## 4 Experimental Results  
Figures 5 and 6 display the \"raw\" dependencies \(\langle l(\lambda)\rangle,\langle l^{2}(\lambda)\rangle,\langle l^{3}(\lambda)\rangle\) obtained in the course of scanning of the examined TiO\({}_{2}\)- and SiO\({}_{2}\)-based fluorescent systems within the spectral range from 600 nm to 900 nm, which corresponds to a long-wavelength region of fluorescence emission of the Rhodamine 6G solution. Figure 7 shows the fragments (600 nm-800 nm) of the smoothed and normalized emission spectra \(\langle l(\lambda)\rangle/\langle l(600)\rangle\) obtained for pure solution of Rhodamine 6G (1) and two examined dye-impregnated fluorescent systems in the scan mode. Note the practical identity of the spectra (1), (2), and a long-wavelength expansion of the spectrum for the TiO\({}_{2}\)-based system (3). In addition, the integrated spectral outputs of the excited fluorescence \(Q=\int\limits_{600}^{900}\langle l(\lambda)\rangle d\lambda\) for the silica  
Figure 4: The recovered spectral dependencies of the transport mean free path for the examined systems in the wet state. Selectively shown error bars correspond to a confidence level of 0.9.  
and titania-based systems under the same excitation and detection conditions differ by more than ten times: \(Q_{TiO_{2}}/Q_{SiO_{2}}\approx 15.26\).  
Evidence of the stochastic interference effect of partial fluorescence waves on fluctuations in the detected optical signal is illustrated by Figures 8 and 9; the presented \(\left\langle I^{3}(\lambda)\right\rangle/\left\langle I(\lambda)\right\rangle^{3}\) dependencies were obtained using both \"static\" and scanning modes: the recording and time averaging of the fluorescence spectra from the pure Rhodamine 6G solution (1, the noise-accounting mode, see Section 3.2), recording and time averaging of the fluorescence spectra for the TiO\({}_{2}\)- and SiO\({}_{2}\)-based system in the fixed zone without scanning (2, the noise-accounting mode), and recording and ensemble averaging of the fluorescence spectra for the titania- and silica-based system in the course of scanning (3, the working mode) are similar.  
Figure 5: Spectral dependencies of the statistical moments of fluorescence intensity fluctuations obtained in the course of the TiO\({}_{2}\) sample scanning. 1—\(\left\langle I\right\rangle\); 2—\(\left\langle I^{2}\right\rangle\); 3—\(\left\langle I^{3}\right\rangle\).  
Figure 6: Spectral dependencies of the statistical moments of fluorescence intensity fluctuations obtained in the course of the SiO\({}_{2}\) sample scanning. 1—(_I_); 2—(_I_2); 3—(_I_3).  
Figure 7: The normalized fluorescence spectra of the examined samples; 1—pure dye solution (“static” mode); 2—SiO\({}_{2}\)-based system (scan mode); 3—TiO\({}_{2}\)-based system (scan mode).  
Figure 8: Wavelength-dependent values of the normalized third-order moment of intensity fluctuations in the examined spectral region for the TiO\({}_{2}\)-based system in the “static” (2) and scan (3) modes. The values of \(\left\langle l^{3}(\lambda)\right\rangle/\left\langle l(\lambda)\right\rangle^{3}\) for the dye solution (1) are given for reference.  
Figure 9: The same as in Figure 8 for the SiO\({}_{2}\)-based (b) system.