光學 CH09

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光學CH09練習題

Problem 1

A continuous He-Ne laser beam (632.8nm) is “chopped,” using a spinning aperture, into \(1 \mu s\) pulse. Compute the resultant line width \(\Delta \lambda\) , bandwidth \(\Delta \nu\) , and coherence length. (03小題)

\(\Delta \lambda\)=_____m
可嘗試次數(no. of submission)= 3

01

bandwidth \(\Delta \nu\)=_____Hz
可嘗試次數(no. of submission)= 3

02

coherence length=_____m
可嘗試次數(no. of submission)= 3

03

Problem 2

Michelson found that the cadmium red line (643.8nm) was one of the most ideal monochromatic sources available, allowing fringes to be discerned up to a path difference of 30cm in a beam-splitting interference experiment, such as with a Michelson interferometer. Calculate (a) the wavelength spread of the line and (b) the coherence time of the source. (02小題)

(a)\(\Delta \lambda\)=______nm
可嘗試次數(no. of submission)= 3

04

(b)\(\tau_c\)=______s
可嘗試次數(no. of submission)= 3

05

Problem 3

A narrow band-pass filter transmits wavelengths in the rang \(5000 \pm 0.5\overset\circ A\). if this filter is placed in front of a source of which light, what is the coherence length of the transmitted light? (01小題)

the coherence length of the transmitted light=______m
可嘗試次數(no. of submission)= 3

06

Problem 4

Determine the linewidth in angstroms and hertz for laser light whose coherence length is \(10km\). The mean wavelength is \(6328 \overset\circ A \). (02小題)

the linewidth\(\Delta \lambda\)=_____m
可嘗試次數(no. of submission)= 3

07

the herze \(\Delta \nu\)=_____Hz
可嘗試次數(no. of submission)= 3

08

Problem 5

A Michelson interferometer forms fringes with cadmium red light of 643.847nm and linewidth of 0.0013nm. (a) What is the visibility of the fringes when one mirror is moved 1cm from the position of zero path difference between arms? (b) How does this change when distance moved is 5cm? (c) At what distance does the visibility go to zero? (03小題)

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

09

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

10

(c)the distance=_____cm
可嘗試次數(no. of submission)= 3

11

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