Abstract
A model for the semiconductor optical amplifier (SOA) consisting of two coupled, nonlinear, first-order differential equations is analytically explored on the basis of the geometric theory of singularly perturbed dynamical systems. The value of the control parameter μ, accounting for the stimulated emission, for which the solution exhibits the phenomenon of "canard explosion" is determined depending on the rest of the SOA's parameters. Such value is represented by a power series of a small parameter μ of the singularly perturbed system. An example is considered where the canard explosion is numerically evaluated for a typical set of the SOA's parameters. The importance of rigorous determination of the critical regime in the SOA for optical synchronization and photonic clocking is outlined.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1988-1993 |
| Number of pages | 6 |
| Journal | Journal of the Optical Society of America B: Optical Physics |
| Volume | 28 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2011 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Statistical and Nonlinear Physics
Cite this
Condition for canard explosion in a semiconductor optical amplifier. / Shchepakina, Elena; Korotkova, Olga.
In: Journal of the Optical Society of America B: Optical Physics, Vol. 28, No. 8, 2011, p. 1988-1993.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Condition for canard explosion in a semiconductor optical amplifier
AU - Shchepakina, Elena
AU - Korotkova, Olga
PY - 2011
Y1 - 2011
N2 - A model for the semiconductor optical amplifier (SOA) consisting of two coupled, nonlinear, first-order differential equations is analytically explored on the basis of the geometric theory of singularly perturbed dynamical systems. The value of the control parameter μ, accounting for the stimulated emission, for which the solution exhibits the phenomenon of "canard explosion" is determined depending on the rest of the SOA's parameters. Such value is represented by a power series of a small parameter μ of the singularly perturbed system. An example is considered where the canard explosion is numerically evaluated for a typical set of the SOA's parameters. The importance of rigorous determination of the critical regime in the SOA for optical synchronization and photonic clocking is outlined.
AB - A model for the semiconductor optical amplifier (SOA) consisting of two coupled, nonlinear, first-order differential equations is analytically explored on the basis of the geometric theory of singularly perturbed dynamical systems. The value of the control parameter μ, accounting for the stimulated emission, for which the solution exhibits the phenomenon of "canard explosion" is determined depending on the rest of the SOA's parameters. Such value is represented by a power series of a small parameter μ of the singularly perturbed system. An example is considered where the canard explosion is numerically evaluated for a typical set of the SOA's parameters. The importance of rigorous determination of the critical regime in the SOA for optical synchronization and photonic clocking is outlined.
UR - http://www.scopus.com/inward/record.url?scp=79961065156&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79961065156&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.28.001988
DO - 10.1364/JOSAB.28.001988
M3 - Article
AN - SCOPUS:79961065156
VL - 28
SP - 1988
EP - 1993
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 - 8
ER -