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AbstractThe spectral gain of bound-to-continuum terahertz quantum cascade lasers (QCLs) is measured as a function of current density using terahertz time-domain spectroscopy.During lasing action the full width at half maximum (FWHM) of the gain is found to monotonically decrease with increasing current density until lasing action stops at which point the FWHM reaches a minimum (0.22THz for a laser operating at 2.1THz).Bandstructure calculations show that the spectral gain narrowing is due to the alignment and misalignment of the injector with the active region as a function of the applied bias field.3 Important progress on terahertz quantum cascade lasers (QCLs) has been achieved in the last few years leading to long wavelength 1 , high power 2 , low current operation 3 , and working temperatures up to 178K 4 . In order to realize further improvements, a better understanding of the gain formation mechanism, and its limiting factors are needed. To this end it is necessary to perform detailed measurements of the gain including its spectral shape. Previous studies have been performed for mid-infraredQCLs. For these measurements, electro-luminescence from a non-lasing cavity is coupledinto an adjacent cavity that shows laser action. 5 However, in the terahertz regime such electro-luminescence based studies are difficult, because of the reduced spontaneous emission at longer wavelengths. Electro-luminescence from the laser cavity has also been used to provide information on upper state lifetimes of terahertz QCLs. 6 In this case to avoid the effect of laser emission, the electro-luminescence from the laser cavity must be collected from a cleaved edge running though the middle of the laser. 7 Multiple probe pulses coupled into the QCL's end facets can also be used to investigate the temporal dynamics of the gain. Coherent population transfer and gain saturation have been observed with this technique at mid-infrared frequencies. 8,9 Recently, terahertz timedomain spectroscopy (TDS) has been shown to be a powerful technique to measure the gain spectra in terahertz QCLs. 10,11,12 Here, a broadband terahertz probe pulse is coupled into the QCL, and the electric field of the transmitted pulses is measured using electrooptic sampling.
13In this letter terahertz TDS is used to investigate the line-width of the spectral gain as a function of current density. Two terahertz QCLs lasers with different bound-tocontinuum designs are studied. One laser emits at 2.1THz 14 and the other emits at 2.9THz. 15 For both devices, as the current density is increased from threshold, we observe a monotonic decrease of the full width at half maximum (FWHM) of the gain. After the 4 laser reaches maximum power, this gain narrowing increases sharply, until laser action ceases. By calculating the band structure for different bias fields, we show the gain narrowing is a consequence of a misalignment of the upper state of the laser transition with the injector miniband.The 2.1THz (2.9THz) sample has an active region thickness of 14µm (12µm), and a...