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Cited by 4 publications
(3 citation statements)
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“…While the existence of this shelf of radiation has been shown from perturbation theory [18,19], the reason for this radiation can most easily be seen from the dispersion relation for the linear electric field equation, ω = k 2 /2, where k is the wave number. The group velocity is then c g = k, so that low-wave-number radiation has a low velocity and thus accumulates under the vortex, resulting in a shelf of radiation, or a pedestal, as this radiation effect is referred to in optical fibers [20,21]. Also, in analogy with previous studies of nonlocal vortices [14][15][16], the parameters a, w, g, and σ should depend not only on the space variable z, but also on the azimuthal angle θ .…”
Section: Modulation Equationsmentioning
confidence: 99%
“…While the existence of this shelf of radiation has been shown from perturbation theory [18,19], the reason for this radiation can most easily be seen from the dispersion relation for the linear electric field equation, ω = k 2 /2, where k is the wave number. The group velocity is then c g = k, so that low-wave-number radiation has a low velocity and thus accumulates under the vortex, resulting in a shelf of radiation, or a pedestal, as this radiation effect is referred to in optical fibers [20,21]. Also, in analogy with previous studies of nonlocal vortices [14][15][16], the parameters a, w, g, and σ should depend not only on the space variable z, but also on the azimuthal angle θ .…”
Section: Modulation Equationsmentioning
confidence: 99%
“…Such optical component has attracted considerable attention in recent researches [2][3][4][5]7,[19][20][21][22][23][24][25][26][27][28][29][30][34][35][36] assisting the study fields and research lines aforementioned, as well as other additional lines of research. A nonlinear Sagnac interferometer is a very stable and extremely versatile optical component, which was initially proposed by Doran act as a "bit" of fundamental datum in ultra-fast optical processes [2,3].…”
Section: Introductionmentioning
confidence: 99%
“…A nonlinear Sagnac interferometer is a very stable and extremely versatile optical component, which was initially proposed by Doran act as a "bit" of fundamental datum in ultra-fast optical processes [2,3]. Among the different applications of the device, we highlight ultra-fast switching, all-optical signal processing, optical converters [2][3][4][5]7,21,[24][25][26][27][28]30], optical logic gates [24][25][26][27] and intensity filter for pedestal suppression [29]. A very relevant study was recently done by investigating the slow Kerr effect (non-instantaneous Kerr) in a nonlinear Sagnac interferometer [20].…”
Section: Introductionmentioning
confidence: 99%