Propagation of solitons in a two-dimensional nonlinear square lattice
نویسندگان
چکیده
منابع مشابه
Two-dimensional optical lattice solitons.
We study various families of two-dimensional discrete or lattice solitons, and show that they are possible only when their power level exceeds a critical threshold. In addition, we show that gap-lattice solitons exist only when the lattice possesses a complete 2D band gap. Our results suggest that these conditions are universally valid, irrespective of the nature of the nonlinearity or the spec...
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We investigate families of optical solitons supported by two-dimensional disordered lattices. The linear modes of the system are identified, and their eigenvalues are arranged in a band structure. Introducing Kerr nonlinearity, we find that families of solitons originate from linear modes. Such solutions, depending on the eigenvalue of the supporting linear mode, as the power increases may beco...
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Solitons are localized nonlinear waves and occur in many branches of physics. Their properties have provided a deep and fundamental understanding of complex nonlinear systems. In recent years, there has been considerable interest in studying solitons in systems with periodic potentials or lattices, in particular, those that can be generated in nonlinear optical materials [1]–[5]. In periodic la...
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In the present paper a novel structure for optical channel drop filter (CDF) based on photonic crystal ring resonator with circular core has been proposed. In order to design the proposed CDF, the plan wave expansion (PWE) method is applied for calculation of band structure and photonic band gap while the transmission characteristics of proposed CDF have been calculated using the finite differe...
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ژورنال
عنوان ژورنال: International Journal of Non-Linear Mechanics
سال: 2018
ISSN: 0020-7462
DOI: 10.1016/j.ijnonlinmec.2018.08.002