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A new evaluation method for the detecting ability of a telescope

The Modulation Transfer Function (MTF) is an analysis method of a telescope in the frequency regime, which can estimate the telescope imaging effect through spatial resolution power. Traditional detecting ability studies on a telescope is based on the signal-to-noise ratio (SNR). This cannot analyze the factors affecting detection ability and spatial resolution simultaneously, such as the atmospheric coherence length, the image motion and the aberrations. A new method on the detecting ability evaluation of a telescope is presented in this article, which is based on SNR and MTF. It can compensate for the deficiency of the traditional evaluation method, and can analyze the effective of image motion, aberrations and atmospheric coherence length. It can also be used to analyze a telescope with an adaptive optics system. The simulation results indicate that the detecting ability of a telescope is influenced serious by an image motion, some aberrations or the atmospheric coherence length. The detecting ability reduces about 0.5 magnitudes by image motion, which can improve 1 magnitude through an adaptive optics technology.