Characteristics of picosecond pulses generated from synchronously pumped cw dye laser system

Analysis of a synchronously mode-locked and internally frequency-doubled CW dye laser

“…The fundamental equations provide a complete de· scription of cavity length detuning characteristics of the SMLFD dye laser. That is, these can determine the duration where Es is the saturation value [4]. The substitution of (12) and (13) into 0 and 7 in (II) enables us to describe g in (14)…”

“…After passage through the medium, the pulse envelope becomes (2) by using the single-pass gain G(t) [4]. The gain at the line center in the case where the duration of the pumping pulse is much longer than that of the dye pulse is expressed by (3) in tenns of an effective gain factor…”

“…Equation (14) with the use of (15) and (16) enables us to determine the pulse energy of the fundamental wave in the SMLFD dye laser. When the second term in (15) is neglected without the intracavity SHG effect, (14) corresponds to (9) in [4] for the usual SMLlaser. Next, we describe the pulse duration of the fundamental wave in terms of the system parameters in the SMLFD dye laser.…”

“…Kim et al_ [4] presented an analysis on the SML laser in the time domain by the self-consistent approach describing the steady-state pulse properties in terms of the system parameters. In the analysis it was shown that the pulse duration is detennined by t power of the duration of pumping pulses and inverse t power of the bandwidth of a frequency tuning element.…”

“…This is a consequence of the application of the approximate solution to the single-pass gain G(t) of the active medium. The G(t) in (3) has been obtained by making Taylor expansion to second order in time about the peak location of the dye pulse since the gain modulation of interest is the change near the peak of G(t) within the duration of its pulse [4), [5J. The expansion is valid only near the pulse peak in the vicinity of the gain peak, but not in the wings.…”