We demonstrate a rapid scanning high-resolution THz spectrometer capable of acquiring THz field transients with 1 ns duration without mechanical delay line. The THz spectrometer is based on two 1-GHz Ti:sapphire femtosecond lasers which are linked with a fixed repetition rate difference in order to perform high-speed asynchronous optical sampling. One laser drives a high-efficiency large-area GaAs based THz emitter, the other laser is used for electro-optic detection of the emitted THz-field. At a scan rate of 9 kHz a time resolution of 230 fs is accomplished. High-resolution spectra from 50 GHz up to 3 THz are obtained and water absorption lines with a width of 11 GHz are observed. The use of femtosecond lasers with 1 GHz repetition rate is essential to obtain rapid scanning and high time-resolution at the same time.
©2006 Optical Society of America
The generation and detection of THz radiation with femtosecond lasers is a rapidly evolving field due its relevance for the optical characterization of a wide variety of material systems . Conventional THz time-domain spectroscopy (THz-TDS) systems are based on pulsed THz radiation that is repetitively generated by a modelocked train of femtosecond laser pulses in a photoconductive switch, via optical rectification or difference frequency mixing. A second time-delayed pulse train originating from the same laser is used to detect the THz electric field in amplitude and phase via a photoconductive antenna or the electro-optic effect. To achieve a high frequency resolution on the order of 1 GHz, a mechanical delay line providing 1 ns optical time delay (corresponding to a mechanical movement of 2 } 15 cm) must be used. Since mechanical delay generators are limited in scanning speed, they provide a basic limit for scan rates in THz-TDS and hence limit the signal-to-noise ratio achievable in a given measurement time. Recently, concepts for THz-TDS without mechanical delay generators and potentially higher scanning rates have been demonstrated [2, 3]. They employ two separate ultrafast laser sources that are operated with a small difference frequency Δf R. The separate lasers provide two pulse trains whose time-delay is linearly ramped between zero and f -1 R at a rate given by Δf R. This concept is generally referred to as asynchronous optical sampling (ASOPS) . In related work, two modelocked femtosecond lasers have been employed to eliminate the mechanical delay line from a mid-infrared Fourier-transform spectrometer . The device does not detect THz electric field transients directly but is based on an interferogram between the THz radiation emitted from two GaSe crystals via optical rectification. The nonlinear crystals were driven by separate Kerr-lens modelocked Ti:sapphire femtosecond lasers with repetition rates of 𡉈87 MHz repetition rate and a small relative offset of Δf R = 2 Hz. Interferograms were acquired at a rate of 2 Hz without moving delay scanner as would be required for a conventional FTIR spectrometer or a conventional THz-TDS system. The demonstrated bandwidth from 22.5 THz to 39 THz was only limited by the pulse duration of the femtosecond lasers (20 fs and 12 fs). However, the reproducibility and frequency resolution was limited by slow drifts of the uncontrolled laser repetition rates. Yasui and coworkers demonstrated a THz-TDS system based on two Kerr-lens mode-locked Ti:sapphire lasers with f r=82.6 MHz and a scan rate of Δf R=108 Hz . In their set-up 10 fs and 60 fs pulses were used for generation and detection of THz radiation in photoconductive antennas, respectively. The detected THz spectrum covered the range from 20 GHz to 120 GHz, limited by the jitter of the laser stabilization. A frequency resolution of 82.6 MHz was proposed in view of the laser repetition rate, however, no such spectral line width was observable in the measured THz spectrum. In the lower THz frequency range, the latter work competes with existing all-electronic cw submillimeter techniques which provide high resolution in the MHz range and scanning rates in the range of 10 GHz/s [6, 7]. To fully exploit the advantages of the discussed approaches for THz-TDS in terms of acquisition speed, frequency bandwidth and resolution, it is obvious that higher scan rates and better repetition rate stabilization are required. The field of THz-TDS without mechanical delays and high scan rates has recently been much advanced by high-speed ASOPS systems based on two Kerr-lens mode-locked Ti-sapphire lasers with f R=1 GHz and a scan rate Δf R in the kHz frequency range. Such systems were demonstrated for the detection of electrical transients on integrated coplanar resonators  and all-optical pump-probe spectroscopy . The former system permitted spectroscopy up to 500 GHz , while the latter provided an enhanced bandwidth up to 4 THz due to an improved laser stabilization scheme . Laser repetition rates in the range of 1 GHz are generally favorable for ASOPS in order to achieve a sub-picosecond time-resolution and at the same time a high scan rate in the multi-kHz regime, since they reduce the required optical detection and data acquisition bandwidth F to practically accessible values in the range of 100 MHz.
Here, we present a rapid-scanning high-resolution THz spectromenter based on a dual laser system that comprises two Ti:sapphire femtosecond oscillators with 1 GHz repetition rate and active offset frequency stabilization (Gigajet TWIN and stabilization unit TL-1000, Gigaoptics GmbH, Germany). THz absorption spectra of water vapor at frequencies up to 3 THz are obtained with a dynamic range of 30 dB within a total measurement time of only 250 s.
