摘要
可控放大率物光场重建算法可以有效利用数字全息图的空间带宽积,但同时会引入相位畸变。通过研究现有各种可控放大率物光场重建算法,导出了畸变相位的数学表达式。结果表明:无论对菲涅耳全息还是无透镜傅里叶变换全息,如果将"+1"级或"-1"级物光场放大,则重建物光场上都会叠加有一个由球面波产生的二次相位畸变,且"+1"级与"-1"级物光场所叠加的球面波相为共轭复数。如果将该球面波波长折算为记录全息图时的光波长,则球面光波半径相同,完全取决于放大率和物距,与算法无关。
The adjustable magnification object wavefront reconstruction algorithm effectively uses the space bandwidth product of digital holograms, but also introduces phase distortion. Mathematical expressions of the distortion phase correspond to each adjustable magnification algorithm are derived from present studies. The results indicate that a quadratic phase distortion superimpose on the magnified object wavefront, no matter the wavefront is reconstructed from Fresnel or lensless Fourier transform digital holograms. The phase distortions of + 1 and- 1 orders constructed wavefronts are conjugate complexes to each other. The phase distortions is generated by a spherical wave, and the radius of the wave is irrelevant to algorithm selection, but mainly determined by magnification and the object distance.
出处
《激光与光电子学进展》
CSCD
北大核心
2015年第5期48-57,共10页
Laser & Optoelectronics Progress
基金
国家自然科学基金(61067004)
关键词
全息
物光场重建
可控放大率
相位畸变
holography
wavefront reconstruction
adjustable magnification
phase distortion