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OPTPS is capable of measuring the full frequency dependent photo-conductivity (ω,t) of a material. In this work we assume that the conductivity is frequency independent (w,t) = (t), over the range of frequencies that we would like to detect with our PCD (≈0.1-3 THz). Since this frequency range is well bellow the plasma frequency of the photoexcited PCS, the assumption is justified.
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It should be noted that to obtain the true form of the free space electric field of the terahertz transient Ẽ THz (t), the dielectric properties of the antenna and photo-excited substrate would need to be considered as they are spectrally dependent. That is Ẽ THz (ω) =γ (ω) ETHz (ω), where γ (ω) is a response function at terahertz frequencies ω. γ (ω) is dependent on the PCD antenna geometry and the dielectric properties of the device.
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It should be noted that to obtain the true form of the free space electric field of the terahertz transient Ẽ THz (t), the dielectric properties of the antenna and photo-excited substrate would need to be considered as they are spectrally dependent. That is Ẽ THz (ω) =γ (ω) ETHz (ω), where γ (ω) is a response function at terahertz frequencies ω. γ (ω) is dependent on the PCD antenna geometry and the dielectric properties of the device.
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