The optical electric field distribution of the proposed structure was simulated at the wavelength and is shown in Fig. 2(b). As can be seen, the resonance phenomenon appeared clearly in the micro-ring structure, and the coupling among double microrings was observed.
Therefore, the field amplitude distribution inside the rhodamine layer was simulated and shown in Fig. 2(c). As seen, the field amplitude distribution in this layer is very weak, so PVP layer has enhanced the field amplitude significantly.
For a more detailed investigation, the field amplitude distribution in X-Z plane was calculated (Fig. 2(d)), where the boundary between the different layers also observed. As can be observed, light is trapped within the structure, and the resonance phenomena has happened, which may have a direct impact on the improved signal-to-noise ratio and resolution of imaging via RL.
The characteristic of a random laser in plasmonic nanostructures can be discussed in our results by changing the dye concentration in the top layer of the samples to study its effects on the lasing threshold, FWHM, and peak intensity which are considered the most important laser parameters.
The measured results represented in Fig (3) in two samples of two-dimensional microcavity array gain media, show that the emission spectrum increased by increasing the dye concentration
The reason for this can be attributed to increasing the concentration of dye in a thin film structure and the gain will increase until the net gain reaches its maximum, which can affect how light is scattered and amplified within the medium, potentially altering the dynamics of the random lasing process, and thus enhance the overall gain of the medium, potentially leading to stronger laser emission with lower threshold due to more available ions participating in the stimulated emission process. However, there is a limit to how much more dye concentration can be added before it starts to have a detrimental impact. If this limit is not effectively handled, increased heat production during operation might compromise the stability and performance of the random laser. In the lower dye concentration thin film structure, the percentage of gain is less than that of dye with a high concentration, this leads to a lower number of active ions available for stimulated emission, leading to reduced overall gain resulting in a reduction in the emission spectrum, and increased lasing threshold.
As we can see in Fig. 3(a), when pumping the sample with low dye concentration 10-5 M by low energy of 0.85 mJ the emission spectrum of sample shows a broad spontaneous emission spectrum, and the full width at half maximum (FWHM) of this energy is approximately 12.5 nm and decreases slightly to reach 10 nm at 2.62 mJ. These results indicate that the pump energy is lower than the sample's laser threshold energy. When the pump energy is raised over the threshold energy of 3.17 mJ, the sample's emission spectrum exhibits sharp peaks with a smaller FWHM and higher intensity. This behavior continues as the energy pumping increases until FWHM reaches 6 nm with peak intensity 49.765 (a.u.) at higher energy pumping 5.11 mJ. Above threshold energy 3.17 mJ, the emission spectrum of sample shows sharp peaks with reduced FWHM and increased intensity of the emission spectrum. This behavior continues as the energy pumping increases until the FWHM reaches 6 nm with peak intensity 49.765 (a.u.) at higher energy pumping 5.11 mJ.
Compared to the emission spectrum of samples with dye concentration 10-5 M with samples with concentration 10-4 M, the emission spectrum of last sample shows a significant red-shift of 3 nm. These transformations can be interpreted as the result of a process of re-absorption and re-emission that occurs when the transition between the ground state and the first excited singlet of dye molecule. In other words, the reabsorption efficiency of the dye is enhanced in terms of the presence of Au nanostructure.
At lower energy pumping of the sample with dye concentration 10-4 where one can see that the value of (FWHM) is approximately 2.8 nm, and decreases slightly to reach 1.4 nm at 1.42 mJ, above this energy, reduced FWHM to 2 nm, and increased the intensity of emission spectrum, when energy pumping increases to 5.11 mJ the value of FWHM reaches 1.4nm with peak intensity 59.386 (a.u.) at higher energy pumping 5.11 mJ as shown in Fig (3 c).
On the one hand, the waveguide of 2D-MCA enhances the electromagnetic field in their vicinity of plasmonic excitation wavelength. In order to acquire a better understanding of the plasmonic improvement of random laser characteristics in MCAs with Au and G NPs, we cover the final samples with PVP polymer in the inset of Figure (1). The emission spectrum in this case is enhanced significantly in the vicinity of samples due to LSPR.
On the other hand, the scattering strength is enhanced by adding a PVP layer onto the samples, especially at the LSPR wavelength, the formation process of random laser and the description of the recurrent multiple scattering between the substrate and PVP layer.
Because of the recurrent multiple scattering in the waveguide structure, the diffusion coefficient is efficiently decreased to form spatially localized modes, in terms of multiple refractions, thus the dwelling time of the light is markedly increased. When the gain exceeds the loss, the emission spectrum of a two-dimensional microcavity array with a PVP layer at different pump energies is studied as shown in Fig. 4.
Where the random laser's emission spectrum (peak intensity, FWHM, and lasing threshold) appears to have improved following the addition of the PVP polymer. The increase in the emission intensity after adding the polymeric material for both two concentrations compared to previous results without polymer where the emission peak increases from 49.765 (a.u.) to 53.639 a.u. for the sample with dye concentration 10-5 M, while it increases from 59.386 (a.u.) to 67.731 a.u. for the sample with 10-4 M. Also the effect of the polymeric material on narrowing the emission spectrum, as the FWHM decreases from 6 nm to 5 nm for the sample with dye concentration 10-5 M while from 1.4 nm to 1.2 for the sample with dye concentration 10-4 M. while confirms the decrease in the laser threshold when adding the polymeric PVP material to the solutions, so the laser threshold decreases from 2.62 mJ to 1.95 mJ for the sample with dye concentration 10-5 M while it decreases from 1.95 to 1.42 mJ for the sample with dye concentration 10-5 M.
The waveguide of polymeric materials is a critical component of random lasers, and it is responsible for the noticeable and tangible enhancements in their features.
Now after RL recording and in the same time, we record the images of mouse tissue by the CCD camera as mentioned above in experimental part for tissue 200 micrometer thicknesses under four different pumping energy by the best sample by PVP wave guiding effect. Figures 5 shows the CCD image of mouse tissue with 200 micrometer thickness for the same pumping intensity, and correspondence concentrations and structures of Fig. 4 (a to d). It is obvious that we have the best resolution, more hot spots in the mouse tissue imaging by the sample with PVP wave guiding effect and in 10-4 concentrations as shown in Fig. 4(d).