Harris W F
Optometric Science Research Group, Department of Optometry, Rand Afrikaans University, Johannesburg.
Optom Vis Sci. 2002 Aug;79(8):512-5. doi: 10.1097/00006324-200208000-00014.
Tilting changes the effective power of a thin lens. Blendowske has recently provided an elegant matrix expression for the tilted power in the case of tilt about a vertical axis (faceform tilt). He makes use of what can be called a tilt matrix. He shows that the same expression holds in the case of tilt about a horizontal axis (pantoscopic tilt) if one makes use of a different tilt matrix. The purpose of this note is to derive a general tilt matrix that makes Blendowske's equation valid for tilt about any axis. The general tilt matrix reduces to the particular tilt matrices in the case of rotation about the horizontal and vertical axes. The lens may be stigmatic or astigmatic and may be in air or in some other medium.
倾斜会改变薄透镜的有效屈光力。Blendowske最近给出了关于绕垂直轴倾斜（面形倾斜）情况下倾斜屈光力的一个简洁的矩阵表达式。他使用了一种可称为倾斜矩阵的东西。他表明，如果使用不同的倾斜矩阵，在绕水平轴倾斜（前倾角倾斜）的情况下同样的表达式也成立。本笔记的目的是推导一个通用的倾斜矩阵，使Blendowske方程对于绕任何轴的倾斜都有效。在绕水平轴和垂直轴旋转的情况下，通用倾斜矩阵可简化为特定的倾斜矩阵。透镜可以是无像散的或有像散的，并且可以处于空气中或其他某种介质中。
