We analyze in details a simplified configuration of a compensation method based on a negative nonlinearity. It is shown that one can cascade the compensation of dispersive and self-phase modulation effects accumulated along a communication line without serious degradation in the quality of the transmitted signal. Anomalous and normal dispersion regimes are compared. Amplifier noise and higher-o...

The finite temperature Casimir free energy is calculated for a dielec-tric ball of radius a embedded in an infinite medium. The condition ǫµ = 1 is assumed for the inside/outside regions. Both the Green function method and the mode summation method are considered, and found to be equivalent. For a dilute medium we find, assuming a simple " square " dispersion relation with an abrupt cutoff at i...

Self-compression of visible optical pulse in bulk χ medium has been demonstrated taking the advantage of negative group-velocity dispersion of tilted pulses.

In telecommunication, a method for managing dispersion that combines two or more types of single mode fiber to produce the desired dispersion over the entire link span has been proposed. The total dispersion can be set at virtually any value as the contributions from different components may have opposite signs (i.e. either positive or negative) and hence they can partially, or completely, canc...

The online infomediary, playing an important role in e-commerce, provides more unbiased and refined product information than usual advertisement provided by online retailers. Interestingly, depending on its capability, the quality of product information is likely to differ. Also, given the fact that it enables consumers to grasp market price dispersion of products, the context of online infomed...

The most common probabilistic structure of the models used by transportation safety analysts for modeling motor vehicle crashes are the traditional Poisson and Poissongamma (or Negative Binomial) distributions. Since crash data have been shown to exhibit over-dispersion, Poisson-gamma models are usually preferred over Poisson regression models. Up until recently, the dispersion parameter of Poi...

We derive a quantile-adjusted conditional maximum likelihood estimator for the dispersion parameter of the negative binomial distribution and compare its performance, in terms of bias, to various other methods. Our estimation scheme outperforms all other methods in very small samples, typical of those from serial analysis of gene expression studies, the motivating data for this study. The impac...

We demonstrate a method of preparation of broadband sign-reversible dispersion in alkali vapour based on velocity-selective optical pumping. The refractive index in Rb vapour has been measured using a heterodyne method. The magnitudes of the normal and anomalous dispersion, which are almost constant over a spectral region of approximately 40 MHz, can lead to a reduced (V(g) approximately c/230)...

We show that the coupled mode equations for the stationary propagation of upper–hybrid and magnetoacoustic waves in magnetized electron–ion plasmas with negative group dispersion can be exactly derived from the generalized Hénon–Heiles Hamiltonian. The parameter regimes for the integrable cases of the coupled mode equations have been explicitly obtained. For positive group dispersion of the upp...

We show that small negative fourth-order dispersion can arrest spatiotemporal collapse of ultrashort pulses with anomalous dispersion in a planar waveguide with pure Kerr nonlinearity, resulting in (2 + 1)D optical bullets. Similarly to solitons, these bullets undergo elastic collisions. Since these bullets can self-trap from noisy Gaussian input beams and propagate without any power losses, th...