Parametric Four-Wave Mixing in Low Atomic Densities of Potassium Vapor

Saturation and population transfer of a two-photon excited four-level potassium atom

“…In this case, it was estimated that the ratio of the frequencies of the two generated photons is equal to the ratio of the corresponding intensities. Specifically, in the case of the potassium atom, it was shown that the ratio int n of the peak intensities of the PFWM generated fields close to the [8]. It was also shown that for sodium [1,4] and potassium [6,8] atoms, the pumping laser intensity and the atom number density are crucial factors that determine whether the destructive QI effect is insignificant (nonlinear region) or dominant (linear region).…”

“…Specifically, in the case of the potassium atom, it was shown that the ratio int n of the peak intensities of the PFWM generated fields close to the [8]. It was also shown that for sodium [1,4] and potassium [6,8] atoms, the pumping laser intensity and the atom number density are crucial factors that determine whether the destructive QI effect is insignificant (nonlinear region) or dominant (linear region). In order to elucidate the relative importance and complicated interplay of the various parameters of the driving laser and the atomic system, we have set out to model the dynamics of the laser-driven four-level system.…”

“…, where the complex amplitudes ( ) ij z, t ε are regarded as slowly varying in amplitude and phase within a period and a wavelength of the carrier wave (SVEA) [8].…”

“…In order to improve our understanding of the dynamics of the system, we have proceeded with a detailed formulation of the self-consistent propagation of all internally generated fields. A preliminary account of our results was presented in a conference paper [8] and a fuller, yet still partial and incomplete, account in a subsequent conference presentation [10].…”

“…In our previous work, we have shown experimentally [6] and theoretically [8] in the case of potassium atom that even photon QI resulting from two different excitation paths to the 1/2 6S excited state, one by the two photon pumping laser and another by the generated fields, can lead to a linear dependence of the emitted radiation field on the excitation intensity. In this case, it was estimated that the ratio of the frequencies of the two generated photons is equal to the ratio of the corresponding intensities.…”