湍流大气中哈特曼传感器的模式波前复原误差

 分别采用Zernike和Karhunen-loeve两种模式波前复原法，分析了子孔径斜率测量不受噪声影响的理想情况下，哈特曼传感器对大气湍流畸变波前的模式复原误差与大气湍流相干长度、传感器的结构尺寸、模式复原阶数等的关系。结果表明Karhunen-loeve模式法比Zernike模式法的波前复原误差更小些。

MODAL RECONSTRUCTION ERROR OF THE HARTMANN SENSOR ON MEASURING THE ATMOSPHERE DISTURBED WAVEFRONT I

By using the Zernike and the Karhunen-Loeve wavefront reconstruction algorithm, the wavefront reconstruction error of a Hartmann sensor on measuring the atmosphere disturbed wavefront was analyzed in this paper. In the condition of without measurement noise, there are two kinds of wavefront reconstruction errors: the mode coupling error causing by finite spatial frequency of sub-apertures and the mode cutting error by using finite mode numbers. It is showed that the wavefront reconstruction error will be minimum while optimal mode numbers were using, and the Karhunen-Loeve algorithm is somewhat better than the Zernike algorithm.