R. Burlon

Electron scattering in strong laser fields. Theoretical models versus recent experiments

Using recent measurements of multiphoton free-free transitions in e-Ar scattering in the presence of a CO2 laser as reference data, an analysis is made of the role different properties of realistic lasers may play in affecting the cross sections of multiphoton transitions. Single-mode and N-mode fields are considered with and without given statistics, emphasis being placed on few-mode cases. Spatial and temporal inhomogeneities, accounting respectively for the focusing and pulsed regimes, are also taken into account. While a complete and detailed agreement is probably out of the question at the present due to incomplete knowledge of all the experimental conditions, the basic and most important features are reproduced with satisfactory agreement. To achieve this agreement a decisive role is played by spatial and temporal inhomogeneities irrespective of the particular laser model in which they are considered.

Symmetries in harmonic generation by a two-color field: an application to a simple model atom

We show that the parity of the order of the harmonics generated by a bichromatic field with commensurate frequencies may be related to the invariance properties of the time-dependent Hamiltonian with respect to some suitable transformations. To simplify the mathematical treatment, we have used a simple model atom to perform calculations that show the effects of the relative phase of the driving fields. Harmonic generation has been described as a two-step process that involves replicas of the Stark levels. In agreement with other previous treatments in which other model atoms were used, we have found that a small contamination of the fundamental harmonic can produce significant modifications of the emission spectra.

Univariate and multivariate properties of wind velocity time series

We analyze the time series of hourly average wind speeds measured at 29 different stations located in Sicily, a region with a complex morphology. The investigation, performed from the univariate as well as the multivariate point of view, evidences that the statistical properties of wind at the single sites have features that are not reproduced by standard models and, thus, require specific modeling. Moreover, the synchronous evolution of wind velocity presents a cluster structure, obtained with different algorithms, that persists in the standard deviation too.

Joint probability distributions for wind speed and direction. A case study in Sicily

In this study we analyze data of hourly average wind speed and direction measured at three different sampling stations located in Sicily (Italy) and provide a statistical model for their joint probability density function. Singly truncated from below Normal Weibull mixture distribution and a linear combination of von Mises distributions are used to model wind speed and direction. Sites with heterogeneous local conditions (prevailing wind direction and/or elevation) have been considered in order to investigate the reliability of the model here taken into consideration.

Two-color ionization of hydrogen by short intense pulses

Photoelectron energy spectra resulting by the interaction of hydrogen with two short pulses having carrier frequencies, respectively, in the range of the infrared and XUV regions have been calculated. The effects of the pulse duration and timing of the X-ray pulse on the photoelectron energy spectra are discussed. Analysis of the spectra obtained for very long pulses show that certain features may be explained in terms of quantum interferences in the time domain. It is found that, depending on the duration of the X-ray pulse, ripples in the energy spectra separated by the infrared photon energy may appear. Moreover, the temporal shape of the low frequency radiation field may be inferred by the breadth of the photoelectron energy spectra.

Photodetachment of F - by a few-cycle circularly polarized laser field

We report on calculations of the above threshold detachment of F(-) by a few-cycle circularly polarized laser field, discussing the effects of both the carrier-envelope relative phase and the number of the cycle contained in a pulse on the angular distribution of ejected photoelectron. The results are analyzed in terms of a two-step semiclassical model: after the electrons are detached through tunnelling their motion is determined by the electric field pulse according to the classical dynamics laws. Anisotropies in the angular distributions of the electrons ejected on the plane perpendicular to the laser propagation direction are found that depend on the number of cycle of the laser pulse.

RADIATIVE RECOMBINATION IN THE PRESENCE OF A FEW CYCLE LASER PULSE

We have investigated the laser-assisted radiative recombination in the presence of a few-cycle pulse with the aim of demonstrating means of controlling such process. Within the Coulomb-Volkov approach already employed to describe the radiative recombination assisted by a monochromatic laser field, we have found that the emitted photon spectrum is affected by both the cycle number nc and the carrier-envelope relative phase phi . In particular, it has been shown that the minimum and the maximum values of the emitted photon energy may be controlled by varying nc and phi . Finally, it has been found that the enhancement of radiative recombination occurring in the presence of a monochromatic field, takes place also by using a few-cycle laser pulse.

Radiative recombination in a strong laser field: low-frequency approximation

A theoretical treatment of the laser-assisted radiative recombination (LARR) is presented in which the low-frequency (LF) assumption is exploited. The merit of the proposed LF approximation is twofold. First, the LF approximation considerably simplifies the calculations of the transition rates, whereas the results obtained within this approximation are only slightly different from those obtained without resorting to it. Second, the LF approximation gives more insight into the physical picture of the process, which may be viewed as a two-step process. In the first step, the free electron propagates toward the ion, and its motion is described classically with motion changes ascribed mainly to the action of the laser field; in the second step, the free electron recombines with the ion instantaneously at a given value of the laser field phase phiv. Since the instant of recombination is not observed, the instantaneous result is averaged over the laser field phase in order to obtain observable quantities. Finally, the LARR rate is calculated for a plasma in the conditions when electron-electron collisions are dominant and a Maxwellian electron distribution function is appropriate. The basic features of the spectra are explained in a simple way thanks to the simple picture offered by the LF approximation.

Analysis and modeling of wind directions time series

This work aims at studying some aspects of wind directions in Italy and supplying appropriate models. A comparison is presented between independent mixture and Hidden Markov models, which seem to be appropriate as far as the series we studied.

Photodetachment of F− by short laser pulses. Comparison between experiments and numerical results

Recently, angle-resolved photoelectron spectra have been measured by exposing negative F− ions to linearly or circularly polarized infrared femtosecond laser fields. We compare the experimental results with numerical calculations carried out in the framework of a Keldysh-type theory modified to account for both the time shape and the spatial inhomogeneity of the pulse. In order to account for the finite duration of the laser pulse, our results have been obtained through calculations of photodetachment probabilities. By using the saddle-point method it is possible to show that the transition amplitude may be written as a coherent sum of terms giving rise to interferences. This circumstance suggests that some particular features of the experimental results may be described in terms of quantum interferences in the time domain.