Cross-spectral analysis of the X-ray variability of Mrk 421

Using the cross-spectral method, we confirm the existence of the X-ray hard lags discovered with cross-correlation function technique during a large flare of Mrk 421 observed with BeppoSAX . For the 0.1--2 versus 2--10keV light curves, both methods suggest sub-hour hard lags. In the time domain, the degree of hard lag, i.e., the amplitude of the 3.2--10 keV photons lagging the lower energy ones, tends to increase with the decreasing energy. In the Fourier frequency domain, by investigating the cross-spectra of the 0.1--2/2--10 keV and the 2--3.2/3.2--10 keV pairs of light curves, the flare also shows hard lags at the lowest frequencies. However, with the present data, it is impossible to constrain the dependence of the lags on frequencies even though the detailed simulations demonstrate that the hard lags at the lowest frequencies probed by the flare are not an artifact of sparse sampling, Poisson and red noise. As a possible interpretation, the implication of the hard lags is discussed in the context of the interplay between the (diffusive) acceleration and synchrotron cooling of relativistic electrons responsible for the observed X-ray emission. The energy-dependent hard lags are in agreement with the expectation of an energy-dependent acceleration timescale. The inferred magnetic field (B ~ 0.11 Gauss) is consistent with the value inferred from the Spectral Energy Distributions of the source. Future investigations with higher quality data that whether or not the time lags are energy-/frequency-dependent will provide a new constraint on the current models of the TeV blazars.Comment: 11 pages, 6 figures, accepted by MNRA

Analysis of consumer behaviour in regional energy consumption

Consumer behavior is perceived as an investment which does not yield results in the short run. The traditional economic theory of customer preferences is based on four main elements: customer income, the market price of goods, customer preferences, and behavioral assumption about the maximum of achievable benefits. Even though it sometimes might seem that equalizing energy consumption with behavior is not possible, it can often be described as consequences of behavior, such as turning off the lights or thermostat level reduction for saving power. Our paper demonstrates how the psychological concept of consumer behavior effects energy consumption. It provides recommendations about the incorporation of the idea of uncomplicated information availability for consumers taking into consideration their long-term habits. The novelty of this study is that psychological concept of consumer behavior effects energy consumption in each of the region, therefore, it is recommended to incorporate the idea of uncomplicated information availability for consumers taking into consideration long-term habits. The problem analyzed in the article is how consumer behavior influences energy consumption. The aim of the article is to analyze the consumer behavior in energy consumption. The objectives of the study are two-fold: i) to analyze the element of consumer behavior from the theoretical point of view, and ii) to investigate the patterns of energy consumption. The methods of the study are a logical and comparative analysis of literature, graphics, synthesis, and deduction. Our results and findings can be used by the stakeholders and policy-makers in preparing regional development economic policies and in designing the energy consumption strategies in the framework of the regional development. © Varanavicius V., Navikaite A., Bilan Yu., Strielkowski W. Text. 2017

Three dimensional imaging of short pulses

We exploit a slightly noncollinear second-harmonic cross-correlation scheme to map the 3D space-time intensity distribution of an unknown complex-shaped ultrashort optical pulse. We show the capability of the technique to reconstruct both the amplitude and the phase of the field through the coherence of the nonlinear interaction down to a resolution of 10 $\mu$m in space and 200 fs in time. This implies that the concept of second-harmonic holography can be employed down to the sub-ps time scale, and used to discuss the features of the technique in terms of the reconstructed fields.Comment: 16 pages, 6 figure

Multistep Parametric Processes in Nonlinear Optics

We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep parametric interactions. We discuss a number of possibilities of double and multiple phase-matching in engineered structures with the sign-varying second-order nonlinear susceptibility, including (i) uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices, (ii) phase-reversed and periodically chirped QPM structures, and (iii) uniform QPM structures in non-collinear geometry, including recently fabricated two-dimensional nonlinear quadratic photonic crystals. We also summarize the most important experimental results on the multi-frequency generation due to multistep parametric processes, and overview the physics and basic properties of multi-color optical parametric solitons generated by these parametric interactions.Comment: To be published in Progress in Optic

Nonlinear space-time dynamics of ultrashort wave packets in water

We have monitored the space\u2013time transformation of a 150-fs pulse undergoing self-focusing and filamentation in water, by means of the nonlinear gating technique. We have observed that pulse splitting and subsequent recombination apply to axial temporal intensity only, whereas the space-integrated pulse profile preserves its original shape