摘要
在设计自由曲面光学元件零补偿检测的计算全息图(CGH)时,利用光线追迹可得到散乱分布的离散相位点,需通过插值得到连续的相位分布函数,以计算CGH刻线位置。采用双三次B样条插值法,对散乱分布的离散相位点进行拟合并用较少的采样点满足精度要求。利用双三次B样条的矩阵表达式及CGH加工相位函数在所加载频方向单调递增的性质,简化了求解插值曲面与x-y平行平面精确交线的方法,高精度地求取了相位型CGH的上下沿刻线位置。最后给出了一例用于自由曲面干涉零补偿检测的CGH图样。
Designing methods of null test computer generated hologram（CGH）for freeform surface optical element are researched.Bicubic non-uniform B-spline interpolation is used to fit a continuous phase function from scattered phase compensation data,which is calculated by universal ray tracing numerical method.Matrix representation of bicubic B-spline and monotonicity of CGH phase function are used to calculate the precise intersection lines of planes paralleling to x-y plane and the interpolated B-spline surface,and the positions of fringes of a phase-only CGH are solved with high accuracy.Finally a design example of null test CGH for freeform surface optical element is presented.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2010年第6期1767-1771,共5页
Acta Optica Sinica
关键词
光学设计
计算全息
双三次B样条插值
零补偿检测
自由曲面
optical design
computer generated hologram（CGH）
bicubic B-spline interpolation
null test
freeform surface
