Terahertz (THz) wave (frequency range: 0.1-10 THz; 1 THz=1012 Hz) is in the electromagnetic spectrum region between microwave and infrared light, and has important application prospects in the fields of spectral detection, medical imaging, space communication, etc. It has become a hot spot of theoretical and experimental study. When driven by periodic periodic electric fields, electrons in semiconductor superlattices and multiple quantum well structures will exhibit different behaviors, which in turn affect their physical properties such as output current and power. We theoretically studied the transient output power of the optical-injected THz quantum cascade laser (QCL) driven by a time periodic current. It is found that the system displays transient instability. It is found that the transient output power of the QCL exhibits periodic, quasi-periodic, and chaotic oscillation states under the control of external field. The transient dynamic properties of THz QCLs under control of external field open a new way for designing novel THz imaging modality.
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