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Need part C, D, and E.  WRITE OUT EQUATIONS PLEASE. DO NOT TYPE THEM OUT IN A STRING WIHTOUT CLEARLY SHOWING WHAT IS MULITPLIED AND WHAT IS DIVIDED!

Need part C, D, and E.  WRITE OUT EQUATIONS PLEASE. DO NOT TYPE THEM OUT IN A STRING WIHTOUT CLEARLY SHOWING WHAT IS MULITPLIED AND WHAT IS DIVIDED!

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Need part C, D, and E. 

WRITE OUT EQUATIONS PLEASE. DO NOT TYPE THEM OUT IN A STRING WIHTOUT CLEARLY SHOWING WHAT IS MULITPLIED AND WHAT IS DIVIDED!

1. Suppose you are hired to work in an optics lab which utilizes green laser light at 1green = 532nm for performing a particular optical experiment. If you could reduce reflections from the lens, you could also reduce error in your experiment. You decide to apply an optical coating to your lens, but you need to determine how thick the coating should be to minimize reflections. The index of refraction of the optical coating is n2 = 2.0, the index of refraction for the lens is n3 = 1.5 and the index of refraction for air is n, = 1.0. Let the thickness of the coating be represented by the letter d. А. the coating and your lens. Show the reflection and transmission of the light at each boundary. Be sure to label the index of refraction of each medium and any other relevant information for the problem. Make a list of knowns and unknowns. В. air and the optical coating. Explain in words what happens to the laser light as it passes the discontinuity between the optical coating and the lens. Are the two reflected waves "in phase" or "out of phase" with each other? Explain. Be sure to label any phase shifts on your diagram in part (a). С. Derive a symbolic expression for the depth d of the thinnest possible coating that will eliminate reflections of the incoming green laser light. Draw a diagram (like the one done in class) which illustrates light traveling through air, Explain in words what happens to the laser light as it passes the discontinuity between The coating you are using is very expensive, so you want it to be as thin as possible. D. Check the validity of your expression from part C using at least two sensemaking techniques learned in class then evaluate this expression to find the depth d in nanometers. Evaluate this expression to find the depth d in nanometers. Е. light at red = 633nm. Do the reflected waves interfere constructively, destructively or somewhere in between? Explain in a sentence or two. (Hint: To back up your answer, it may be helpful to find the phase difference of the two reflected waves in terms of Tt). Suppose you use the lens coated for green light for an experiment which uses red laser
Transcribed Image Text:1. Suppose you are hired to work in an optics lab which utilizes green laser light at 1green = 532nm for performing a particular optical experiment. If you could reduce reflections from the lens, you could also reduce error in your experiment. You decide to apply an optical coating to your lens, but you need to determine how thick the coating should be to minimize reflections. The index of refraction of the optical coating is n2 = 2.0, the index of refraction for the lens is n3 = 1.5 and the index of refraction for air is n, = 1.0. Let the thickness of the coating be represented by the letter d. А. the coating and your lens. Show the reflection and transmission of the light at each boundary. Be sure to label the index of refraction of each medium and any other relevant information for the problem. Make a list of knowns and unknowns. В. air and the optical coating. Explain in words what happens to the laser light as it passes the discontinuity between the optical coating and the lens. Are the two reflected waves "in phase" or "out of phase" with each other? Explain. Be sure to label any phase shifts on your diagram in part (a). С. Derive a symbolic expression for the depth d of the thinnest possible coating that will eliminate reflections of the incoming green laser light. Draw a diagram (like the one done in class) which illustrates light traveling through air, Explain in words what happens to the laser light as it passes the discontinuity between The coating you are using is very expensive, so you want it to be as thin as possible. D. Check the validity of your expression from part C using at least two sensemaking techniques learned in class then evaluate this expression to find the depth d in nanometers. Evaluate this expression to find the depth d in nanometers. Е. light at red = 633nm. Do the reflected waves interfere constructively, destructively or somewhere in between? Explain in a sentence or two. (Hint: To back up your answer, it may be helpful to find the phase difference of the two reflected waves in terms of Tt). Suppose you use the lens coated for green light for an experiment which uses red laser
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