2017
DOI: 10.1103/physreva.95.043839
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Few-cycle spatiotemporal optical solitons in waveguide arrays

Abstract: We consider the propagation of Gaussian spatiotemporal wave packets in arrays of parallel optical waveguides, assuming linear and nondispersive coupling between the adjacent guides. The numerical analysis is based on a discrete version of the modified Korteweg-de Vries equation that adequately describes the propagation of ultrashort (few-cycle) spatiotemporal solitons in waveguide arrays. Two kinds of such discrete-continuous localized wave forms, which are discrete solitons in the transverse direction, and fe… Show more

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Cited by 22 publications
(8 citation statements)
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References 70 publications
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“…We begin our analysis by first considering a Kerr nonlinear multimode tight-binding model—a one-dimensional photonic array comprised of M evanescently coupled single-mode waveguides with nearest neighbor coupling 41 , 42 (a situation most relevant to experimental implementations), as shown in Fig. 2a .…”
Section: Resultsmentioning
confidence: 99%
“…We begin our analysis by first considering a Kerr nonlinear multimode tight-binding model—a one-dimensional photonic array comprised of M evanescently coupled single-mode waveguides with nearest neighbor coupling 41 , 42 (a situation most relevant to experimental implementations), as shown in Fig. 2a .…”
Section: Resultsmentioning
confidence: 99%
“…In recent decades, theoretical and experimental studies of the nonlinear dynamics of wave fields in multi-core fibers (MCFs), consisting of identical equidistantly spaced weakly coupled cores, have intensified in order to eliminate filamentation instability in the transverse direction, which is a fundamental limitation on the generation and use of high-power laser pulses. A number of interesting results have been obtained in such MCFs: supercontinuum generation [23][24][25], the laser pulse compression [24][25][26][27][28][29][30][31][32], nonlinear switching [33] and the light bullet formation [24][25][26][27][28][29][30][34][35][36][37]. However, most of them were obtained for in-phase field distributions, which are influenced by a discrete analogue of filamentation instability and stochasticity [38].…”
Section: Introductionmentioning
confidence: 99%
“…One of the current trends in modern fiber optics is associated with the use of micro-and nano-structured systems for the light flux control. In recent years, a whole section of nonlinear science has been formed, which is devoted to theoretical and experimental studies of wave processes in spatially periodic nonlinear media, in which main attention is focused on the following issues: supercontinuum generation [1,2], shortening of laser pulse duration [3][4][5][6][7][8][9], control of the wave field structure [10][11][12][13][14][15], formation of light bullets [16][17][18][19][20][21][22], soliton-like solutions [22,23], and generation of intense laser pulses in active fiber systems.…”
Section: Introductionmentioning
confidence: 99%