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Published February 25, 2005 | Accepted Version + Published
Journal Article Open

Azimuthally Polarized Spatial Dark Solitons: Exact Solutions of Maxwell's Equations in a Kerr Medium

Abstract

Spatial Kerr solitons, typically associated with the standard paraxial nonlinear Schrödinger equation, are shown to exist to all nonparaxial orders as exact solutions of Maxwell's equations in the presence of the vectorial Kerr effect. More precisely, we prove the existence of azimuthally polarized, spatial, dark soliton solutions of Maxwell's equations, while exact linearly polarized (2+1)D solitons do not exist. Our ab initio approach predicts the existence of dark solitons up to an upper value of the maximum field amplitude, corresponding to a minimum soliton width of about one-fourth of the wavelength.

Additional Information

© 2005 The American Physical Society. Received 27 September 2004; published 23 February 2005. This research has been funded by the Istituto Nazionale di Fisica della Materia through the "Solitons embedded in holograms", the FIRB "Space-Time nonlinear effects" projects and the Air Force Office of Scientific Research (H. Schlossberg).

Attached Files

Published - PhysRevLett.94.073902.pdf

Accepted Version - 0410036.pdf

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