Random lasers (RL) are unique sources of stimulated emission in which the feedback is provided by scattering in a gain medium [1,2]. Random laser effects have been observed in a variety of organic and inorganic gain media including powders of solid-state luminescent and laser crystals [3,4], liquid laser dyes with scatterers [5], polymeric films with and without intentionally introduced scatterers [6], ZnO scattering films and nanoclusters [7], dye-infiltrated opals [8], porous media infiltrated with liquid crystals with dyes [9] and many others. Random lasers are very attractive for a variety of applications, low coherent random laser sources can be advantageous in holography, laser inertial confinement fusion (driver sources for megajoule lasers), transport of energy in fibers for medical applications, and other applications, detailed reviews of random lasers can be found in [10,11]. Random lasers are strongly scattering media that amplify light. There are striking similarities between these systems and more conventional lasers based on a gain medium enclosed in a cavity with two mirrors to provide optical feedback. An example is the observation of a threshold for lasing action and frequency narrowing in random lasers. Evidently, the optical properties of random lasers are quite different from those of conventional lasers: The propagation of pump and fluorescence light is diffusive in a random laser. In contrast with cavity systems, scattering is actually advantageous. Since feedback is provided by multiple scattering, the random laser threshold is lowered by a stronger scattering, i.e., a shorter transport mean free path, because the feedback is more efficient. It has been shown that the threshold in random lasers is reduced dramatically when the photon transport mean free path approaches the stimulated emission wavelength [12].

On other hand, gain narrowing denotes a decrease of the width of the spectrum of the emitted light triggered by an increase in the pump fluence. The width will be characterized by the at full width half maximum (FWHM). Gain narrowing is observed in all laser systems [13]. In a random laser the FWHM of the spectrum of the emitted light below the threshold of the laser is approximately the width of the emission spectrum of the gain medium (typical 40 nm) for R6G. However, far above threshold, this FWHM can be as narrow as 10 nm. A measure for the gain narrowing is the narrowing factor NF, defined as the FWHM of the emitted light below threshold (FWHM below) divided by the FWHM of the emission spectrum of a random laser far above threshold (FWHM above) [14,15].

In this work, random gain medium based on mixtures of suspended TiO₂ nanoparticles of different concentrations and were mixed with R590 and the polymer PMMA was used as a host [16], from fluorescence measurements of the above concentrations, it was noticed that a TiO₂ concentration of 10^–4 mol/l had the highest intensity and the narrowest bandwidth for film samples. At this optimum TiO₂ nanoparticles concentration, the emission intensity spectra at different Nd: YAG pumping energies were investigated to determine the lasing threshold [17].

The liquid samples derived from mixing R590 dye and TiO₂ nanoparticles in the suspension, which are prepared as random gain media. In these samples, the TiO₂ nanoparticles have not been dissolved and are mixed within the solutions (but have not changed the color of the solutions even at high concentrations of TiO₂ nanoparticles).

The film samples, which are prepared by the spray pyrolysed technique. These samples are shown to be highly homogeneous. The reason for the homogeneity of the prepared films is due to several factors such as selecting the special appropriate parameters of the chemical spray technique like the number of sprays and the substrate temperature (maintained fixed at 80˚C). Furthermore, the spraying is done in an isolated ambient (i.e., clean atmosphere). On the other hand, the incorporation of the PMMA polymer as a host for both the R590 dye and the TiO₂ nanoparticles has an advantage of obtaining transparent and homogeneous films in view of the many benefits it possesses such as the good compatibility in the laser dyes and the high optical homogeneity.

The photo stability obviously increases when the dye chromoform bind with the polymer chains. It’s for these reasons the polymer could be chosen as a host. These media are characterized by having appropriate thermal optical coefficients as well as they work in a wide temperature range and in small volumes.

The absorption and fluorescence spectra are recorded of all prepared samples as a function of concentrations of both R590 dye (as active molecules) and TiO₂ nanoparticles (as scatter center). These measurements give us an indication about the optimum concentrations for the samples which are prepared as random gain media.

Film samples as shown in Figure 6 the results showed

that the addition of the polymer PMMA as a host to R590 dye and TiO₂ nanoparticles causes a red shift in the absorption spectrum as compared to solutions without polymer. This is due to the increase in the perturbation field among molecules in addition to dimer formation as a result of dye molecules aggregation giving rise to its being absorbed at a higher energy than that of the monomers and being emitted at a lower energy.

Upon mixing the different solution concentrations of the R590 dye with PMMA polymer as a host medium and measuring the fluorescence spectra, the obtained results revealed that the 10^–4 mole/liter dye concentration within the polymer is the premium as illustrated in Figure 7, concerning the fluorescence spectra of these samples a red shift has been observed owing to the fact that increasing the concentration increases the molecules number per unit volume as well, i.e., increasing collisions between these molecules. This results in certain energy loss as heat and consequently, the shift to longer wave-lengths of emission occurred.

Shows Figure 8 the fluorescence spectra of dye solution of a concentration of 10^–4 mole/liter and at different TiO₂ nanoparticles concentrations and from which the optimum 8.56 × 10¹⁵ cm^–3 TiO₂ nanoparticles concentrations has been selected where it has not changed the dye fluorescence and never quenched it by scattering. The dye and TiO₂ nanoparticles concentrations that have been selected are therefore considered to be essentially the optimum where the presence of TiO₂ nanoparticles scatterers has not affected the spectral response of the prepared samples being present within the host medium.

The combining of R590 dye within polymer PMMA host as an active laser medium decreases degradation of the dye. These active media have eliminated the use of large volumes of organic solvents and in addition, it involves other benefits like good compatible with the dyes and the optical homogeneity, these media enabled the use of high-concentration dyes without dimer formation and dye quenching. It can be noticed that the increase of polymer solution solidity prevents the disintegration of excited dye molecule resulting from the photo chemical reactions. Thus, the dye stability increases and the fluorescence intensity increases as well. This is a result of dimer disintegration that ends the absorption process at the re-absorption fluorescence.

The polymer PMMA film samples doped with R590 dye and TiO₂ nanoparticles have been prepared in which the TiO₂ nanoparticles are randomly distributed within the PMMA host. These particles scatter photons and increased the path length photon walking in the film and cause amplified spontaneous emission (incoherent laser).

The AES emission intensity variation with the wavelength for the different excitation energies of the film selected sample, it can be noticed from these spectra that the emission intensity increases and the FWHM decreases within the 5 - 40 mJ range increase of the excitation energy. For the film sample under study, the obtained narrowest bandwidth at FWHM is 11 nm. This dependence is more clarified in the Figure 9 plotted for comparison purpose. In accordance with optimum the dye concentration of 10^–4 mole/l, the maximum intensity peak occurs at 567 nm for all the plots.

The evaluation of the film threshold energy (E_th = 10 mJ) at which the gain exceeds the loss, the dependence of the emission intensity and the FWHM on the excitation energy are shown in Figure 10, which confirms what has already been mentioned above. Hong et al. and reported a similar result.

Random gain medium is synthesized via spray coating technique. The statistical spectroscopic studies of the concentrations of both R590 dye and TiO₂ nanoparticles scatter centers were achieved giving an indication about the optimum required concentrations. The results of RL measurements show that the minimum bandwidth at FWHM is ~11 nm at 40 mJ for the film sample at 10^–4 R590 mol/l and TiO₂. Was observed for homogenously prepared spray-coated film sample these results are not far away from the ones reported elsewhere [4,6,12,17].