The critical angle θ crit for the light traveling in the core and reflecting at the interface with the cladding material.

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Answer 1

Question

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

(b)

To determine

The expression is sinθi=n12−n22.

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

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Optical fibers are constructed with a cylindrical core surrounded by a sheath of cladding material. Common materials used are pure silica (n2 = 1.450) for the cladding and silica doped with germanium (n1 = 1.465) for the core. (a) What is the critical angle θcrit for light traveling in the core and reflecting at the interface with the cladding material? (b) The numerical aperture (NA) is defined as the angle of incidence θi at the flat end of the cable for which light is incident on the core–cladding interface at angle θcrit. Show that sin θi = √(n21 - n22) . (c) What is the value of θi for n1 = 1.465 and n2 = 1.450?

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Often in optics scientists take advantage of effects that require very high intensity light. To get the desired effect a scientist uses a laser with power P = 0.0065 W to reach an intensity of I = 170 W/cm2 by focusing it through a lens of focal length f = 0.11 m. The beam has a radius of r = 0.0011m when it enters the lens. Randomized VariablesP = 0.0065 WI = 170 W/cm2f = 0.11 mr = 0.0011 Part (a) Express the radius of the beam, rp, at the point where it reaches the desired intensity in terms of the given quantities. (In other words, what radius does the beam have to have after passing through the lens in order to have the desired intensity?) Part (b) Give an expression for the tangent of the angle that the edge of the beam exits the lens with with respect to the normal to the lens surface, in terms of r and f? Part (c) Express the distance, D, between the lens's focal point and the illuminated object using tan(α) and rp. Part (d) Find the distance, D, in centimeters.…

Answer 2

Question

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

(b)

To determine

The expression is sinθi=n12−n22.

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

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Answer 3

Question

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

(b)

To determine

The expression is sinθi=n12−n22.

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

(b)

To determine

The expression is sinθi=n12−n22.

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

(b)

To determine

The expression is sinθi=n12−n22.

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

Answer 6

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

Answer 7

Chapter 33, Problem 33.46P

(a)

To determine

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

Answer 8

(b)

To determine

The expression is sinθi=n12−n22.

Answer 9

(b)

To determine

The expression is sinθi=n12−n22.

Answer 10

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

Answer 11

(c)

To determine

The value of θi for n1=1.465 and n2=1.450.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 33.1 - Some crystals are not isotropic: Light travels...Ch. 33.2 - You are standing on the shore of a lake. You spot...Ch. 33.3 - In which of the following situations is there...Ch. 33.5 - You are taking a photograph of a sunlit office...Ch. 33.7 - Sound travels faster in warm air than in cold air....Ch. 33 - Light requires about 8 minutes to travel from the...Ch. 33 - Sunlight or starlight passing through the earths...Ch. 33 - A beam of light goes from one material into...Ch. 33 - Prob. 33.4DQ Ch. 33 - Prob. 33.5DQ

The critical angle θ crit for the light traveling in the core and reflecting at the interface with the cladding material.

Concept explainers

The critical angle θcrit for the light traveling in the core and reflecting at the interface with the cladding material.

The expression is sinθi=n12−n22.

The value of θi for n1=1.465 and n2=1.450.

Want to see the full answer?

Chapter 33 Solutions