A simple camera system with an f/10 thin lens is shown below. D ni= 1.0000 (stop) 20 mm surface 1 1280 × 1024 y n2 = 1.516824 (BK7 glass) u V Problem With the information provided find: (a) the diameter D of the aperture stop, (b) the effective focal length,f (c) the lens power, (d) and the diameter of the Airy disk at the design wavelength of 0.5 µm.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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let aperture stop == radius of lens == object height

A simple camera system with an f/10 thin lens is shown below.
D
ni= 1.0000
(stop)
20 mm
surface 1
1280 × 1024
y
n2 = 1.516824
(BK7 glass)
u
V
Problem
With the information provided find:
(a) the diameter D of the aperture stop,
(b) the effective focal length,f
(c) the lens power,
(d) and the diameter of the Airy disk at the design wavelength of 0.5 µm.
Transcribed Image Text:A simple camera system with an f/10 thin lens is shown below. D ni= 1.0000 (stop) 20 mm surface 1 1280 × 1024 y n2 = 1.516824 (BK7 glass) u V Problem With the information provided find: (a) the diameter D of the aperture stop, (b) the effective focal length,f (c) the lens power, (d) and the diameter of the Airy disk at the design wavelength of 0.5 µm.
Expert Solution
Step 1

Given:

Focal ratio = 10 ( Since f/10 lens )

Aperture stop = radius of lens = object height

n1 = 1

n2 = 1.516824

 

Step 2

(a)

The diameter of aperture stop is given by:

Physics homework question answer, step 2, image 1

Hence, the diameter D of the aperture stop is 40 mm

 

(b)

The effective focal length f is given by:

Physics homework question answer, step 2, image 2

Hence, the focal length f is 200 mm

 

(c)

The lens power is given by:

Physics homework question answer, step 2, image 3

Hence, the power of lens is 5 Diopter

 

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