A ray of light in air enters a 1.00 - cm thick pane of glass at a 50◦ angle to the surface normal. The sides of the glass are parallel to each other. The light emerges from the other side displaced 0.615 cm from the place it would have emerged if it did not refract. What is the index of refraction of the glass? 1.28 1.46 1.72 1.59 1.35 1.94 1.65 1.14 1.41 1.53
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A ray of light in air enters a 1.00 - cm thick pane of glass at a 50◦ angle to the surface normal. The sides of the glass are parallel to each other. The light emerges from the other side displaced 0.615 cm from the place it would have emerged if it did not refract. What is the index of refraction of the glass? 1.28 1.46 1.72 1.59 1.35 1.94 1.65 1.14 1.41 1.53
![Imaging with a Thick Lens. Consider a glass lens of refractive index n , the z axis and thickness d , and two spherical surfaces of equal radii R as shown in Figure 3.1. Determine the ray-transfer matrix of the system between the two planes at distances d 1 and d 2 from the vertices of the lens. The lens is placed in air ( n = 1 ) . Show that the system is an imaging system (i.e., the input and output planes are conjugate) if 1 z 1 + 1 z 2 = 1 f or s 1 s 2 = f 2 , where z 1 = d 1 + h s 1 = z 1 − f z 2 = d 2 + h s 2 = z 2 − f and h = ( n − 1 ) f d n R 1 f = n − 1 R [ 2 − n − 1 n d R ] The points F 1 and F 2 are known as the front and back focal points, respectively. The points P 1 and P 2 are known as the first and second principal points, respectively. Show the importance of these points by tracing the trajectories of rays that are incident parallel to the optical axis. Figure 3.1: Imaging with a thick lens. P 1 and P 2 are the principal points and F 1 and F 2 are the focal points. Imaging with a Thick Lens. Consider a glass lens of refractive index n , the z axis and thickness d , and two spherical surfaces of equal radii R as shown in Figure 3.1. Determine the ray-transfer matrix of the system between the two planes at distances d 1 and d 2 from the vertices of the lens. The lens is placed in air ( n = 1 ) . Show that the system is an imaging system (i.e., the input and output planes are conjugate) if 1 z 1 + 1 z 2 = 1 f or s 1 s 2 = f 2 , where z 1 = d 1 + h s 1 = z 1 − f z 2 = d 2 + h s 2 = z 2 − f and h = ( n − 1 ) f d n R 1 f = n − 1 R [ 2 − n − 1 n d R ] The points F 1 and F 2 are known as the front and back focal points, respectively. The points P 1 and P 2 are known as the first and second principal points, respectively. Show the importance of these points by tracing the trajectories of rays that are incident parallel to the optical axis. Figure 3.1: Imaging with a thick lens. P 1 and P 2 are the principal points and F 1 and F 2 are the focal points.](https://www.doubtrix.com/uploads/editor/9885508202VQeDlDyKSs.png)