V2EX ray transfer matrix

Ray Transfer Matrix

Definition / 释义

ray transfer matrix(光线传递矩阵):几何光学与光学系统分析中用来描述光线在光学元件(如自由空间、薄透镜、曲面镜、介质界面等)中传播与变换的2×2 矩阵,常写作 ABCD 矩阵。它把入射光线的状态(常用“高度 y 与倾角 θ”或“高度 y 与光线斜率 y′”表示)线性映射到出射状态。
(在某些语境下也可泛指更一般的传递矩阵方法,但最常见指上述 ABCD 光线矩阵。)

Pronunciation / 发音

/re trnzfr metrks/

Examples / 例句

The ray transfer matrix of a thin lens is easy to write down.
薄透镜的光线传递矩阵很容易写出来。

By multiplying the ray transfer matrices of each element, we can predict the beam’s height and angle at the output plane of the optical system.
通过将每个元件的光线传递矩阵相乘,我们可以预测光束在该光学系统输出平面处的高度与倾角。

Etymology / 词源

ray 源自古法语 rai(“光线、射线”);transfer 来自拉丁语 transferre(“搬运、移交、传递);matrix 来自拉丁语 matrix(“母体、孕育之物”),在数学中引申为“矩阵”。该术语的整体含义直观地表达了:用“矩阵”来表示“光线状态在系统中的传递与变换”。

Related Words / 相关词

Literary Works / 文学与著作示例

  • Eugene Hecht, Optics(常用 ABCD/光线传递矩阵讲解近轴光学系统)
  • A. E. Siegman, Lasers(用 ABCD 矩阵分析谐振腔与高斯光束)
  • A. Yariv & P. Yeh, Photonics: Optical Electronics in Modern Communications(传递矩阵/ABCD 方法在光学传播与器件分析中出现)
  • Bahaa E. A. Saleh & Malvin C. Teich, Fundamentals of Photonics(近轴光学与矩阵方法的经典教材表述)
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