用矩阵方法设计变焦镜头

Design of a zoom lens system with matrix method

传统上,在设计变焦距镜头时都要利用高斯光学求解变焦距的各组元焦距、组间隔。与传统方法不同的是,该文利用矩阵光学理论,建立变焦距镜头的光线传输矩阵,并以此矩阵建立非线性方程组,然后用数学软件对其求解,得到各组元的焦距、组间隔等参数。最后以设计一个普通的摄像物镜为例,演示了矩阵光学在设计变焦距镜头中的应用。

The Gaussian optics is traditionally used to calculate the focus of every element and the distances between them in a zoom system. This design method is different from the traditional one. All the parameters of the zoom system are achieved with mathematic software, which solves a nonlinear equation group set up with a ray-transmission matrix of the zoom lens, based on the theory of the matrix optics. At last, the application of matrix optics is demonstrated in designing a zoom system of a general camera lens.