1. Transverse tangential coma (TTC), described for marginal, meridional rays and paraboloid mirrors by TTC y =− 3 2 κθ2, (8.17) is a blurring aberration, as is spherical aberration, because the dependence upon y brings rays incident at =
Paraboloid - Wikipedia
Any paraboloid (elliptic or hyperbolic) is a translation surface, as it can be generated by a moving parabola directed by a second parabola. Properties and applications. Elliptic paraboloid. Polygon mesh of a circular paraboloid. Circular paraboloid. In a suitable Cartesian coordinate system, an elliptic paraboloid has the equation.
抛物面 - 维基百科，自由的百科全书
旋转抛物面. 抛物面 (英文：Paraboloid)是 二次曲面 的一种。 抛物面有两种： 椭圆抛物面 和 双曲抛物面。 椭圆抛物面在 笛卡儿坐标系 中的方程为： 双曲抛物面在笛卡儿坐标系中的方程为： 性质. 当 a = b 时，曲面称为 旋转抛物面，它可以由 抛物线 绕着它的轴旋转而成。 它是 抛物面反射器 的形状，把光源放在焦点上，经镜面反射后，会形成一束平行的光线。 反过来也成立，一束平行的光线照向镜面后，会聚集在焦点上。 曲率. 椭圆抛物面的 参数方程 为： 高斯曲率 为： 平均 …
Index: Quadratic Surfaces (1-14) - The Department of Mathematics
The surface of revolution obtained from an ellipse is called an ellipsoid, and that obtained from a parabola is called a paraboloid. A hyperbola gives rise to different surfaces of revolution, depending on whether it is revolved about the conjugate axis (which passes between the two branches of the hyperbola) or the transverse axis (which ...
how to trace their standard forms. We shall trace an elliptic paraboloid hc I(. .iilcl leave the tracing of a hyperbolic paraboloid as an exercise for you. So, let us consider (S), the standard equation of an elliptic paraboloid. We can observe some geometrical properties, similar to the properties you have seen in Unit 8
Transverse ray aberration (TRA) expansions are expressed as functions of entrance aperture coordinates (h, β) shown in Figure 2. The expansions presented here are based on the format introduced by Cox16. The derivation is simple but rather lengthy. In the derivation an off-axis ray making an angle δ is mathematically traced from the primary
Spherical Aberration - Bedford Astronomy Club
2023年9月1日 · We define the transverse spherical aberration (TSA), as the intersection of a ray from height r on the mirror with the paraxial focal plane, as shown in Fig. 4.2. It is conventional to define the longitudinal spherical aberration (LSA), as the distance from the paraxial focal plane to the point where a ray from height r crosses the z-axis.
Transverse ray aberrations for paraboloid–hyperboloid telescopes
Transverse ray aberration expansions are derived for a paraboloid–hyperboloid telescope. The expansions are valid for glancing incidence Wolter type II and normal incidence Cassegrain telescopes. The analysis gives all third-order aberration terms except distortion and four fifth-order aberration terms as a function of the system parameters ...
The elliptical paraboloid described by equation 4.1.6 is easy to visualize. Slightly less easy (but by no means unreasonably difficult) to visualize is a hyperbolic paraboloid ,
Transverse ray aberrations for paraboloid-hyperboloid telescopes
1985年6月15日 · Transverse ray aberrations for paraboloid-hyperboloid telescopes Appl Opt. 1985 Jun 15;24(12):1856. doi: 10.1364/ao.24.001856.