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تسجيل مستخدم جديدGroup delay in THz spectroscopy with ultra-wideband log-spiral antennae
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We report on the group delay observed in continuous-wave terahertz spectroscopy based on photomixing with phase-sensitive homodyne detection. We discuss the different contributions of the experimental setup to the phase difference Deltaphi( u) between transmitter arm and receiver arm. A simple model based on three contributions yields a quantitative description of the overall behavior of Deltaphi( u). Firstly, the optical path-length difference gives rise to a term linear in frequency. Secondly, the ultra-wideband log-spiral antennae effectively radiate and receive in a frequency-dependent active region, which in the most simple model is an annular area with a circumference equal to the wavelength. The corresponding term changes by roughly 6 pi between 100 GHz and 1 THz. The third contribution stems from the photomixer impedance. In contrast, the derivative (dDeltaphi / d u) is dominated by the contribution of periodic modulations of Deltaphi( u) caused by standing waves, e.g., in the photomixers Si lenses. Furthermore, we discuss the Fourier-transformed spectra, which are equivalent to the waveform in a time-domain experiment. In the time domain, the group delay introduced by the log-spiral antennae gives rise to strongly chirped signals, in which low frequencies are delayed. Correcting for the contributions of antennae and photomixers yields sharp peaks or pulses and thus facilitates a time-domain-like analysis of our continuous-wave data.
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