<p>The possibility of the formation of a two-frequency light bullet in the second harmonic generation regime in the absence of phase and group velocity matching has been analytically examined. The case where the group velocity dispersion parameter at the frequency of the second harmonic is zero is considered. In this case, this parameter at the fundamental frequency should be negative. It has been shown that the formation of the two-frequency light bullet is insensitive to the sign of the detuning of the group velocities at the fundamental and second harmonic frequencies. At the same time, it is very sensitive to the sign of the detuning between the corresponding refractive indices. Phase and group velocity mismatches lead to upper bounds on the duration and transverse size of the light bullet, as well as to a lower bound on the efficiency of the second-harmonic generation.</p>

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Two-Frequency Light Bullets in the Absence of Phase and Group Velocity Matching

  • S. V. Sazonov

摘要

The possibility of the formation of a two-frequency light bullet in the second harmonic generation regime in the absence of phase and group velocity matching has been analytically examined. The case where the group velocity dispersion parameter at the frequency of the second harmonic is zero is considered. In this case, this parameter at the fundamental frequency should be negative. It has been shown that the formation of the two-frequency light bullet is insensitive to the sign of the detuning of the group velocities at the fundamental and second harmonic frequencies. At the same time, it is very sensitive to the sign of the detuning between the corresponding refractive indices. Phase and group velocity mismatches lead to upper bounds on the duration and transverse size of the light bullet, as well as to a lower bound on the efficiency of the second-harmonic generation.