广义自傅里叶变换函数

Generalized self-Fourier function

基于Caola的数字模型,扩展了自傅里叶变换函数的概念,获得了广义自傅里叶变换函数的数学表达形式,分析了该函数具有的包容性、周期性等特征,解释了其光学实现的物理意义。计算机模拟实验证明了结论的可靠、可行。对光信息处理、成像光学等具有实用价值。

By generalizing the concept of self- Fourier functions proposed by Caola, a mathematic expression for general self- Fourier functions is deduced, then analyzed the characters, such as comprehension, periodicity, explained its physical meaning of optical implement. The computer simulation proved the result is reliable and feasible. The result has the practical value in processing optical information, imaging optics etc.