Continuous-wave ultrahigh-repetition-rate pulse train generation through modulational instability in a passive fiber cavity

Thanks to a passive cavity configuration, modulational instability in fibers is successfully observed, for the first time to our knowledge, in the continuous-wave regime. Our technique provides a new means of generating all-optically ultrahigh-repetition-rate pulse trains and opens up new possibilities for the fundamental study of modulational instability and related phenomena. © 2001 Optical Society of America.

Private equity, productivity and earnings

A detailed study in the USA shows that workers experience a relative fall in earnings after a takeover by private equity. Also, companies bought by private equity are at great risk of defaulting on their debts in the next 2 years.

Ambitious mothers – successful daughters: Mothers’ early expectations for children’s education and children’s earnings and sense of control in adult life

Background. Mothers' expectations for their children's educational attainment are related to children's educational and occupational attainment. Studies have yet to establish, however, the long-term links between maternal expectations and offspring earnings, which are not always related to occupational attainment especially in women, or between maternal expectations and offspring sense of control and self-efficacy, which are pivotal factors in career choice and development. Aims. To explore the role of mothers' expectations for their children's educational attainment in children's earnings attainment and sense of control later in life. Method. Data from sweeps of the 1970 British Cohort Study (BCS70) were used. The study sample was those cohort members with complete information on all the variables of interest. The study sample (N = 3,285) was more educated and less disadvantaged than the whole sample. If cohort members of this type are more likely to have a mother who has high expectations, then our results are biased downwards, which suggests that we underestimate the effect of expectations on our two outcome variables. Results. Mothers' expectations at the age of 10 were positively related to daughters' sense of control at the age of 30 even after controlling for ethnicity, educational attainment, and concurrent partner, parent, and labour market participation status, as well as the following confounding variables (measured at the ages of 0–10): general ability and general ability squared, locus of control, emotional and behavioural problems and emotional and behavioural problems squared, socio-economic disadvantage, parental social class, parental family structure, and mothers' education, child-rearing attitudes, and mental health. Mothers' expectations had no effect on sons' adult outcomes. Conclusions. Given that women are particularly at risk for poor psychological and economic outcomes in adulthood, and that this study likely underestimated the effect of expectations on these two outcomes, this is an important conclusion.

Instability and evolution of nonlinearly interacting water waves

We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schrodinger equations. We derive a nonlinear dispersion relation. The latter is numerically analyzed to obtain the regions and the associated growth rates of the modulational instability. Furthermore, we follow the long term evolution of the latter by means of computer simulations of the governing nonlinear equations and demonstrate the formation of localized coherent wave envelopes. Our results should be useful for understanding the formation and nonlinear propagation characteristics of large-amplitude freak waves in deep water.

Instability and dynamics of two nonlinearly coupled laser beams in a plasma

The nonlinear interaction between two laser beams in a plasma is investigated in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schrodinger equations that are coupled with the slow plasma density response. A nonlinear dispersion relation is derived and used to study the growth rates of the Raman forward and backward scattering instabilities as well of the Brillouin and self-focusing/modulational instabilities. The nonlinear evolution of the instabilities is investigated by means of direct simulations of the time-dependent system of nonlinear equations. (c) 2006 American Institute of Physics.

Modulational instability and localized excitations of dust-ion acoustic waves

Theoretical and numerical studies are carried out of the nonlinear amplitude modulation of dust-ion acoustic waves propagating in an unmagnetized weakly coupled plasma comprised of electrons, positive ions, and charged dust grains, considering perturbations oblique to the carrier wave propagation direction. The stability analysis, based on a nonlinear Schrodinger-type equation, exhibits a wide instability region, which depends on both the angle theta between the modulation and propagation directions and the dust number density n(d). Explicit expressions for the instability increment and threshold are obtained. The possibility and conditions for the existence of different types of localized excitations are also discussed. (C) 2003 American Institute of Physics.

One-dimensional particle simulation of the filamentation instability: Electrostatic field driven by the magnetic pressure gradient force

Two counterpropagating cool and equally dense electron beams are modeled with particle-in-cell simulations. The electron beam filamentation instability is examined in one spatial dimension, which is an approximation for a quasiplanar filament boundary. It is confirmed that the force on the electrons imposed by the electrostatic field, which develops during the nonlinear stage of the instability, oscillates around a mean value that equals the magnetic pressure gradient force. The forces acting on the electrons due to the electrostatic and the magnetic field have a similar strength. The electrostatic field reduces the confining force close to the stable equilibrium of each filament and increases it farther away, limiting the peak density. The confining time-averaged total potential permits an overlap of current filaments with an opposite flow direction.

Processing difficulties and instability of carbohydrate microneedle arrays

A number of reports have suggested that many of the problems currently associated with the use of microneedle (MN) arrays for transdermal drug delivery could be addressed by using drug-loaded MN arrays prepared by moulding hot melts of carbohydrate materials.