Nonlinear interaction of optical biharmonics in a gaseous medium without inversion centers

This study investigates observed interactions between second-order optical biharmonics with difference frequencies characteristic of intra-molecular spin motion. The simultaneous solutions of equations of motion for electron shells and nuclear and generalized Maxwell equations for electromagnetic waves are found. It is shown that a complete orthogonal series of solutions for the observed condition are comprised of Bessel J_n(z) functions. Leading from the properties of these functions it can be proved that bimodal light at a distance L gives rise, for example, to red and blue side lobes L of comparable intensities. The results obtained may be useful in finding and developing low energy methods for destroying inversion symmetry in gaseous media.All-Union Research Institute of Applied Mathematics and Mechanics, Tomsk State University. Kharkov Physical — Technical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 100–107, October, 1994.     

Acoustic wave amplification in a plasma of a molecular gaseous discharge

From the experimental investigation of sound propagation in a gaseous discharge, it is established that, in a stationary diffusive discharge in nitrogen, sound amplification takes place according to the linear theory, whereas a sharp transverse constriction of the discharge leads to a sharp, jump-like increase in the amplification factor because of the steep dependence of the relaxation constant of a vibrationally excited molecule on the gas temperature. This result agrees well with the nonlinear theory of sound amplification in a nonequilibrium molecular gas. It is shown that the introduction of oxygen in the nitrogen discharge leads to an increase in the sound amplification factor in the plasma, because the constant of the vibrational relaxation of an excited nitrogen molecule by oxygen is two orders of magnitude greater than the constant of relaxation of nitrogen by nitrogen.     

Lasing without population inversion in molecules

We have described here the physical basis for lasing without population inversion (LWOPI). This type of amplification is obtained basically by two mechanisms: (i) one is based on atomic interference and (ii) the other is based on Fano-type interference. We have shown here, in H₂ molecules, amplification without population inversion is feasible by considering both the mechanisms.     

Amplification without population inversion in molecules

We have studied the feasibility of amplification without population inversion (AWI) in LiH molecule for three-level ladder, V, and Λ schemes. We have shown the salient features of AWI in a molecular system in comparison to that in an atomic system, viz. the dependence of gain profile on the choice of different rotational and vibrational transitions. Under different three-level schemes, the effect of homogeneous and inhomogeneous broadening on the gain profile has been studied. We have also studied the dependence of gain on different external parameters. The temporal evolution of gain has been analyzed and it was found that AWI is achievable in both the transient and the steady state regime. For all the three-level schemes and in particular for the ladder scheme, amplification of the weak probe was obtained using a coupling laser of smaller frequency.     

Group classification of the dispersion equation of gaseous pollutants in presence of a temperature inversion

The Lie group method is applied to make a group classification of the PDE governs the dispersion of gaseous pollutants in the presence of a temperature inversion and obtained on a great varity of analytical solutions. The pollutants are assumed to be spread in the layer bounded by the ground surface and the inversion level and they are driven by wind in the horizontal direction. The general solution has been specified for two cases; (i) the ground absorbs all the gaseous pollutants and (ii) the ground does not absorb any pollutant.     

Population inversion in fluorescing fragments of super-excited molecules inside an air filament

An original idea is reviewed.When a molecule is pumped into a super-excited state,one of its decay channels is neutral dissociation.One or more of the neutral fragments will fluoresce.Hence,if a lower state of such fluorescing fragments was populated through other channels but with a lower probability,population inversion of the fluorescing fragments would be naturally realized.This idea seems to be validated,so far,by comparing published work on three hydrocarbon molecules,CH4,C2H2,C2H4,and water vapor,H2O.After super-excitation in a femtosecond laser filament in air mixed with these molecules,the fluorescence from the CH or OH fragments exhibits population inversion,i.e.,amplified spontaneous emission was observed in the backscattering direction of the filament.     

