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By L. T. Chen

"Atomic, Molecular, and Optical Physics" is the learn of topic - subject and light-matter interactions at the scale of unmarried atoms or buildings containing a couple of atoms. the 3 parts are grouped jointly due to their interrelationships, the similarity of tools used, and the commonality of the strength scales which are appropriate. All 3 parts contain either classical and quantum remedies. This publication provides the newest examine from worldwide.

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Example text

In addition, the calculations in field-amplitude evaluations will be performed up to the fifth order. Returning back to the case studied in this paper, it is well known that amplitude fieldswitching does not always characterize the solutions of Eqs. (1). The analytical solutions in this case can be obtained by leaving the constraint of zero mean-value. In these cases, the small harmonic expansion method is closer to the weak-side band approach, and the characteristics of the long-term solutions can be obtained provided the harmonic expansion does not constrain the system to an evolution around the stationary state.

After these few qualitative elements, let us turn back to quantitative considerations. In order to clearly distinguish between the results of the small side-band approach and those of the strong harmonic expansion method, we have represented in Fig. 8a and 8b the graphical solutions that give the long term and the transient operating frequencies for the same parameter values. The frequency obtained with Fig. 8b exactly matches the value of the relaxation frequency while that of Fig. 8a corresponds to the long-term solution.

1 and Es = 1; b) instantaneous snapshots of the spectral profiles during the temporal evolution of the oscillations of Figure a), as simulated from Eqs 1. Note that the gain profile undergoes a much stronger distortion effect than in Fig 13b). Saturation effects are extended to the lateral part of the profile. Note the lateral hole burning effect during part of the evolution. A competing effect between some localized lateral components and the center of the profile clearly appears. Note, likewise that the spectral components situated outside the range [-5, 5] do not contribute efficiently to the dynamic evolution of the system.

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