为了提高单臂压缩感知鬼成像的成像质量, 减少成像系统本身和外部环境的干扰, 提出了一种光强扩散函数分析方法.在单臂压缩感知鬼成像原理的基础上分析了成像过程, 指出降低成像质量的主要因素是菲涅尔衍射和大气湍流.针对这两个因素, 推导并分析了光强度扩散函数的公式, 研究透镜的焦距与口径之比和照明光源的波长对鬼成像的影响.仿真结果表明：在单臂压缩感知鬼成像中, 使用焦距与尺寸半径之比在2~5范围内的成像投影透镜可以消除衍射效应的影响; 短波长光源适用于大气湍流较弱时的成像, 长波长光源在大气湍流较强时对干扰有更好的耐受能力.该方法可以有效地提高成像质量并优化成像系统.

In order to improve imaging quality of the single compressive sensing ghost imaging and reduce the internal and external interference, the intensity spread function analysis of single compressive sensing ghost imaging was proposed. The imaging process was analyzed based on the principle of single compressive sensing ghost imaging. It is found that Fresnel diffraction and atmospheric turbulence are main causes which result in poor imaging quality. Aiming at these two factors, the formulas of intensity spread function were derived, and the influence of focal length to aperture lens ratio and source wavelength on ghost imaging were studied. Simulation results of single compressive sensing ghost imaging indicate that the effects of diffraction can be restrained by using the projection lens with the ratio of focal length and aperture in the range of 2~5. Besides, the short wavelength is suitable for imaging under the weak atmospheric turbulence. By contrast, the long wavelength is a better choice for imaging under strong atmospheric turbulence. The experiment verifies the conclusions of simulation. Therefore, the proposed method is effective to improve imaging quality and optimize the imaging system.