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Unformatted text preview: Quiz 1
ECE 816 Spring Quarter 2011
April 11th, 2011
Problem 1: Consider a random variable X with the exponential probability density
, Find the pdf of
Solution: To find the pdf of
= , we can follow the example in page 13 of the lecture = Problem 2: (a) Find the modified Stokes vector corresponding to the electric field
(V/m) that propagates in the
direction in free space; note
you will need to specify a coordinate system.
(b) What type of polarization is this? If your answer is not “linear”, specify the
handedness (i.e. left or right) of the polarization. If your answer is “elliptical”, also
specify the axial ratio and tilt angle of the ellipse (and the axis from which this tilt angle
Solution: (a) W ith the coordinate system given in the class, the selection of
Thus, the modified Stokes parameters
are (b) This is an elliptical polarization, and is right handed since
. Using Ishimaru’s
degrees. The polarization ellipse is rotated 58.28 degrees with respect to
axis and has an axial ratio ...
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- Spring '11