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[en] We present an analytical approach to the theory of optical pulses with superbroad spectrum propagated in air. The corresponding modified amplitude envelope equation admits oscillated with terahertz frequency nonlinear term The fluctuation is due to the group and phase velocity difference. In the partial case of femtosecond pulses with power, little above the critical for self-focusing, exact (3+1)D particle-like solution is found.
[en] Recently energy exchange between two filaments crossing at small angle and with power slightly above the critical for self-focusing Pcr was experimentally demonstrated. In this paper we present a model describing the process of this transfer through degenerate four-photon parametric mixing. Our model confirms the experimental results that the direction of energy exchange depends on the relative transverse velocity (incident angle), laser intensity and initial distance between the pulses (relative initial phase)
[en] We investigate nonlinear interaction between collinear femtosecond laser pulses with power slightly above the critical for self-focusing P_c_r trough the processes of cross-phase modulation (CPM) and degenerate four-photon parametric mixing (FPPM). When there is no initial phase difference between the pulses we observe attraction between pulses due to CPM. The final result is merging between the pulses in a single filament with higher power. By method of moments it is found that the attraction depends on the distance between the pulses and has potential character. In the second case we study energy exchange between filaments. This process is described through FPPM scheme and requests initial phase difference between the waves
[en] We investigate two types of nonlinear interaction between collinear femtosecond laser pulses with power slightly above the critical for self-focusing . In the first case we study energy exchange between filaments. The model describes this process through a degenerate four-photon parametric mixing (FPPM) scheme and requests initial phase difference between the waves. When there is no initial phase difference between the pulses, the FPPM process does not work. In this case the second type of interaction is obtained as merging between two, three or four filaments in a single filament with higher power. It is found that in the second case the interflow between the filaments has the potential for interaction due to cross-phase modulation (CPM). (paper)
[en] Attosecond optical pulses with one-two cycles under the envelope diffract in nonparaxial regime on several diffraction lengths. Their intensity profile takes a form similar to Fraunhofer distribution. An analytical theory was developed, where was pointed, that such type of diffraction depends on the spectral width of the optical pulse. In this paper is shown that even for a broad-band phase-modulated femtosecond pulses the diffraction is also of Fraunhofer type