Abstract

This work is a theoretical and experimental study of the time-resolved microwave spectroscopy, close to the limit ΔωΔτ∼1, especially applied for the case of cyclotron resonance. A dynamic perturbation theory of a resonator is presented. While the amplitude of a transmitted signal in a standard measuring setup can be determined quickly and accurately, the phase relation requires much longer time for the same accuracy. The use of a resonant system enhances the sensitivity for determination of amplitude and phase, but reduces the time resolution, both by a factor Q. The nonlinear regime for conductivity in cyclotron resonance conditions is compensated by the use of constant energy density in the resonator, independent of frequency. Examples for classical semiconductors are presented. Compared with terahertz time-resolved spectroscopy, this method offers precise information in a different time scale and essentially in a different experimental regime of conductivity: pulsed, E∼1kV∕cm in the first case; cw, E∼1V∕cm in ours.

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