The two femtosecond Ti:sapphire oscillators with repetition rates f R, 1 and f R, 2 of approximately 1 GHz are pumped by a diode-pumped solid state laser at 532nm wavelength whose 6.5W output power is split into equal portions. The oscillators deliver approximately 500 mW of output power with a pulse duration of 30 fs. The repetition rate difference Δf R= f R, 1 - f R, 2 is fixed using active feedback. The time-delay between the two pulse trains is then τ(t) = t }Δf R/f R,2 modulo f -1 R,2 if laser 2 is used as the pump-laser and t is the real-time. The quality of the feedback electronics determines the accuracy of theτ(t) relationship given above through a jitter of the time base which directly determines the experimental time resolution. Instead of employing two feedback loops to stabilize the lasers to their individual reference synthesizers with an offset of Δf R, we use laser 1 as master-laser and link laser 2 as slave-laser to it at a difference of Δf R=9 kHz. This has the advantage that only the residual errors of one feedback loop enter the jitter of the time-base.
The experimental scheme is sketched in Fig. 1. We measure f R,1 by detecting laser 1 with a fast photodiode (PD1) and upshift the frequency of the electronic signal by 9 kHz using a frequency-shifter. The frequency-shifter consists of a single-sideband generator with a carrier suppression stage that allows a suppression of the initial carrier signal by better than 50 dB. Subsequently, f R,2 is detected with a second photodiode (PD2) and phase-locked to the frequency-shifted repetition rate signal of laser 1. To accomplish this, we use a double-balanced mixer (DBM) as phase-detector and feed its output back to a piezoelectric transducer that supports a cavity mirror in laser 2 via an adjustable loop-amplifier. The jitter of the time-base τ(t) is characterized by detecting a cross-correlation signal between the two lasers using non-collinear sum-frequency generation in a β-barium-borate-crystal. The cross-correlation signal is detected with a 125-MHz bandwidth photoreceiver and recorded using a sampling oscilloscope (Tektronix TDS3032B). To generate a trigger signal for the oscilloscope at Δf R, we use a second DBM with the signals from PD1 and PD2 as inputs. The real-time scale is converted to a time-delay scale by applying a factor Δf R f R,2. Figure 2(a) shows a single scan measurement of the cross-correlation signal and an average over 512 measurements acquired over ≈1 s, limited by the averaging function of the oscilloscope. The single scan trace with a rise time of 95 fs shows the limitation to the time-resolution Δτ given by the 100 MHz bandwidth of the sampling oscilloscope (determined by our specific chosen acquisition settings) according to Δτ = Δf R/f R,2 F, where F is the effective bandwidth of the photodetection and data acquisition electronics. The detailed structure is attributed to the response of the photoreceiver. The averaged cross-correlation signal has a width of 230 fs, reflecting residual jitter of the time-base. Averaging over longer times does not further broaden the signal, thus 230 fs represents the overall time-resolution of our setup. This limit is mostly due to phase-noise intrinsic to the DBMs used for phase-detection and trigger-generation as well as a residual contribution at the carrier frequency at the output of the frequency shifter. We envision that an improvement of the timing stability to the sub-100 fs regime is possible by performing the phase-lock at a higher harmonic of the repetition rate or by using digital phase-detectors.
Laser 2 drives the THz emitter device which is composed of a large-area interdigitated finger structure on a semi-insulating GaAs substrate . Optical excitation is performed under normal incidence with an average power of 400 mW. The interdigitated finger structure has an electrode spacing of 5 μm and is biased with 15 V of DC voltage which results in an emission bandwidth of approximately 2.5 THz at 10 dB below the maximum. The photocurrent through the emitter is 35mA. The advantage of this emitter in comparison to photoconductive antennas with small electrode gap spacing is the possibility to dissipate a greater excitation power . The emitter efficiency is approximately 10-4 corresponding to 40μW of average THz power. The THz pulse is emitted through the GaAs substrate and collected with a 90° off-axis parabolic mirror with a 10cm focal length. It is re-focused with another 10cm focal length off-axis paraboloid for detection. The detection of the THz pulse is based on the electro-optic effect in a (110) ZnTe crystal of 200μm thickness [10, 11]. The probe pulse is focused to the same spot as the THz pulse on the detector crystal by using a small piece of Si substrate as a mirror of a few square millimeters area close to the second off-axis paraboloid. This arrangement does not block or modify most of the THz radiation. The probe laser wavelength can be continuously tuned to provide optimum phase matching between the optical and the THz pulse in the crystal . Experiments are performed at a probe wavelength of 830 nm. The probe beam polarization behind the ZnTe crystal is analyzed with a half-wave plate (λ/2) and a polarizing beam splitter (PBS). Instead of using the common scheme where the difference between perpendicular polarizations is detected, we place a single photoreceiver in one of the beams behind the beam splitter to obtain the electro-optic signal. Compared to the conventional approach, we loose a factor of two in signal amplitude but circumvent bandwidth limitations introduced by available difference amplifiers. The photoreceiver is AC coupled and has a bandwidth of 125 MHz. Its output is directly supplied to a 200 Ms/s 14 Bit A/D converter on a PCI-board which is triggered by the synchronization electronics. The data acquisition board has the capability of acquiring hardware-based averages over 1024 single scan traces. These averaged traces are displayed at a rate of 4 Hz on the computer. An arbitrary number of additional software based averages can be computed. The spatial overlap of THz- and probe-pulse, the optimum angle of laser polarization and the ZnTe crystal orientation for THz detection  can be optimzed ’online’ by observing the electro-optic THz signal transient which is displayed almost at a video rate on our data acquisition computer. In comparison to conventional THz-TDS systems with mechanical delay lines no temporal overlap needs to be adjusted or tended during optimization. The bandwidth of the entire system is currently limited by the phasematching bandwidth of the ZnTe crystal at our detection wavelength of 830 nm.
