2-Methylbenzaldehyde Purity 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 unique laser intensities. four.two. Option of Optimal Laser Linewidth In practice, when the recoil effects have to be dropped, and also the laser is essential to modulate the intensity distribution in Equation (five). The linewidth broadening in the laser intensity distribution aims at achieving the maximal excitation probability of mesospheric sodium atoms. The maximal Epoxiconazole manufacturer average spontaneous emission rate is essential. Consequently, we simulate the average spontaneous emission prices by the linewidth broadening from 0 to 1.0 GHz. In light of Equations (2)9), the typical spontaneous emission prices together with the intensity from 0 to 1500 W/m2 are simulated in Figures 6 and 7.Figure 6. Average spontaneous emission rates vs. linewidth and intensity from five to 150 W/m2 .Atmosphere 2021, 12,ten ofFigure 7. Typical spontaneous emission rates vs. linewidth and intensity from 150 to 1500 W/m2 .Figures 6 and 7 show that the peak values of average spontaneous emission prices change 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 larger linewidth, the average spontaneous emission prices rather drop. Inside the case of reduced intensity, the laser linewidth broadening finitely gains the average spontaneous emission prices in the array of l00 MHz. However, it truly is not that the wider linewidth can obtain the very best effect, but that the typical spontaneous emission rates possess a maximum for the linewidth from 1 MHz to 100 MHz. On the other hand, L the typical spontaneous emission price at v D = 0 MHz is decrease than the peak values. In Figures 6 and 7, the peak values of average spontaneous emission prices would be the very same in terms of linewidth. We hope that the linewidth broadening of laser intensity distributions makes the typical spontaneous emission price maximal. Figures 8 and 9 simulate the typical spontaneous emission prices for laser linewidth from 1 to 103 MHz and laser intensity from five to 1500 W/m2 .Figure eight. Average spontaneous emission prices for laser linewidth from three to 103 MHz and laser intensity I = five – 150 W/m2 .Atmosphere 2021, 12,11 ofFigure 9. Typical spontaneous emission rates for laser linewidth from 3 to 103 MHz and laser intensity I = 150 – 1500 W/m2 .Figures 8 and 9 indicate that the peak values of typical spontaneous emission rates are between 1 MHz and 100 MHz for an intensity from five W/m2 to 1500 W/m2 . For that reason, the laser linewidth is taken as the worth in between 1 MHz and 100 MHz. Figure ten demonstrates L the relation among laser linewidth at v D = 0, 1, 10, one hundred MHz and average spontaneous emission rates. L By comparing typical spontaneous emission prices for each linewidth at v D = 0, 1, L =0 MHz and ap10, one hundred MHz, the average spontaneous emission rates are lowest at v D L proximately equal for linewidth at v D = 1, ten, one hundred MHz. This implies more return photons L = 1, ten, one hundred MHz. The laser linewidth at v L = ten MHz i.
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