基于本征正交分解函数的波前动态高分辨率重构
Dynamic high-resolution wavefront construction approach based on proper orthogonal decomposition
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摘要: 应用Hartmann波前传感器测量了准直平行光通过低速热射流后的畸变波前时间序列,对该时间序列进行本征正交分解得到系列本征函数和时间系数,对本征函数进行双线性插值处理得到未布置探测器处的本征函数值,新本征函数与时间系数相乘从而获得未布置探测器处的波前数据。在时域和频域比较了波前预测值与实际值,结果表明了该插值方法的有效性,从而实现对波前的高时间、高空间分辨率测量。Abstract: A Hartmann wavefront sensor is applied to measuring the aero-optical aberrated wavefronts when the collimated light beam passes through a low speed heated turbulent jet. Proper orthogonal decomposition(POD) technique is applied to the aberraed wavefront time series then the eigenfunctions and the time coefficients are obtained. Interpolations of the eigenfunctions are made on those positions where no detectors are set. The predicted wavefronts can be represented as a product of the interpolated eigenfunction and a time coefficient. Comparisons are made in time domain and frequency domain between the predicted wavefronts and the measured wavefronts, which indicate using the interpolation method to predict the wavefront is effective. It is proved that this method has less amount of computat
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Key words:
- aero-optics /
- wavefront reconstruction /
- proper orthogonal decomposition /
- interpolation /
- high resolution /
- precision
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