Ributions of sodium atoms with recoil for I = 50 W/m2 , one hundred W/m2 , and 150 W/m2 for 0 MHz linewidth.Atmosphere 2021, 12,9 ofFigure five. Normalized distributions of sodium atoms with linewidth broadening for I = 50 W/m2 , 100 W/m2 , and 150 W/m2 for 0 MHz linewidth.Figure 4 shows that higher intensity causes extra drastic recoil and aggravates the adverse circumstances. Simultaneously, the greater intensity makes sodium atoms drift for the larger Doppler frequency shifts. Figure 5 reveals that the linewidth broadening approach can properly alleviate the recoil effects for distinct laser intensities. four.2. Choice of Optimal Laser Linewidth In practice, if the recoil effects need to be dropped, and the laser is required to modulate the intensity Bevantolol custom synthesis distribution in Equation (5). The linewidth broadening in the laser intensity distribution aims at reaching the maximal excitation probability of mesospheric sodium atoms. The maximal average spontaneous Cefalonium In Vivo emission price is necessary. Therefore, we simulate the typical spontaneous emission rates by the linewidth broadening from 0 to 1.0 GHz. In light of Equations (2)9), the typical spontaneous emission rates using the intensity from 0 to 1500 W/m2 are simulated in Figures six and 7.Figure six. Average spontaneous emission prices vs. linewidth and intensity from 5 to 150 W/m2 .Atmosphere 2021, 12,10 ofFigure 7. Typical spontaneous emission rates vs. linewidth and intensity from 150 to 1500 W/m2 .Figures six and 7 show that the peak values of typical spontaneous emission rates modify with the laser linewidth and intensity. The high intensity enhances the peak values of typical spontaneous emission rates. When the laser is broadened to a bigger linewidth, the average spontaneous emission prices as an alternative drop. In the case of reduced intensity, the laser linewidth broadening finitely gains the average spontaneous emission prices inside the range of l00 MHz. Nonetheless, it truly is not that the wider linewidth can obtain the ideal effect, but that the average spontaneous emission rates possess a maximum for the linewidth from 1 MHz to one hundred MHz. Even so, L the typical spontaneous emission rate at v D = 0 MHz is lower than the peak values. In Figures 6 and 7, the peak values of typical spontaneous emission prices will be the very same with regards to linewidth. We hope that the linewidth broadening of laser intensity distributions makes the average spontaneous emission price maximal. Figures 8 and 9 simulate the average spontaneous emission rates for laser linewidth from 1 to 103 MHz and laser intensity from five to 1500 W/m2 .Figure eight. Typical spontaneous emission prices for laser linewidth from 3 to 103 MHz and laser intensity I = 5 – 150 W/m2 .Atmosphere 2021, 12,11 ofFigure 9. Average spontaneous emission rates for laser linewidth from three to 103 MHz and laser intensity I = 150 – 1500 W/m2 .Figures eight and 9 indicate that the peak values of average spontaneous emission prices are amongst 1 MHz and 100 MHz for an intensity from five W/m2 to 1500 W/m2 . For that reason, the laser linewidth is taken because the value in between 1 MHz and one hundred MHz. Figure 10 demonstrates L the relation in between laser linewidth at v D = 0, 1, ten, 100 MHz and typical spontaneous emission rates. L By comparing typical spontaneous emission rates for every single linewidth at v D = 0, 1, L =0 MHz and ap10, one hundred MHz, the typical spontaneous emission rates are lowest at v D L proximately equal for linewidth at v D = 1, ten, 100 MHz. This implies extra return photons L = 1, 10, 100 MHz. The laser linewidth at v L = 10 MHz i.
