Azimuthally polarized spatial dark solitons : Exact solutions of Maxwell's equations in a Kerr medium
Spatial Kerr solitons, typically associated with the standard paraxial nonlinear Schro dinger 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 pola...
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Veröffentlicht in: | Physical review letters 2005-02, Vol.94 (7), p.073902.1-073902.4, Article 073902 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Spatial Kerr solitons, typically associated with the standard paraxial nonlinear Schro dinger 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. |
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ISSN: | 0031-9007 1079-7114 |
DOI: | 10.1103/PhysRevLett.94.073902 |