3. Maxwell’s equations

6. Plane waves in a vacuum

14. 1638 - Galileo attempts to measure the speed of light by a lantern relay between distant hilltops. He gets a very large answer.

16. Albert Einstein, when asked to describe radio, replied: "You see, wire telegraph is a kind of a very, very long cat. You pull his tail in New York and his head is meowing in Los Angeles. Do you understand this? And radio operates exactly the same way: you send signals here, they receive them there. The only difference is that there is no cat."

17. There was a young lady named Bright, Whose speed was far faster than light; She set out one day, In a relative way, And returned home the previous night.

18. one dimensional wave equation x y z EyEy

19. x y z EyEy

20. MOST GENERAL SOLUTION!! E y = a F(z - ct) + b G(z + ct) = a F  b G  where F & G are arbitrary functions that depend on the excitation

23. Q. E. D. E y = a F(z - ct) + b G(z + ct) = a F  b G  is a solution of the wave equation!!! 

24. E y = aF(z - ct) + bG(z + ct) = aF  bG  z EyEy t = T z EyEy t = 2T

25. E y = aF(z - ct) + bG(z + ct)

26. 0 -10 10 z E y = aF(z - ct) + bG(z + ct) = aF  bG  Let c = 2  z - ct =  z + ct =  t z   z        5 t

27. 0 -10 10 z E y = aF(z - ct) + bG(z + ct) = aF  bG  Let c = 2  z - ct =  z + ct =  t z   z        5 t

29. perturbation transverse to the direction of propagation “transverse waves”

30. “trajectory” z t * * * *

32. the flood

33. whips and chains

37. “the slinky wave”

39. perturbation is in the direction of propagation “longitudinal wave” sound waves--compression & rarefaction of air

40. ion acoustic wave in a plasma

41. nerve propagation test for MS

42. Pulse generator

43. general properties of linear waves

45. soliton - soliton collision

46. Twinkie shortage looms March 21, 2000 PORTLAND, Maine (AP) - A Teamsters strike against a bakery company is creating shortage of Twinkies across parts of the Northeast. A Philadelphia bakery was shut down after pickets appeared Monday, and Teamsters planned to set up pickets in Buffalo, N.Y., as well. A New York City bakery also was shut down over the weekend. "It's a wave that's going to go right across the country," said Richard Volpe, director for the union in the United States and Canada.