HongKongPolytechnicUniversityThick LensRay Tracing:Each rayis traced independently,using only the laws of reflectionand refractiontogetherwith geometry,to determinethe image forming quality of an optical system.Ray tracing procedures are often limited to meridional rays, that is, rays that passthroughtheopticalaxisofthesystem.6VCOptics1----byDr.H.Huang,DepartmentofAppliedPhysics
Hong Kong Polytechnic University Thick Lens Ray Tracing: Each ray is traced independently, using only the laws of reflection and refraction together with geometry, to determine the image forming quality of an optical system. Ray tracing procedures are often limited to meridional rays, that is, rays that pass through the optical axis of the system. Optics 1-by Dr.H.Huang, Department of Applied Physics
Hong KongPolytechnicUniversityThickLensHomework:1.Abiconvexlensof5cmthicknessandindex1.60hassurfacesofradius40cm.Ifthislensisusedforobjectsinwater,withaironitsoppositeside,determineitseffectivefocallengthand sketchitsfocal andprincipalpoints.2.Abiconcavelens has radii of curvature of 20 cmand 10 cm.Its refractive index is1.50and its central thickness is 5cm.Describetheimage of a1-in.tall object, situated 8 cmfrom the first vertex.3. An equiconvex lens having spherical surfaces of radius 10 cm, a central thickness of2 cm,and a refractive index of 1.61 is situated between air and water (n=1.33). An object5 cmhigh is placed 60 cm in front of the lens surface. Find the cardinal points for the lens andthe position and size of the image formed.4. A hollow, glass sphere of radius 10 cm is filled with water. Refraction due to the thinglass walls is negligible for paraxial rays. (a) Determine its cardinal points and make asketch to scale. (b) Calculate the position and magnification of a small object 20 cm fromthe sphere.Optics1----byDr.H.Huang,DepartmentofAppliedPhysics
Hong Kong Polytechnic University Thick Lens Homework: 1. A biconvex lens of 5 cm thickness and index 1.60 has surfaces of radius 40 cm. If this lens is used for objects in water, with air on its opposite side, determine its effective focal length and sketch its focal and principal points. 2. A biconcave lens has radii of curvature of 20 cm and 10 cm. Its refractive index is 1.50 and its central thickness is 5 cm. Describe the image of a 1-in. tall object, situated 8 cm from the first vertex. 3. An equiconvex lens having spherical surfaces of radius 10 cm, a central thickness of 2 cm, and a refractive index of 1.61 is situated between air and water (n=1.33). An object 5 cm high is placed 60 cm in front of the lens surface. Find the cardinal points for the lens and the position and size of the image formed. 4. A hollow, glass sphere of radius 10 cm is filled with water. Refraction due to the thin glass walls is negligible for paraxial rays. (a) Determine its cardinal points and make a sketch to scale. (b) Calculate the position and magnification of a small object 20 cm from the sphere. Optics 1-by Dr.H.Huang, Department of Applied Physics