光學 CH11

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光學CH11練習題

Problem 1

Call the irradiance at the center of the central Fraunhofer diffraction maximum of a single slit \(I_0\) and the irradiance at some other point in the pattern \(I\). Obtain the ratio \(I/I_0\) for a point on the screen that is \(3/4\) of a wavelength farther from one edge of the slit than the other. (01小題)

\(I/I_0\)=_____
可嘗試次數(no. of submission)= 3

01

Problem 2

In viewing the far-field diffraction pattern of a single slit illuminated by a discrete-spectrum source with the help of absorption filters, one finds that the fifth minimum of one wavelength component coincides exactly with the fourth minimum of the pattern due to a wavelength of 620 mm. What is the other wavelength? (01小題)

the wavelength=_____nm
可嘗試次數(no. of submission)= 3

02

Problem 3

Calculate the rectangular slit width that will produce a central maximum in its far-field diffraction pattern having an angular breadth of \(30^0\), \(45^0\), \(90^0\), and \(180^0\). Assume a wavelength of \(550 nm\). (04小題)

\(\phi=30^0\),the slit width=_____\{\mu m\}
可嘗試次數(no. of submission)= 3

03

\(\phi=45^0\),the slit width=_____\{\mu m\}
可嘗試次數(no. of submission)= 3

04

\(\phi=90^0\),the slit width=_____\{\mu m\}
可嘗試次數(no. of submission)= 3

05

\(\phi=180^0\),the slit width=_____\{\mu m\}
可嘗試次數(no. of submission)= 3

06

Problem 4

A telescope objective is \(12 cm\) in diameter and has a focal length of \(150 cm\). Light of mean wavelength \(550 nm\) from a distant star enters the scope as a nearly collimated beam. Compute the radius of the central disk of light forming the image of the star on the focal plane of the lens. (01小題)

the radius=_____m
可嘗試次數(no. of submission)= 3

07

Problem 5

Two headlights on an automobile are 45 in. apart. How far away will the lights appear to be if they are just resolvable to a person whose nocturnal pupils are just \(5 mm\) in diameter? Assume an average wavelength of \(550 nm\). (01小題)

L=_____cm
可嘗試次數(no. of submission)= 3

08

Problem 6

Assume that the pupil diameter of a normal eye typically can vary from 2 to 7 mm in response to ambient light variations.

a. What is the corresponding range of distances over which such an eye can detect the separation of objects 1 mm apart?

b. Experiment to find the range of distances over which you can detect the separation of lines placed 1 mm. apart. Use the results of your experiment to estimate the diameter range of your own pupils.

(a)\(L_{min}\)=_____m
可嘗試次數(no. of submission)= 3

09

(a)\(L_{max}\)=_____m
可嘗試次數(no. of submission)= 3

10

(b)D=_____L
可嘗試次數(no. of submission)= 3

11

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