title: Vectorial Swift-Hohenberg equation for transverse laser patterns.
abstract: The consequences of introducing the polarization degree of freedom of the light are studied for the transverse patterns of a laser with detuning equal to zero. We deduce the vectorial Swift-Hohenberg amplitude equation from the corresponding Maxwell-Bloch equations. The vectorial character of the equation introduces modifications in the stability of traveling waves and new types of localized structures.
authors.affiliation: Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600 Mar del Plata, Argentina.
authors.forename: Miguel
authors.initials: M
authors.lastname: Hoyuelos
authors.forename: Matías
authors.initials: M
authors.lastname: dell'Erba