Ultrashort spatiotemporal optical solitons in waveguide arrays: the effect of combined linear and nonlinear couplings

• Published in: Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-10, Vol.51 (43), p.435202
• Main Authors: Leblond, Hervé, Mihalache, Dumitru
• Format: Article
• Language: English
• Subjects: discrete solitons; few-cycle optical pulses; nonlinear optics; Nonlinear Sciences; Optics; Pattern Formation and Solitons; Physics; spatiotemporal solitons
• ISSN: 1751-8113; 1751-8121
• DOI: 10.1088/1751-8121/aadfb9

We investigate the propagation of Gaussian spatiotemporal inputs in arrays of parallel optical waveguides, assuming both linear and nonlinear non-dispersive coupling between adjacent guides. The numerical simulations employ a discrete version of the modified Korteweg-de Vries equation that adequately describe the propagation of few-cycle spatiotemporal solitons in coupled waveguide arrays. It is shown that depending on the numerical values of the key parameters of the spatiotemporal Gaussian input, the combined effect of linear and nonlinear couplings leads to either the diffraction and dispersion spreading effect or to the formation of different types of (2  +  1)-dimensional ultrashort spatiotemporal solitons such as one or many single-channel few-cycle solitons, and half-cycle (single-humped) ones.