On the cubic and cubic-quintic optical vortices equations

• Autorzy: Greco C.

Identyfikatory

DOI

10.1515/jaa-2016-0010

• Języki publikacji: EN

Abstrakty

EN

An optical vortex can appear when a light beam with nonzero angular momentum propagates in a suitable nonlinear medium. In some situations has been observed that the light intensity vanish at the center of the vortex (where the phase of the electromagnetic field is undefined), while the light beam assumes a ring-shaped structure. In this paper we consider two classical cases in which such kind of phenomena occur: the case of the self focusing cubic nonlinearity, and the case of competing quintic and cubic nonlinearity. In both cases we study the nonlinear Schrödinger equation of the optical field (with various boundary conditions) by means of min-max methods, and we prove the existence of saddle point type solutions, as well as minimum type solutions.

Słowa kluczowe

EN

optical vortices; cubic; cubic-quintic; variational methods

PL

wir optyczny; metoda wariacyjna

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2016
• Tom: Vol. 22, nr 2
• Strony: 95--105
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Greco C.

• Politecnico di Bari, v. Orabona, 4, 70126 Bari, Italy

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.