In: Physics
E(y,t) = Eocos(ky-ωt)x
where x is the unit vector in the x direction, is a solution of your derived equation. In what direction is this wave propagating?
Suppose the wavelength of the light is 700nm, what is k in rad nm-1? What is ω in rad/s? If Eo=300V/m, what is the electric field at time t=3.5fs (femto seconds) and y = 300nm? What is the force (magnitude and direction) this field exerts on an electron?
Bonus: What is the corresponding magnetic field? What is the force exerted by this magnetic field on the same electron (assuming the electron starts from rest and is acted on by the electric field for .1fs)?