GEOMETRICAL OPTICS

所在平台: Udemy

课程主页: https://www.udemy.com/course/geometrical-optics/

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课程简介

这门“几何光学”课程深入探讨了光线的传播方式,以及它们如何在不同介质的界面处发生反射和折射。课程重点讲解了如何利用镜子、透镜和棱镜等光学器件形成图像。 **核心概念:** * **光线:** 光以直线传播的路径,遵循反射定律(入射角等于反射角)和折射定律(光线在界面处改变方向)。 * **图像形成:** 我们感知到的物体实际上是我们眼睛接收到的光线汇聚形成的“图像”。 * **视线:** 我们感知光线时,会认为它们是直线进入眼睛的,这些假想的光线路径称为视线。 * **实像与虚像:** * **实像**是由实际光线汇聚形成的,可以投射到屏幕上。 * **虚像**是由视线(光线的反向延长线)形成的,无法投射到屏幕上。 **主要光学器件:** * **平面镜:** 形成与物体大小相等、左右相反的虚像。 * **球面镜(凹面镜和凸面镜):** * **曲率中心 (C):** 球面镜所属球体的中心。 * **半径 (r):** 球面镜所属球体的半径,即曲率半径。 * **焦点 (F):** 平行于主轴的光线经反射后汇聚(凹面镜)或看起来发散(凸面镜)的点。 * **焦距 (f):** 焦点到镜面顶点的距离,等于半径的一半 (f = r/2)。 * **凹面镜:** 光线从内表面反射,可以汇聚光线,形成实像或虚像。 * **凸面镜:** 光线从外表面反射,总是发散光线,形成缩小的虚像。 * **透镜(凹透镜和凸透镜):** * 由玻璃或塑料等透明材料制成,具有比空气更大的折射率。 * 每个透镜的表面可以是球面的一部分或柱面,可以是凸面或凹面,也可能有一个平面。 * **凹透镜:** 具有凹面(内表面)的透镜,会发散平行光线。 * **凸透镜:** 具有凸面(外表面)的透镜,会汇聚平行光线,形成实像或虚像。 课程通过这些基本原理和器件,解释了我们如何看到物体以及光学设备如何工作。

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课程详情

Geometrical optics, or ray optics, describes the propagation of light in terms of "rays" which travel in straight lines, and whose paths are governed by the laws of reflection and refraction at interfaces between different media. These laws can be summarized as follows: when a ray of light hits the boundary between two transparent materials, it is divided into a reflected and a refracted ray. It deals with the formation of images by using optical devices such as mirrors, lenses and prisms.* A ray of light is an extremely narrow beam of light.* All visible objects emit or reflect light rays in all directions.* Our eyes detect light rays.* We think we see objects. We really see images.* When light rays go straight into our eyes, we see an image in the same spot as the object. object & imageHow do we see images in mirrors?object image Light from the object reflects off the mirror and converges to form an image.SIGHT LINES object image We perceive all light rays as if they come straight from an object. The imaginary light rays that we think we see are called sight lines.IMAGE TYPES object image Real images are formed by light rays. Virtual images are formed by sight lines. mirror object & image window/SPHERICAL SURFACES (CONCAVE & CONVEX)CONCAVE & CONVEX (JUST A PART OF A SPHERE) C: the center point of the sphere r: radius of curvature (just the radius of the sphere) F: the focal point of the mirror or lens (halfway between C and the sphere) f: the focal distance, f = r/2 r f • C • F TERMINOLOGIES The Center Of Curvature, C, is the center of the sphere, of which the mirror is a section. The Principal Axis is the line that passes through the center of curvature and the center of the mirror. The principal axis is perpendicular to the surface of the mirror at A. CA is the Radius Of The Sphere, or the radius of curvature of the mirror, R. The point at which the rays converge is called the focal point. Halfway between C and A is the Focal Point of the mirror, F. This is the point where rays parallel to the principal axis will converge when reflected off the mirror. The length of FA is the Focal Length, f. The focal length is half of the radius of the sphereREAL VS. VIRTUAL IMAGES Real images • When light rays actually converge and pass through the mirror. • Located in front of the mirror forming them. • Can be projected onto a piece of paper or a screen. Virtual images • Occur where light rays only appear to have originated. • Rays appear to be coming from a point behind the mirror. • Can't be projected on paper, screens, or film since the light rays do not really converge there.MIRRORS A smooth and well polished srfacethat reflect regularly most of light falling on it. Types: 1. Plane Mirror: • Plane sheet of glass • one surface is silvered other surface is polished. 2. Spherical Mirror: • Part of a hollow sphere • one surface is silvered other surface is polished.CONCAVE AND CONVEX MIRRORS light rays light rays Concave mirrors reflect light from their inner surface Convex mirrors reflect light from their outer surface LENSES Lenses are made of transparent materials, like glass or plastic  Refract the incident light  Have an index of refraction greater than that of air.  Each of a lens has two faces either part of a sphere or cylinder and can be convex or concave (or one face may be flat).CONCAVE AND CONVEX LENSES light rays light rays Concave Lenses refract light from their inner surface Convex Lenses refract light from their outer surface

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