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In this work, the Lifshits-Dyakonov theory for THz response of gated two-dimensional electron gas in magnetic field are analyzed and improved. Instead an approximate processing method for the response in original theory to the second order solution, the second order equations are strictly solved. The numerical results show that both first and second order solutions are damped oscillating functions of coordinate, but all amplitudes would decrease as magnetic field  B  increasing except for the first order solution of voltage. The variation of second order response as a function of  B  also shows damped oscillating variations, the agreement with experimental curves is reasonable.

Second Order Solutions of THz Response of Gated Two-Dimensional Electron Gas in Magnetic Field