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Chinese Journal of Quantum Electronics

Optical characteristics of light waves in two-dimensional random media with uniaxial scatterers

Hai Liu

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

A new model was built for light propagation in two-dimensional anisotropic random medium,and the dielectric constant distribution was precisely described.The optical property of light waves in twodimensional random media with uniaxial scattering particles was investigated by simultaneously solving Maxwell's equations and rate equations of electronic population.Results show that ordered scatterers in anisotropic material can also form localization of light-waves if the index of refraction of the uniaxial scatterers distribute randomly in two-dimensional media.The randomness of rotation angle of the optic axis determines the index of refraction of each scattering particle and reinforces the random lasing in random media.

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A new model was built for light propagation in two-dimensional anisotropic random medium,and the dielectric constant distribution was precisely described.The optical property of light waves in twodimensional random media with uniaxial scattering particles was investigated by simultaneously solving Maxwell's equations and rate equations of electronic population.Results show that ordered scatterers in anisotropic material can also form localization of light-waves if the index of refraction of the uniaxial scatterers distribute randomly in two-dimensional media.The randomness of rotation angle of the optic axis determines the index of refraction of each scattering particle and reinforces the random lasing in random media.
The characteristics of a random laser based on a nanocomposite medium consisting of a transparent dielectric and scattering doped nanocrystals are calculated. It is proposed to use ytterbium laser media with a high concentration of active ions as nanocrystals and to use gases, liquids, or solid dielectrics with a refractive index lower than that of nanocrystals as dielectric matrices for nanocrystals. Based on the concept of nonresonant distributed feedback due to the Rayleigh scattering, an expression is obtained for the minimum length of a nanocomposite laser medium at which the random lasing threshold is overcome. Expressions are found for the critical (maximum) and the optimal size of nanocrystals, as well as for the optimal relative refractive index of nanocomposites that corresponds not only to the maximum gain but also to the minimum of the medium threshold length at the optimal size of nanocrystals. It is shown that the optimal relative refractive index of a nanocomposite increases with increasing pump level, but is independent of the other nanocomposite parameters.
Based on the time dependent theory of random lasers, which was built via combining Maxwell equations with the rate equations of a four-level atomic system, the output intensity of a lasing mode varying with the pumping rate is simulated for a two-dimensional random active medium by use of the finite difference time domain method. Results show that the pumping rate dependence of the output intensity presents not only a threshold property, but also a saturation property, just like that of lasing modes in conventional lasers. Charactering the mode's localization extent via the mode's area indicates that the stronger the mode's localization extent is, the lower the mode's threshold is. However, such a relation is not a one-to-one correspondence, meaning that the mode's localization extent is an important fact to determine the mode's threshold, but is not alone.
We investigated several types of random lasing modes against frequency and the excitation of active medium. Random lasing occurring from multiple light scatterings and the interference effect of the scattered light has various complex lasing states in disordered structures, in which light waves are localized in various forms. Modes of random lasing are generally classified into localized, extended and transition modes based on their localization types. Numerical methods are used for analysing such complex phenomena. In this paper, a finite-element method is used to investigate the relationship among lasing modes, frequency and population inversion density of active medium for random lasing. Light amplification defined as the ratio of radiative powers between excited and non-excited states of the active medium is computed by changing both the frequency and the population inversion density of the active medium, which is modelled by the negative imaginary part of relative permittivity. The distributions of random lasing modes is strongly influenced by the lasing frequency. We also found that the localized modes that are strongly confined lasing modes in disordered structures do not appear in the frequency ranges in which mean free paths are approximately equal to the half-wavelength.
The modes of nonlinear propagation of the two-component electromagnetic pulses through optically uniaxial media containing resonant particles are studied. The features of their manifestation in the "dense" media and in the media with expressed positive and negative birefringences are discussed. It is shown that exponentially and rationally decreasing solutions of the system of material and wave equations allow us also to describe the propagation of the pulses of the self-induced transparency in isotropic media in the case, when the direct electric dipole-dipole interaction between the resonant particles is taken into account.
The pulsing random lasing from the Rh6G solution with TiO2 scattering particles is investigated by solving Maxwell’s equations and rate equations of electronic population simultaneously. The pumping rate is described by a time function with duration of tens or hundreds of femtoseconds. A one-dimensional (1D) dispersive model is proposed to explain the experiment results. The results indicate that although the dispersion in optical domain is relatively small, the random lasing depends strongly on the pumping process pumped by femtosecond-lasing pulses.
We investigate asymmetric stimulated photorefractive scattering (fanning) in the framework of a two-dimensional model, based on the solution of nonlinear material equations and parabolic equations for electromagnetic radiation. We focus on the spatial distribution of electromagnetic fields and the nonlinear refractive index generated by fanning. In the region of developed fanning the structure of the refractive index corresponds to regions of relatively smooth index with abrupt transitions between them. These transitions trace lines of zero field.