Download Homework set 1, due September 4, 11:40 am

Homework set 2, due Monday September 14, 2015, 10:30 am
1. (20 points) Imagine an electromagnetic plane wave in vacuum whose E-field (in
SI units) is given by
Determine the speed, frequency, wavelength, period, initial phase, E-field
amplitude and polarization. Write an expression for the magnetic field associated
with the wave.
2.
(20 points) A plane electromagnetic harmonic wave of frequency 600 x 1012 Hz
(green light), propagating in the positive x-direction in vacuum, has an electric
field amplitude of 42.42 V/ m. The wave is linearly polarized such that the plane
of vibration of the electric field is at 45 ° to the xz-plane. Write expressions for E
and B.
3.
(20 points) A focused C02 laser beam putting out a continuous wave (=10,600
nm) of 3 kW is capable of burning a hole through a quarter-inch thick stainless
steel slab in about 10 seconds. Determine the irradiance when such a beam has a
focused spot area of 10 − 5 cm2. What is the electric field amplitude?
4.
(20 points) Tiny glass spheres have been suspended in midair on a beam of laser
light. What is the force on a perfectly reflecting 9 × 10 −2-cm 2 surface arising
from a 600-W collimated laser beam having a cross-sectional area of 4 mm2?
5. (20 points) Consider a linearly polarized plane electromagnetic wave traveling in
the +x-direction in free space having as its plane of vibration the xy plane. Given
that its frequency is 10 MHz and its amplitude is E0= 0.08 V/m
(a) Find the period and wavelength of the wave.
(b) Write an expression for E(t) and B(t)
(c) Find the flux density, <S>, of the wave.