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From classical charge transport equations and dipole radiation equations, we derive a simple analytical model for the signal detected in terahertz time-domain spectroscopy using photoconducting antennas. The validity of our model is checked by comparison to published calculated results and to experimental data we have measured. This expression depends mostly on the carrier lifetime in the antennas' semiconductor material and on the laser pulse duration. The analytical form of the detecteddoi:10.1109/2944.974233 fatcat:byw7lsgafzccnhp4d2bbmdf7jy