Eguchi R G, Carlson F P
Appl Opt. 1970 Mar 1;9(3):687-94. doi: 10.1364/AO.9.000687.
The generation of a two-dimensional linear vector space in a coherent optical data processing system and its specific application to the gradient operator is discussed using theoretical and experimental results. The vector space is created by superposing the outputs of two Fourier optical systems having light of mutually orthogonal polarizations. As a result, the total amplitude of the signal in the output plane is a vector sum of the signals from the systems. If each one of the systems performs one of the partial derivative operations of the transverse gradient, and if the inputs to both systems are identical, then the output is the vector sum of the partial derivatives or the transverse gradient operation. The experimental program is heavily oriented toward the realization of the optimum approximation to the jomega(x)î and jomega(y)j; filters, rather than using various binary-type filters. Problems with film and lens noise are also discussed.
利用理论和实验结果，讨论了在相干光学数据处理系统中二维线性向量空间的生成及其在梯度算子中的具体应用。该向量空间是通过叠加两个具有相互正交偏振光的傅里叶光学系统的输出而创建的。结果，输出平面中信号的总幅度是来自各系统信号的向量和。如果每个系统执行横向梯度的一个偏导数运算，并且两个系统的输入相同，那么输出就是偏导数的向量和或横向梯度运算。实验方案主要致力于实现对(j\omega(x)\hat{i})和(j\omega(y)\hat{j})滤波器的最佳近似，而不是使用各种二进制类型的滤波器。还讨论了胶片和透镜噪声问题。