3. Results and discussion
We have acquired THz transients with different numbers of software averages N such that the total number of averaged single scan traces is N × 1024. The acquisition time for each data set amounts to N × 0.25 s. A measurement with N=10000, acquired under purging of the setup with nitrogen, is displayed in Fig. 2(b). A weak signal background, acquired with unbiased THz emitter, has been subtracted from all data. The origin of the signal background is scattered light reaching the photoreceiver from laser 2 which has a slight power modulation at Δf R due to imperfections of the frequency shifter. The time-domain signal shows a strong THz pulse with weaker pre- and postpulses that are due to multiple reflections of the optical beams off uncoated glass substrates that are used as beamsplitters in the setup as well as a multiple reflection of the THz pulse off the emitter substrate. These pre- and post-pulses cause the modulations of the Fourier-transform spectrum shown in Fig. 2(c). A series of measurements with water vapor present in the setup at different values of N is displayed in Fig. 3, where the time window has been limited to 100 ps for better visibility. Fourier-transform spectra have been computed from the full data sets (covering 1 ns) and are displayed with the THz transients. The bandwidth of the spectra above the noise level amounts to 3 THz at N ≥1000. The signal-to-noise ratio obtained for the Fourier-transform spectra increases linearly with total acquisition time and amounts to ≈50 dB at N=10000. From a more detailed analysis we conclude that signals are at the detection shot-noise limit.
From the datasets with and without water vapor present in the setup, we have computed water absorption spectra as shown in Fig. 4. Lines at frequencies up to 3 THz are clearly identified at N=100 (i.e. only 25 s of measurement time per data set) and are readily observed with a dynamic range of 30 dB with N=1000. All lines can be attributed to previously reported water resonances in the observed frequency range [14, 15, 16]. The full width at half maximum of the absorption resonances is approximately 11 GHz, a detailed view of the line at 558 GHz at N=10000 is shown in Fig. 5. It has been shown earlier in all-optical pump-probe experiments that the resolution limit of our high-speed ASOPS approach is 1 GHz . Thus we conclude that the observed spectral lineshape is likely limited by saturation and collision broadening.
In conclusion, we have constructed a high-resolution THz spectrometer without mechanical delay line. An unprecedented scan rate of 9 kHz is accomplished, the experimental resolution limit amounts to 1 GHz. Employing a high-power large-area THz emitter, we have observed THz transients of 1 ns duration with a time resolution of 230 fs. We have demonstrated the acquisition of THz water absorption spectra at frequencies up to 3 THz that are acquired with a dynamic range of 30 dB within only 250 s of acquisition time per signal and reference data set. The observed width of the absorption lines is 11 GHz, likely limited by saturation and collision broadening effects. The spectrometer is based on high-speed asynchronous optical sampling employing a dual modelocked laser system with femtosecond oscillators that have approximately 1 GHz repetition rate. The high laser repetition rates are essential in order to achieve a sub-picosecond time resolution and at the same time a high scanning rate in the multi-kHz regime. Our high-resolution THz spectrometer has great potential to advance the field of THz-TDS in general. It allows to significantly reduce data acquisition times for a wide variety of spectroscopic applications and thus opens the way e.g. for high-throughput monitoring of material properties and could lead to much accelerated frame acquisition in THz imaging applications. The presented system has potential for further improvements which are explored in current experiments: The time-resolution can be improved by stabilizing the repetition rates at higher harmonics. The signal-to-noise ratio can be further increased, leading to even shorter data acquisition times, by tighter focusing of the THz radiation and by using high-bandwidth difference amplifiers and employing conventional electro-optic detection.
We thank A. Leitenstorfer for stimulating discussions and acknowledge contributions of S.A. Diddams, S. Eggert, and E.N. Ivanov to the frequency shifter. This work has partially been supported by the Ministry of Science, Research and the Arts of Baden-Württemberg.
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