Том 37, № 2 (2016)

We derive an exact infinite set of coupled ordinary differential equations describing the evolution of the modes of the classical electromagnetic field inside an ideal cavity containing a thin slab with the time-dependent conductivity σ(t) and dielectric permittivity ε(t) for the dispersion-less media. We analyze this problem in connection with the attempts to simulate the so-called dynamical Casimir effect in three-dimensional electromagnetic cavities containing a thin semiconductor slab periodically illuminated by strong laser pulses. Therefore, we assume that functions σ(t) and δε(t) = ε(t) − ε(0) are different from zero during short time intervals (pulses) only. Our main goal here is to find the conditions under which the initial nonzero classical field could be amplified after a single pulse (or a series of pulses). We obtain approximate solutions to the dynamical equations in the cases of “small” and “big” maximal values of the functions σ(t) and δε(t). We show that the single-mode approximation used in the previous studies can be justified in the case of “small” perturbations, but the initially excited field mode cannot be amplified in this case if the laser pulses generate free carriers inside the slab. The amplification could be possible, in principle, for extremely high maximum values of conductivity and the concentration of free carries (the model of an “almost ideal conductor”) created inside the slab under the crucial condition providing the negativity of the function δε(t). This result follows from a simple approximate analytical solution confirmed by exact numerical calculations. However, the evaluation shows that the necessary energy of laser pulses must be, probably, unrealistically high.

We analyze the recently found inequality for eigenvalues of the density matrix and purity parameters describing either a bipartite-system state or a single-qudit state. We rewrite the Minkowski-type trace inequality for the density matrices of the qudit states in terms of the purity parameters and discuss the properties of the inequality obtained, paying special attention to the X-states of two qubits and a single qudit. Also we study the relation of the purity inequalities obtained with the entanglement.

We review the dynamics of narrow and broad-band optical pulses in nonlinear dispersive media. A major problem that arises during the development of theoretical models, which describe accurately and correctly the behavior of these pulses, is the limited application of the nonlinear Schrӧdinger equation. It describes very well the evolution of nanosecond and picosecond laser pulses. However, when we investigate the propagation of femtosecond and attosecond light pulses, it is necessary to use the more general nonlinear amplitude equation. We show that in this equation two additional terms are included and they have a significant impact on the phase of the pulse. We perform numerical simulations and show the temporal shift of the position of fundamental solitons. This effect depends on the initial duration of the laser pulses. To clarify the influence of the additional terms on the parameters of the optical pulses, we consider the nonlinear amplitude equation, which is a modified nonlinear Schrӧdinger equation.

We investigate the evolution of anomalous hollow Gaussian beams in strongly nonlocal nonlinear media under the off-waist incident condition. We obtain analytic expressions of the beam propagation, the on-axis intensity, and the beam width and curvature. We perform some numerical simulations to illustrate the propagation properties of anomalous hollow Gaussian beams. The results show that, under the off-waist incident condition, the beam evolution is always periodic, whatever the input power is, being different from that under the on-waist incident condition. We discuss the influences of the input power and the departure distance on the propagation properties and present the physical reasons.

We investigate the effect of external spatially inhomogeneous electric fields on correlations between isochromates of an inhomogeneously broadened spectral line. We use laser excitation at various time intervals between an object laser pulse and its Stark echo response. Also we study the reproducibility of information contained in the Stark echo response and the possibility of steering its temporal form.

Laser coating removal is an approach that has the potential to replace conventional chemical-based stripping methods in industry. In addition to the laser parameters, the efficiency of this cleaning technique depends also on the coating system itself. For this reason, we study the influence of the elemental compositions of two Malaysian automotive coated substrates, referred to here as A and B, on laser coating removal mechanisms using the Cynosure Cynergy Nd:YAG laser. The optimum laser coating removal efficiencies for both samples A and B are determined based on the depths of 360 craters obtained using a given formula. Selected crater depths on both of the stipulated samples are then subjected to energy dispersive X-ray analysis to determine their elemental compositions. The results indicate that sample A, which has higher aluminum content, shows greater efficiency in coating system removal, with balanced carbon and oxygen compositions aiding coating reduction during the cleaning process.