Abstract
In this paper, we report on the study of the coupled mode equations for nonlinear directional coupler (NLDC) in which both linear coupling coefficient and nonlinear refractive index coefficient are functions of propagation distance. We show, for the first time, to the best of our knowledge, that the equations for the general case can be transformed to those for the NLDC with constant linear coupling coefficient and that they can also be transformed to equations describing NLDC with constant nonlinear refractive index coefficient but extra loss or gain as long as the original nonlinear coefficients are the same for the two constituent waveguides. Combining the two transformations, we conclude that the equations for a general NLDC can be transformed to a conventional NLDC with extra loss or gain as long as the original nonlinear coefficients are the same for the two constituent waveguides. The potential applications of the proposed transformations are also discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 447-451 |
| Number of pages | 5 |
| Journal | Optics Communications |
| Volume | 247 |
| Issue number | 4-6 |
| DOIs | |
| State | Published - Mar 15 2005 |
| Externally published | Yes |
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Keywords
- Nonlinear-waveguides
- Switching-nonlinear optics
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Nonlinear directional coupler with variable coupling coefficient and variable nonlinear refractive index coefficient. / Liang, Binming; Li, Qu; Liu, Gangjun; Jin, Guoliang.
In: Optics Communications, Vol. 247, No. 4-6, 15.03.2005, p. 447-451.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nonlinear directional coupler with variable coupling coefficient and variable nonlinear refractive index coefficient
AU - Liang, Binming
AU - Li, Qu
AU - Liu, Gangjun
AU - Jin, Guoliang
PY - 2005/3/15
Y1 - 2005/3/15
N2 - In this paper, we report on the study of the coupled mode equations for nonlinear directional coupler (NLDC) in which both linear coupling coefficient and nonlinear refractive index coefficient are functions of propagation distance. We show, for the first time, to the best of our knowledge, that the equations for the general case can be transformed to those for the NLDC with constant linear coupling coefficient and that they can also be transformed to equations describing NLDC with constant nonlinear refractive index coefficient but extra loss or gain as long as the original nonlinear coefficients are the same for the two constituent waveguides. Combining the two transformations, we conclude that the equations for a general NLDC can be transformed to a conventional NLDC with extra loss or gain as long as the original nonlinear coefficients are the same for the two constituent waveguides. The potential applications of the proposed transformations are also discussed.
AB - In this paper, we report on the study of the coupled mode equations for nonlinear directional coupler (NLDC) in which both linear coupling coefficient and nonlinear refractive index coefficient are functions of propagation distance. We show, for the first time, to the best of our knowledge, that the equations for the general case can be transformed to those for the NLDC with constant linear coupling coefficient and that they can also be transformed to equations describing NLDC with constant nonlinear refractive index coefficient but extra loss or gain as long as the original nonlinear coefficients are the same for the two constituent waveguides. Combining the two transformations, we conclude that the equations for a general NLDC can be transformed to a conventional NLDC with extra loss or gain as long as the original nonlinear coefficients are the same for the two constituent waveguides. The potential applications of the proposed transformations are also discussed.
KW - Nonlinear-waveguides
KW - Switching-nonlinear optics
UR - http://www.scopus.com/inward/record.url?scp=14844293511&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=14844293511&partnerID=8YFLogxK
U2 - 10.1016/j.optcom.2004.11.073
DO - 10.1016/j.optcom.2004.11.073
M3 - Article
AN - SCOPUS:14844293511
VL - 247
SP - 447
EP - 451
JO - Optics Communications
JF - Optics Communications
SN - 0030-4018
IS - 4-6
ER -