Derive expressions for the time averaged energy density for the electric and magnetic
field as well as the time averaged Poynting vector. You will need to start from
conservation of energy in small volume element in
Polarization and optical activity:
Describe completely the state of polarization of each of the following waves and
write it in the matrix form.
E ( z , t ) = i cos (t ) + j cos t E0 sin (
Referring back to the multiple antenna system on p.451 (Hecht), compute the
angular separation between successive lobes or principal maxima and the width of
the central maximum.
A collimated beam of microwaves impinges on a
1. The equation for a driven damped oscillator is
m x + m x + m02 x = mqE ( t )
Considering a bound electron as an oscillator,
(a) Explain the significance of each term.
(b) Let E ( t ) = E0 exp ( it ) and the trial solution, x ( t ) = x0 ex
Scattering, Interference and Coherence:
Work your way through an argument using dimensional analysis to establish the 4
dependence of the percentage of light scattered in Raleigh Scattering.
A white floodlight beam crosses a large volum
Nonlinear Optics and Ultrafast Optics:
What is the electric field experienced by an electron in a hydrogen atom?
Show that the maximum electric-field intensity, Emax that exists for a given
irradiance I is Emax
As you drive by an AM radio station, you notice a sign saying that its antenna is 112 m
high. If this height represents one quarter-wavelength of its signal, what is the frequency
of the station?
What is your favorite FM radio stations frequ