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Monday Holiday and Virtual Class on Tuesday - Important Announcements

Please note that this Monday is a holiday, and as a result, the class will be held virtually on Tuesday. There is a reading assignment for Tuesday and section 7.1 will not be covered. However, section 7.2 will be included and handouts on Colton Fourier series/transforms will be distributed. Also, there will be a reading quiz on the technique of finding the complex index of refraction from polarization changes in reflectance.

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Monday Holiday and Virtual Class on Tuesday - Important Announcements

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  1. Announcements 2/17/12 • Prayer • Monday is holiday • Tues is virtual Monday—we have class! • Reading assignment for Tuesday • Remove section 7.1 (we’re covering it today) • Keep section 7.2 • Add Colton Fourier series/transforms handout (I will hand it out now)

  2. Reading Quiz • The technique of finding the complex index of refraction, n and k, from polarization changes in reflectance is called: • circularometry • ellipsometry • hyperbolometry • linearometry • parabolometry

  3. 3 2 Ellipsometry starts linear, angle a linear polarizer, angle q 1 does something Wikipedia http://www.gaertnerscientific.com/ellipsometers/l116sf.htm

  4. Ellipsometry, cont. Two measurements, two unknowns  deduce rs and rp  deduce n and k if multilayers: lots of measurements!

  5. On to Chapter 7!

  6. Poynting vector review

  7. Poynting vector for a sum of plane waves

  8. Two Different Velocities • What happens if a wave pulse is sent through a dispersive medium? Nondispersive? • Dispersive wave example: • f(x,t) = cos(x-4t) + cos(2 (x-5t)) • What is “v”? • What is v for w=4? What is v for w=10? • What does that wave look like as time progresses? (next slide)

  9. 0.1 seconds 0.7 seconds 1.3 seconds Mathematica What if the two velocities had been the same?

  10. Time Evolution of Dispersive Pulse Note: frequencies are infinitely close together Credit: Dr. Durfee Peak moves at about 13 m/s (on my office computer) |Amplitude|2 for each frequency component Wave moving in time

  11. Phase and Group Velocity Credit: Dr. Durfee Window is moving along with the peak of the pulse 12.5 m/s (peak) 13 m/s

  12. From Wikipedia • Example where vphase > vgroup http://en.wikipedia.org/wiki/Group_velocity

  13. One of my contributions to Wikipedia • Example where vphase is negative! http://en.wikipedia.org/wiki/Group_velocity

  14. More movies

  15. Start on Fourier handout, if time

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