Maxwells equations Plane waves in a vacuum Plane

Maxwell’s equations

Plane waves in a vacuum

Plane waves in a vacuum

Plane waves in a vacuum

Plane waves in a vacuum

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

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. "

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.

one dimensional wave equation Ey x yz

one dimensional wave equation Ey x yz

• MOST GENERAL SOLUTION!! • Ey = a F(z - ct) + b G(z + ct) • = a F b G • where F & G are arbitrary functions that depend on the excitation

• Q. E. D. • Ey = a F(z - ct) + b G(z + ct) • = a F b G • is a solution of the wave equation!!!

Ey = a. F(z - ct) + b. G(z + ct) = a. F b. G Ey Ey t=T z t = 2 T z

Ey = a. F(z - ct) + b. G(z + ct)

Ey = a. F(z - ct) + b. G(z + ct) = a. F b. G Let c=2 10 z = z - ct = 0 = z + ct = 0 t z z 0 0 0 1 2 -2 2 4 -4 3 6 -6 4 8 -8 0 -10 5 t

Ey = a. F(z - ct) + b. G(z + ct) = a. F b. G Let c=2 10 z = z - ct = 0 = z + ct = 0 t z z 0 0 0 1 2 -2 2 4 -4 3 6 -6 4 8 -8 0 -10 5 t

perturbation transverse to the direction of propagation “transverse waves”

perturbation transverse to the direction of propagation “transverse waves” “trajectory” z * * t

the flood

whips and chains

F(Z –CT) F(Z +CT)

“the slinky wave”

“the slinky wave”

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

ion acoustic wave in a plasma

nerve propagation test for MS

nerve propagation test for MS Pulse generator

general properties of linear waves

soliton - soliton collision

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.