the symmetric or the antisymmetric mode of the coupler. New types of scalar and vectorial modulational instabilities of the nonlinear Schrodinger equation are predicted, in both the normal- and the anomalous-dispersion regimes. The physical origin of these instabilities is the interplay among linear coupling, parametric four-photon mixing, and Raman scattering.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 889-900 |
| Number of pages | 12 |
| Journal | Journal of the Optical Society of America B: Optical Physics |
| Volume | 6 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1989 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics, and Optics
Cite this
Parametric amplification and modulational instabilities in dispersive nonlinear directional couplers with relaxing nonlinearity. / Trillo, S.; Wabnitz, S.; Stegeman, G. I.; Wright, Ewan M.
In: Journal of the Optical Society of America B: Optical Physics, Vol. 6, No. 5, 1989, p. 889-900.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Parametric amplification and modulational instabilities in dispersive nonlinear directional couplers with relaxing nonlinearity
AU - Trillo, S.
AU - Wabnitz, S.
AU - Stegeman, G. I.
AU - Wright, Ewan M
PY - 1989
Y1 - 1989
N2 - We investigate the effects of a nonlinearity with a finite response time, combined with group-velocity dispersion and self-phase modulation, on the parametric amplification and modulational instability exhibited by light propagating in a nonlinear directional coupler. A linear-stability analysis of the nonlinear coupled-mode equations describing propagation in the coupler furnishes simple general expressions for the bandwidth of the spatial growth rate of an initially weak modulation for the case in which the carrier propagates in either the symmetric or the antisymmetric mode of the coupler. New types of scalar and vectorial modulational instabilities of the nonlinear Schrodinger equation are predicted, in both the normal- and the anomalous-dispersion regimes. The physical origin of these instabilities is the interplay among linear coupling, parametric four-photon mixing, and Raman scattering.
AB - We investigate the effects of a nonlinearity with a finite response time, combined with group-velocity dispersion and self-phase modulation, on the parametric amplification and modulational instability exhibited by light propagating in a nonlinear directional coupler. A linear-stability analysis of the nonlinear coupled-mode equations describing propagation in the coupler furnishes simple general expressions for the bandwidth of the spatial growth rate of an initially weak modulation for the case in which the carrier propagates in either the symmetric or the antisymmetric mode of the coupler. New types of scalar and vectorial modulational instabilities of the nonlinear Schrodinger equation are predicted, in both the normal- and the anomalous-dispersion regimes. The physical origin of these instabilities is the interplay among linear coupling, parametric four-photon mixing, and Raman scattering.
UR - http://www.scopus.com/inward/record.url?scp=21044436595&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=21044436595&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.6.000889
DO - 10.1364/JOSAB.6.000889
M3 - Article
AN - SCOPUS:21044436595
VL - 6
SP - 889
EP - 900
JO - Journal of the Optical Society of America B: Optical Physics
JF - Journal of the Optical Society of America B: Optical Physics
SN - 0740-3224
IS - 5
ER -