Realization of population inversion in a two-level system by damping field

We propose a new method for reversing the quantum state of a two-level system. From solving the time-dependent Schrödinger equation numerically, we show that by applying a classical decaying oscillatory field the state in a two-level system can be completely reversed if the parameters of the field satisfy certain conditions. The transition probability from one level to the other is calculated for different parameters and its maximum value can reach unity. By using such field with specific oscillatory frequency the Rabi oscillations between two levels in the case of applying a constant field can be suppressed and a stable manipulation of the quantum state can be performed. The estimation of such manipulation by using laser pulse acting on the states of hydrogen atom shows that the population inversion higher than 0.9 may be realized in less than 2 fs.     

Sideband manipulation of population inversion in a three-level Λ atomic system

Sideband manipulation of population inversion in a three-level A atomic configuration is investigated theoretically. Compared with the case of a nearly monochromatic field, a population inversion between an excited state and a ground state has been found in a wide sideband intensity range by increasing the difference in frequency between three components. Furthermore, the population inversion can be controlled by the sum of the relative phases of the sideband components of the trichromatic pump field with respective to the phase of the central component. Changing the sum phase from 0 to π, the population inversion between the excited state and the ground state can increase within nearly half of the sideband intensity range. At the same time, the sideband intensity range that corresponds to the system exhibiting inversion ρ00 〉 ρ11 also becomes wider evidently.     

Design of a constant adiabaticity pulse for selective population inversion

A new adiabatic pulse for population inversion and the principles of its design are presented. The pulse shape is characterized by the combination of two constraints. (i) Adiabatic following of the central isochromat of the spectral region of interest occurs with constant, possibly small adiabaticity parameter; thereby, the center isochromat gets most efficiently inverted. (ii) Frequency and amplitude modulations obey the principle of offset-independent adiabaticity; thus, the inversion dynamics of the center isochromat is extended over the desired bandwidth. Selective population inversion can be achieved rather independently of spatial radio frequency field inhomogeneities and with significantly reduced peak RF amplitude in comparison with the well-known sech/tanh adiabatic pulse.     

Valence intersubband gain without population inversion

Terahertz gain without population inversion is studied in thin III–V semiconductor quantum wells. Nonequilibrium hole populations leading to intervalence gain in the transverse electric mode are investigated. The results are obtained with a Keldysh Nonequilibrium Green’s Functions approach that takes into account bandstructure, manybody and nonequilibrium effects.     

Gain without population inversion in a two-level atom damped by a broadband squeezed vacuum

We study the absorption spectrum of a two-level atom driven by a resonant laser field and damped by a broadband squeezed vacuum. We show that for some values of the Rabi frequency of the driving field the central component of the absorption spectrum can switch from absorption to amplification. We find that the presence of the squeezed vacuum field is essential for the gain at the central component. Moreover, the gain is not attributed to any population inversion in both the atomic bare states and in the dressed atomic states. We show that the gain originates from the coherent population oscillations, which are significantly enhanced when the atom is damped by a broadband squeezed vacuum.     

Calculation of the luminescence of a finite volume with population inversion

Amplified luminescence is examined for a polished cylindrical rod. Nonlinear transport equations are used to examine the distribution of the emission along the rod and the mean density of the amplified luminescence. It is found that the probability of luminescence-induced transitions is of the same order as that for spontaneous transitions for a ruby rod. Calculations are presented for storage in a metastable level and for oscillation. Estimates are presented for the amplified luminescence from a cylinder with nonreflecting surfaces and also for a sphere.I am indebted to B. I. Stepanov for interest and valuable advice.     

Stimulated resonance scattering of light waves in laser crystals with a population inversion

A new type of stimulated scattering of light is discovered in a Nd:YAG laser crystal with a population inversion. The scattering occurs for light at the resonance frequency of the laser transition, with a small anti-Stokes shift. It is shown that the effect is due to the appearance of a wave of population of the metastable level and the associated traveling index grating in a laser medium with different polarizability of the excited and unexcited atoms. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 1, 13–18 (10 January 1996)     

Probe gain with population inversion in a four-level atomic system with vacuum-induced coherence

For a four-level atomic system with a doublet of closely spaced levels, we find that, owing to the coherence that results from the vacuum of the radiation field, population trapping at excited levels and probe gain with population inversion can be achieved with weak incoherent pumping. This gain is different from both the conventional lasing gain and gain without inversion in that there exists population inversion on probe transitions but the inversion is achieved by the vacuum-induced coherence.