光學 OP13

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光學CH13練習題

Problem 1

A 1-mm-diameter hole is illuminated by plane waves of 546-nm light. According to the usual criterion, which technique (near-field or far-field) may be applied to the diffraction problem when the detector is at 50 cm, 1 m, and 5 m from the aperture? (03小題)

\(L=50cm\),near-（填1） or far（填2）- field?
可嘗試次數(no. of submission)= 3

01

\(L=1m\),near-（填1） or far（填2）- field?
可嘗試次數(no. of submission)= 3

02

\(L=5m\),near-（填1） or far（填2）- field?
可嘗試次數(no. of submission)= 3

03

Problem 2

A 3-mm-diameter circular hole in an opaque screen is illuminated normally by plane waves of wavelength 550 nm. A small photocell is moved along the central axis, recording the power density of the diffracted beam. Determine the locations of the first three maxima and minima as the photocell approaches the screen. (06小題)

the fisr maxima \(f_1\)=______cm
可嘗試次數(no. of submission)= 3

04

the second maxima \(f_3\)=______cm
可嘗試次數(no. of submission)= 3

05

the third maxima \(f_5\)=______cm
可嘗試次數(no. of submission)= 3

06

the fisr minima \(f_2\)=______cm
可嘗試次數(no. of submission)= 3

07

the second minima \(f_4\)=______cm
可嘗試次數(no. of submission)= 3

08

the third minima \(f_6\)=______cm
可嘗試次數(no. of submission)= 3

09

Problem 3

A distant source of sodium light (589.3 nm) illuminates a circular hole. As the hole increases in diameter, the irradiance at an axial point 1.5 m from the hole passes alternately through maxima and minima. What are the diameters of the holes that produce (a) the first two maxima and (b) the first two minima. (04小題)

(a)the first maxima=______cm
可嘗試次數(no. of submission)= 3

10

(a)the second maxima=______cm
可嘗試次數(no. of submission)= 3

11

(b)the first minima=______cm
可嘗試次數(no. of submission)= 3

12

(b)the second minima=______cm
可嘗試次數(no. of submission)= 3

13

Problem 4

Plane waves of monochromatic (600-nm) light are incident on an aperture. A detector is situated on axis at a distance of 20 cm from the aperture plane.

a. What is the value of \(R_1\) , the radius of the first Fresnel half-period zone, relative to the detector?

b. If the aperture is a circle of radius 1 cm, centered on axis, how many half-period zones does it contain?

c. If the aperture is a zone plate with every other zone blocked out and with the radius of the first zone equal to R. (found in (a)), determine the first three focal lengths of the zone plate.

(a)\(R_1\)=______
可嘗試次數(no. of submission)= 3

14

(b)N=_____
可嘗試次數(no. of submission)= 3

15

(c)\(f_1\)=_____cm
可嘗試次數(no. of submission)= 3

16

(c)\(f_3\)=_____cm
可嘗試次數(no. of submission)= 3

17

(c)\(f_5\)=_____cm
可嘗試次數(no. of submission)= 3

18

Problem 5

A zone plate is to be produced having a focal length of 2 m for a He-Ne laser of wavelength 632.8 mm. An ink drawing of 20 zones is made with alternate zones shaded in, and a reduced photographic transparency is made of the drawing.

a. If the radius of the first zone is 11.25 cm in the drawing. What reduction factor is required?

b. What is the radius of the last Zone in the drawing?

(a)the factor=_____
可嘗試次數(no. of submission)= 3

19

(b)R=_____cm
可嘗試次數(no. of submission)= 3

20

Problem 6

A single slit of width \(\frac{1}{2}\) millimeter is illuminated by a collimated beam of light of wavelength 540 mm. At what observation point on the axis does \(\Delta \nu=2.5\)? (01小題)

L=_____cm
可嘗試次數(no. of submission)= 3

21

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