Act, the linewidth broadening method is utilized to modulate the intensity distribution on the laser within the spectrum to weaken recoil effects. The linewidth of the continuous wave laser is always significantly less than 1 MHz, which is theoretically regarded as 0 MHz. We anticipate that there is a laser modulation technology which will be applied to broaden the laser linewidth from 0 MHz or tens of kHz to above 1 MHz. As much as now, Chamoun and Digonnet [7] have proposed a Gaussian white noise (GWN) phase modulation to broaden the laser linewidth which makes use of the linear Pockels effect of your electro-optic crystal by an Diflucortolone valerate Protocol external electric field. Its advantages lie in that the laser wavelength can stay steady, along with the modulated laser linewidth is independent in the all-natural linewidth on the laser. By the theoretical models plus the numerical simulations, the return photons in the sodium laser guide star excited by the continuous wave (CW) laser are calculated. The study results show that the linewidth broadening process markedly increases the return photons. Within the approach on the research, theoretical models are presented in Section two. The steady state option from the two-level Bloch equation is applied inside the excitation probability of sodium atoms. The typical spontaneous emission rate of excited sodium atoms is introduced. The expressions of return photons and spot sizes of the sodium laser guide star are described. In Section three, the numerical method is described in detail as well as the parameters are listed. In Section four, results from the numerical simulations are obtained. Effective evidence indicates that linewidth broadening can efficiently weaken the recoil effects. Then, the choice in the optimal linewidth broadening is analyzed, and relational expressions involving laser intensity and average spontaneous emission prices are obtained. In Section 5, we go over the effects of linewidth broadening on the return photons and spot sizes of your sodium laser guide star and contemplate the linewidth broadening for the re-pumping laser. In particular, we further simulate the influence of linewidth broadening on the recoil effects from the sodium laser guide star within the case of your multi-mode laser. Finally, we summarize our function, such as the optimal selection of laser linewidth broadening plus the effect on the returned photons from the sodium laser guide star. 2. Theoretical Models The excitation from the sodium laser guide star Xaliproden Dopamine Receptor demands to launch the sodium laser for the mesospheric sodium layer. Below the usual conditions, the spectrum center of the laser is required to aim at the center frequency of the Doppler shifts of your sodium atom beneath the thermal equilibrium states. The single-mode mono-mode CW laser is applied in the sodium laser guide star and has the highest intensity within the spectrum center. An awesome deal of sodium atoms move to a larger Doppler shift following absorbing laser photons, and the Doppler shift increases 50 kHz. This process is usually described as follows [8]: v D = D + h/ 2 m Na (1)= D + 50 kHz,exactly where v D would be the Doppler shift soon after a sodium atom absorbs a photon, v D will be the former Doppler shift, h is definitely the Plank continuous, is the 589.159 nm wavelengths, and m Na is definitely the mass of a sodium atom. “+” denotes the motion of a sodium atom together with the direction of laser propagation, and “-” denotes the opposite one. We consider the predicament of two power levels for interactions in between the circularly polarized laser and sodium atoms. This method is described by the optical.