Detailed experimental observations of the modulation instability in the frequency and time domains were made on the THz NovoFEL by a Fourier spectrometer and an ultrafast Schottky diode detector. The regime stabilized by negative detuning between the electron and light frequencies is shown to transform into a multimode one with coherent modulation of the light pulse. Further decrease in the stabilization factor leads, for a high gain, to an unstable regime at the resonance frequency. In this regime, a light pulse splits into incoherent sub-pulses with a duration equal to the slippage length divided by the light velocity. The generation of one short sub-pulse is possible for small positive detuning.
I. RESULTST he Novosibirsk terahertz free electron laser (THz NovoFEL) generates a continuous train of sufficiently long (100−150 ps) pulses [1]. This peculiarity allows us to have a narrow laser line. However, this is possible only when the modulation instability is suppressed [2]. The instability period T = L s /c = Nλ/c = 30−60 ps, where L s is the slippage length, N = 74 is the number of poles in the undulator, and λ is the wavelength. Negative detuning between the electron and light repetition frequencies is an efficient method of instability suppression (Figs.1 and 2). Earlier we observed the modulation instability and its suppression in the frequency domain by a Fourier spectrometer showing spectra and coherence. The instability was practically not observed in the time domain, because it was impossible to measure it by our sampling oscilloscope because of a jitter of perturbations from pulse to pulse [2]. Now we use our ultrafast Schottky diode detector [3] connected to a direct 30 GHz LeCroy oscilloscope, and have a full and clear picture of the phenomenon in the time domain (Fig.2). One can see that full coherent stabilized regime #1 transforms to multimode regime with correlated sub-pulses #2, where the sub-pulses with a slippage period appear as a result of the stabilization factor decrease. Then the sub-pulses became practically uncorrelated at resonance point #3. In the resonance, we have the shortest coherence length, which is approximately equal to the length of one sub-pulse and the widest spectrum. For positive detuning we observe a decrease in the number of generated low correlated sub-pulses with a practically constant maximal pulse power due to the saturation effect (#4−#5). The last regime (#5) can be used for some applications when a shortpulse radiation is needed. The measurement of the light pulse structure is not only necessary for studying the instability, but has a routine application in determination of a real laser pulse power. Thus, the maximal pulse power of NovoFEL was about 400 kW in the regime with a repetition frequency of 11.2 MHz and a cw power of 400 W, and about 250 kW in the regime with a repetition frequency of 22.4 MHz and a cw power of 500 W.Modulation instability greatly affects the possible level of high harmonics in the NovoFEL facility. In the entire THz NovoFEL spectral r...