“…In the intermediate region 50 < Ω < 80, where the internal perturbations are less profound, the edge flow perturbations increase due to the relatively small increment values. In this region, the dependences of the frequency Ω and the increment Γ on Ω 0 are similar to those observed when only the edge flow perturbations are considered [10]. An effect of frequency pulling of the edge modes is observed here.…”
Section: Perturbation Frequencies and Incrementssupporting
confidence: 82%
“…A I Fedoseev 1 , A V Mushenkov 1 , A I Odintsov 1 and A P Smirnov 2 observed [10]. However, the simplified model of weak inhomogeneity that was used in the above calculations prevented the resonant properties of the perturbations being studied in detail.…”
Section: The Gradient Waves Of Perturbations As An Instability Factor...mentioning
confidence: 99%
“…The simulations were made for cylindrical mirror UC in a 1D ray approximation (figure 1). The active medium was described by a simplified model with one relaxation constant [10].…”
Section: Model and Main Equationsmentioning
confidence: 99%
“…The contribution of the internal perturbation in increment ( )/τ g Re 0 1 c turns out to be frequency-independent for relaxation oscillations at ( )/τ Ω = W 0 0 s c . This special case of non-resonant feedback has been considered elsewhere [10].…”
Section: Analytical Modelmentioning
confidence: 99%
“…For example, the ruby laser active rod moving along the cavity axis modifies the lasing regime [1]. Gas lasers with a fast transverse flow of active medium through a resonator system may show instability and have various self-pulsing regimes, both regular and chaotic [2][3][4][5][6][7][8][9][10]. The mechanism of lasing instability is based on the feedback between different spatial parts of an optical cavity due to the medium motion.…”
We study the mechanism of the self-oscillation instability associated with the nonlinear interaction of radiation with a moving active medium in a fast-flow gas laser. The results of our analytical and numerical calculations of the frequencies and increments of the small self-oscillation perturbations in an unstable cavity of the laser with a non-uniform pumping rate are presented. In the analytical model the small perturbations of the gain in each point of the flow consist of two parts. The first part includes the 'local' perturbations that are not related to a motion of the medium. The second part includes the 'flow' perturbations that arise upstream of the flow due to the gradients of the pumping rate and the laser field intensity. These perturbations are carried by the flow in the form of traveling waves. The interference of the 'gradient' waves of the flow perturbations results in the resonant properties of the feedback produced by the flow. It is demonstrated that it is feasible to control the lasing regime based on these resonant properties of the feedback. The simulation of the nonlinear lasing regimes demonstrates that the conversion of continuous lasing into the periodical self-pulsing regime is not accompanied by a significant reduction in the average power output.
“…In the intermediate region 50 < Ω < 80, where the internal perturbations are less profound, the edge flow perturbations increase due to the relatively small increment values. In this region, the dependences of the frequency Ω and the increment Γ on Ω 0 are similar to those observed when only the edge flow perturbations are considered [10]. An effect of frequency pulling of the edge modes is observed here.…”
Section: Perturbation Frequencies and Incrementssupporting
confidence: 82%
“…A I Fedoseev 1 , A V Mushenkov 1 , A I Odintsov 1 and A P Smirnov 2 observed [10]. However, the simplified model of weak inhomogeneity that was used in the above calculations prevented the resonant properties of the perturbations being studied in detail.…”
Section: The Gradient Waves Of Perturbations As An Instability Factor...mentioning
confidence: 99%
“…The simulations were made for cylindrical mirror UC in a 1D ray approximation (figure 1). The active medium was described by a simplified model with one relaxation constant [10].…”
Section: Model and Main Equationsmentioning
confidence: 99%
“…The contribution of the internal perturbation in increment ( )/τ g Re 0 1 c turns out to be frequency-independent for relaxation oscillations at ( )/τ Ω = W 0 0 s c . This special case of non-resonant feedback has been considered elsewhere [10].…”
Section: Analytical Modelmentioning
confidence: 99%
“…For example, the ruby laser active rod moving along the cavity axis modifies the lasing regime [1]. Gas lasers with a fast transverse flow of active medium through a resonator system may show instability and have various self-pulsing regimes, both regular and chaotic [2][3][4][5][6][7][8][9][10]. The mechanism of lasing instability is based on the feedback between different spatial parts of an optical cavity due to the medium motion.…”
We study the mechanism of the self-oscillation instability associated with the nonlinear interaction of radiation with a moving active medium in a fast-flow gas laser. The results of our analytical and numerical calculations of the frequencies and increments of the small self-oscillation perturbations in an unstable cavity of the laser with a non-uniform pumping rate are presented. In the analytical model the small perturbations of the gain in each point of the flow consist of two parts. The first part includes the 'local' perturbations that are not related to a motion of the medium. The second part includes the 'flow' perturbations that arise upstream of the flow due to the gradients of the pumping rate and the laser field intensity. These perturbations are carried by the flow in the form of traveling waves. The interference of the 'gradient' waves of the flow perturbations results in the resonant properties of the feedback produced by the flow. It is demonstrated that it is feasible to control the lasing regime based on these resonant properties of the feedback. The simulation of the nonlinear lasing regimes demonstrates that the conversion of continuous lasing into the periodical self-pulsing regime is not accompanied by a significant reduction in the average power output.
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