An electromagnetic plane wave travels from a denser medium with a refractive index of 2.8 to a rarer medium with a refractive index of 1.7. The incidence angle is 35º and the transmission angle is 20°. Calculate the transmission coefficient for parallel polarization.

There is a vector defined by John Henry Poynting in 1884 whose direction gives the direction that an electromagnetic wave transmits its field energy and whose magnitude is the rate at which energy is being transmitted per square meter of the wavefront. For mutually perpendicular E- and B-fields in the wave, the magnitude of the Poynting vector is S =EB/mu0 and the direction is given by a right-hand rule, curling fingers from E vector and B vector.  a) Carefully analyze the units of the Poynting vector and show that they are indeed watts per square meter.  b) Find the intensity of the light in a beam of light whose electric field strength is 360 N/C and whose magnetic field is 1.2 muT.

An electromagnetic wave is traveling out of the page (normal to page) towards you with itselectric field osscilating along the horizontal. If the peak electric field in an electromagnetic waveis 754 µV/m, what is the peak magnetic field for the same wave and the direction of the magneticfield?

We want to rotate the direction of polarization of a beam of polarized light through 90° by sending the beam through one or more polarizing sheets. (a) What is the minimum number of sheets required? (b) What is the minimum number of sheets required if the transmitted intensity is to be more than 83% of the original intensity?

From a local TV station transmitter, a sinusoidal, plane electromagnetic wave is normally incident on an open window that has an area of 0.510 m2.  The wave travels to the right in the positive x-direction at the speed of light c and the window is thus perpendicular to the x-axis.  See the schematic. Suppose the three electric field components have wave functions: EX = 0 EY = Emsin(kx-ωt) EZ = 0 See the axes below. At the moment shown the electric field - indicated by the vertically upward arrow - points in the positive y direction. Assume the field magnitude Em = 0.01000 V/m. The Erms (root mean square) of the electric field would thus be Erms = 0.00707 V/m. (a) At the moment shown above, in what direction does the magnetic field point? Indicate this direction by drawing a symbol near the z-axis. Compute the numerical value of amplitude Bm of the magnetic field component pointing in the direction you found. (b) Write the wave function for the magnetic field component you referenced in…