Physics of nonlinear fiber couplers

A. W. Snyder; D. J. Mitchell; L. Poladian; D. R. Rowland; Y. Chen

doi:10.1364/JOSAB.8.002102

Journal of the Optical Society of America B
Vol. 8,
Issue 10,
pp. 2102-2118
(1991)
•https://doi.org/10.1364/JOSAB.8.002102

Physics of nonlinear fiber couplers

A. W. Snyder, D. J. Mitchell, L. Poladian, D. R. Rowland, and Y. Chen

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
A. W. Snyder, D. J. Mitchell, L. Poladian, D. R. Rowland, and Y. Chen, "Physics of nonlinear fiber couplers," J. Opt. Soc. Am. B 8, 2102-2118 (1991)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

A simple qualitative description of nonlinear couplers is presented whereby the maximum and minimum values of core power are immediately apparent from a graphical representation, here called the power flow portrait. Each coupler has a characteristic portrait, revealing its unique physics. We believe that this approach is novel to all branches of nonlinear theory. Full details are given for nonlinear couplers with cores composed of different materials, Kerr law being a special case only. The study is motivated from the familiar perspective of linear couplers and is augmented by a comprehensive quantitative description leading to new analytical results.

Full Article | PDF Article

More Like This

Mismatched nonlinear couplers with saturable nonlinearity

Yijiang Chen
J. Opt. Soc. Am. B 8(5) 986-992 (1991)

Phase-controlled switching in nonlinear multiport fiber couplers

C. Schmidt-Hattenberger, R. Muschall, F. Lederer, and U. Trutschel
J. Opt. Soc. Am. B 10(9) 1592-1599 (1993)

All-optical modulation and switching using a nonlinear-optical directional coupler

Anh Tuan Pham and Le Nguyen Binh
J. Opt. Soc. Am. B 8(9) 1914-1931 (1991)

Previous Article Next Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (15)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (48)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

P₁, P₂	Powers in cores 1 and 2.
P	Total power P = P₁ + P₂ in both cores.
ϕ	Phase difference between core excitations.
β₁, β₂	Propagation constants of modes in cores 1 and 2 in isolation.
${\bar{β}}_{1}, {\bar{β}}_{2}$	Linear (P → 0) limit of propagation constants β₁ and β₂.
β₊, β₋	Propagation constants of the even and odd modes of a matched (linear) coupler.
M	Mismatch parameter defined in Eq. (1).
$\bar{M}$	Linear (P → 0) limit of mismatch parameter M.
K₁, K₂	Kerr coefficients for cores 1 and 2.
K	Kerr coefficient for identical core Kerr law coupler.
P_B	Bifurcation power for the identical core Kerr law coupler. In general, points where the stable and unstable modes meet or separate are called bifurcations, and the corresponding total power is a bifurcation power.
P_C	Critical power for the identical core Kerr law coupler. In general, points where the separatrix crosses the edge of the graph are called critical, and the corresponding power is a critical power.

P₁, P₂	Powers in cores 1 and 2.
P	Total power P = P₁ + P₂ in both cores.
ϕ	Phase difference between core excitations.
β₁, β₂	Propagation constants of modes in cores 1 and 2 in isolation.
${\bar{β}}_{1}, {\bar{β}}_{2}$	Linear (P → 0) limit of propagation constants β₁ and β₂.
β₊, β₋	Propagation constants of the even and odd modes of a matched (linear) coupler.
M	Mismatch parameter defined in Eq. (1).
$\bar{M}$	Linear (P → 0) limit of mismatch parameter M.
K₁, K₂	Kerr coefficients for cores 1 and 2.
K	Kerr coefficient for identical core Kerr law coupler.
P_B	Bifurcation power for the identical core Kerr law coupler. In general, points where the stable and unstable modes meet or separate are called bifurcations, and the corresponding total power is a bifurcation power.
P_C	Critical power for the identical core Kerr law coupler. In general, points where the separatrix crosses the edge of the graph are called critical, and the corresponding power is a critical power.

Abstract

References

Cited By

Figures (15)

Tables (3)

Equations (48)

Metrics

Journal of the Optical Society of America B

Login or Create Account