光學 CH08

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光學CH08練習題

Problem 1

When one mirror of a Michelson interferometer is translated by 0.0114cm, 523 fringes are observed to pass the crosshairs of the viewing telescope. Calculate the wavelength of the light. (01小題)

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

01

Problem 2

A thin sheet of fluorite of index 1.434 is inserted normally into one beam of a Michelson interferometer. Using light of wavelength 589nm, the fringe pattern is found to shift by 35 fringes. What is the thickness of the sheet? (01小題)

the thickness of the sheet=______m
可嘗試次數(no. of submission)= 3

02

Problem 3

Looking into a Michelson interferometer, one sees a dark central disk surrounded by concentric bright and dark rings. One arm of the device is \(2cm\) longer than the other, and the wavelength is \(500nm\). Determine (a) the order of the central disc and (b) the order of the sixth dark ring from the center. (02小題)

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

03

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

04

Problem 4

A polished surface is examined using a Michelson interferometer with the polished surface replacing one of the mirrors. A fringe pattern characterizing the surface contour is observed using He-Ne light of wavelength 632.8 nm. Fringe distortion over the surface is found to be less than one-fourth the fringe separation at any point. What is the maximum depth of polishing defects on the surface? (01小題)

the depth=______nm
可嘗試次數(no. of submission)= 3

05

Problem 5

The separation of a certain doublet is \(0.0055nm\) at a wavelength of \(490nm\). A variable-spaced Fabry-Perot interferometer is used to examine the doublet. At what spacing does the \(m\)th order of one component coincide with the \((m+1)\)th order of the other? (01小題)

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

06

Problem 6

Assume that in a Mach-Zehnder interferometer (Figure 8-5), the beam splitter and mirror M3 each transmit 80% and reflect 20% of the incident light. Compare the visibility (Eq.(7-17)) when observing the interference of the two emerging beams (shown) with the visibility that results from the two beams emerging from M3 along a direction at relative to first (not shown). For the second case, beam (1) is reflected and beam (2) is transmitted at M3.

Case 1 :visibility=_____
可嘗試次數(no. of submission)= 3

07

Case 2 :visibility=_____
可嘗試次數(no. of submission)= 3

08

Problem 7

The reflectance R (see Problem 8-15) of a Febry-Perot etalon is 0.6. Determine the ratio of transmittance of the etalon at maximum to the transmittance at halfway between maxima. (01小題)

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

09

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