Soliton propagation

Mollenauer L F, Gordon J P and Islam M N 1986 Soliton propagation in long fibers with periodically compensated loss IEEE J. Quantum. Electron. 22 157-73... 

A Model of Localization, Soliton Propagation, and Self-Trapping in an Electronically Excited Atomic Lattice. 

At L = 1 pm, the measurement can be done at the magnetic field B 10-7 T, which corresponds to the oscillating power P 10 3 W [ 100]. This seems to be not very high. Estimated in a different way as a minimum number of optical photons transmitted through the loop, the field should contain n 1/a 137 photons, where a = e2/he is the fine-structure constant. This estimation corresponds either to an optical soliton propagating through the fiber [104] or to the superradiant pulse in the radioband superradiance [105],... 

Binding of drug molecules to helical protein molecules may inhibit soliton propagation. Further studies along these lines may allow tailoring of new drugs with optimal therapeutic capabilities. Their actions may be modulated by concurrent exposure to selected electromagnetic fields. Similar selective modulations of tissue functions by modification of the... 

The literature on soliton is so vast that it is very difficult to mention all flie references. However, the Ref [37] is very useful for further references. For soliton propagation, in many optical systems, it is a common practice to use nonlinear Schrodinger equation (NLSE). However, we have recently shown that the NLSE can be derived through perturbation on K-G equation when progressive wave passes through nonlinear medium, such as lithiiun niobate ferroelectrics, where dispersion may take place, and... 

Class c4 rules characteristically have long transients, propagating soliton-like structures, large correlation lengths, etc. These are all properties possessed by rules within the transition region. 

The emergent soliton structures arc obviously very reminiscent of the propagating structures normally associated with one-dimensional class c4 elementary CA, as well as the glider -like structures appearing in Conway s Game of Life (section 3.4.4). There are two noteworthy differences between these systems, however (aside from the fact that we are looking at the spatial derivative here as opposed to a... 

P. M. Goorjian, and A. Taflove, "Direct time integration of Maxwells equations in nonlinear dispersive media for propagation and scattering of femtosecond electromagnetic solitons," Opt. Lett 17, 180-182 (1992). 

Such a behavior of the total field is observed provided that the beam power is smaller than a definite value P which depends on the waveguide width (for a = 1.8pm, P 8). The spatial dynamics of a light beam with P > Pi is more complicated because nonlinear self-effects in radiation field increase so that the formation of soliton-like light beams propagating in the waveguide cladding is observed. 

In general, as the variation of the temporal profile of the non-stationary light beam due to the SS effect or the second-order GVD effect is continuous, emission of radiation field from the guiding region is also continuous upon propagation of the pulse. This emission prevents formation of a spatiotemporal soliton in the step-index guiding structures. 

The soliton considered here might correspond to an atom translating in an optical held or perhaps an exciton in a solid. Under these conditions, the feedback control does not necessarily have to be ultrafast, as the propagation and velocity are at our disposal. 

The solution to this equation is A sech (kx)emt, which is a soliton solution. In the case where we have nonlinear optics and the occurrence of the cyclic electromagnetic fields, the Maxwell equations for the propagation of an electromagnetic wave are co variant and then give rise to soliton wave equations. 

Soliton (7.71) and the corresponding antisoliton, which is a similar wave propagating in the opposite direction, are characterized by the energy... 

The realization of stable optical solitons will have a significant impact in long distance optical communications and information technology. A stable optical soliton is able to propagate through an optical fiber without pulse broadening or dispersion (a feature that cannot be avoided in the linear regime) which minimizes information losses [13-15]. 

There is also numerical evidence of the above given solitonic properties of nonlinear waves. For the particular case of Equation 4.3 and related two-side propagating wave equations, Christov and Velarde have calculated wave prohles and discussed the kinematics of the collisions of solitonic surface waves in two extreme limiting cases. 

In the exposition of various macroscopic theories of electromagnetic field in dispersive media [227-229], limitations and possibilities of narrow-bandwidth quantum fields were considered. Such quantum fields are common in the study of quantum solitons. Similar quantum fields are derived in the study of paraxial propagation [230,231]. We will present partial differential equations for these... 

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