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Chapter 27

PHYS 1C Chapter 27: Chapter 27 Notes

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PHYS1C Chapter 27 Notes: Wave Optics 27.1 Conditions for Interference - Electromagnetic waves and interference o Interference occurs when combining the electric and magnetic fields that constitute the individual waves o Coherent interference: when individual waves maintain a constant phase relationship with one another o Incoherent interference: when 2 separate wave sources are placed side by side; these independent sources can undergo random changes in small amounts of time 27.2 Young’s Double-Slit Experiment - Use a monochromatic source to illuminate a barrier containing 2 slits to produce 2 coherent light sources o Coherent because the single source produces the light from the 2 slits o This is used to maintain a coherent interference, so changes in the light waves occur at both slits o When light passes through slits, they diffract - Constructive interference occurs when the distance the waves travel to the viewing screen differs by a factor of one wavelength - Destructive interference occurs when the distance the waves travel to the viewing screen differs by a factor of half a wavelength - Max occurs with constructive interference - Min occurs with destructive interference - Max occurs with the red bright fringe - Min occurs with the black fringe 27.3 Analysis Model: Waves in Interference - Quantitative description of the double-slit experiment o if L is much greater than d, the 2 paths are very close to being parallel, and you can use a simplification model in which the 2 paths are exactly parallel. Then, can say that… ∂ = r2– r1= dsin𝜃 o the path difference ∂ determines if the waves are in or out of phase when they arrive at point P (the viewing screen) o to determine the angular positions of the fringes: ▪ constructive interference: • m is the order number, where the central bright fringe is associated with m = 0 (zeroth-order maximum) • the first maximum on either side (m = ±1) is the first-order maximum, etc. ▪ destructive interference: o to determine the linear positions of the fringes: ▪ look at triangle OPQ, where tan𝜃 = y/L ▪ if the angle is small, ▪ then, new equations: • - intensity distribution of the double slit interference pattern o o I max = the intensity at point O (central bright fringe) 27.4 Change of Phase Due to Reflection - Can produce an interference pattern with a single light source
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