In this case the solutions are elliptically polarized electromagnetic waves with phase velocities 1 / \ sqrt { \ mu ( \ varepsilon _ 1 \ pm g _ z ) } ( where ? is the magnetic permeability ).
12.
Mathematically, an elliptically polarized wave may be described as the vector sum of two waves of equal wavelength but unequal amplitude, and in quadrature ( having their respective electric vectors at right angles and ? / 2 radians out of phase ).
13.
Unlike linearly or elliptically polarized light, it passes through a polarizer with 50 % intensity loss whatever the orientation of the polarizer; and unlike circularly polarized light, it cannot be made linearly polarized with any wave plate because randomly oriented polarization will emerge from a wave plate with random orientation.