17_Wave_Optics

# 17_Wave_Optics - Review problem Chapter 17 page 575 #13. A...

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1 Review problem Chapter 17 page 575 #13. A 1.0cm wide diffraction grating has 1000 slits. It is illuminated by light of wavelength 550nm. What are the angles of the first two diffraction orders?

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2 Review problem Chapter 17 page 576. Problem 25 Solar cells are given antireflection coatings to maximize their efficiency…. .
3 Wave Optics The wave model Diffraction and interference Double slit and grating interference Index of refraction Thin-film interference Huygens’ principle Single-slit and circular diffraction

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4 What is light? • We know light is a small part of the Electromagnetic spectrum, λ=400nm-750nm • Three models for light • Wave model – light acts as waves • Ray model – light travels in straight lines • Photon model – light is made of quanta of energy
5 Interference of light • Wave effects can be seen with light when we look at the them with “small” probes. • Light wavelength is 500nm. We can just see the aspects of waves with instruments of dimensions of 0.5mm (1000 wavelengths) • At larger dimensions, light acts as rays.

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6 Young’s double slit experiment In 1801, Young showed light diffracted like water waves. Difficult to do with sunlight and cards in a darkened room.
7 Fringes from the double slit In Ch 16, we saw that • constructive interference occurs when the waves align, or in phase. • destructive interference occurs when the waves are out of phase

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8 Fringe spacing The light fringes occur when the path difference between the 2 slits and the screen are a whole number of wavelengths
9 Fringe spacing Path difference, Δr, at an angle, θ, must be a whole number of wavelengths: ... 3 , 2 , 1 , 0 m m r

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10 Fringe spacing For a slit distance, d, and angle, θ: ... 3 , 2 , 1 , 0 sin sin m m d d r
11 Fringe spacing For small angles, θ<<1 ... 3 , 2 , 1 , 0 m d m m d m

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12 Fringe spacing If the screen is a distance L away: ... 3 , 2 , 1 , 0 tan sin tan m d L m y L y m
13 Dark fringe spacing Path difference, Δr, at an angle, θ, must be a whole number + 1/2 of wavelengths for destructive interference: ... 3 , 2 , 1 , 0 2 1 m m r

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## This note was uploaded on 12/28/2011 for the course PHYSICS 122 taught by Professor Bhagat during the Fall '11 term at Maryland.

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17_Wave_Optics - Review problem Chapter 17 page 575 #13. A...

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