Codimension 2 and 3 situations in a ring cavity with elliptically polarized electromagnetic waves

• Published in: Physica. D Vol. 259; pp. 37 - 47
• Main Authors: Mártin, D.A., Hoyuelos, M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.09.2013
• Subjects: Electromagnetic waves; Elliptical polarization; Holes; Instability; Joining; Lugiato–Lefever equation; Mathematical analysis; Mathematical models; Nonlinear optics; Refraction; Stability; Transverse pattern formation; Turing–Hopf codimension 2; Turing–Turing codimension 2; Transverse pattern formation; Turing–Turing codimension 2; Lugiato–Lefever equation; Turing–Hopf codimension 2; Elliptical polarization; Nonlinear optics

We study pattern formation on the plane transverse to propagation direction, in a ring cavity filled with a Kerr-like medium, subject to an elliptically polarized incoming field, by means of two coupled Lugiato–Lefever equations. We consider a wide range of possible values for the coupling parameter...