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
function (pdf)
, Find the pdf of
.
Solution: To find the pdf of
note:
= , 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
is measured.)
Solution: (a) W ith the coordinate system given in the class, the selection of
and
gives
Thus, the modified Stokes parameters
are (b) This is an elliptical polarization, and is right handed since
. Using Ishimaru’s
formulas:
,
,
to find
degrees
and
degrees. The polarization ellipse is rotated 58.28 degrees with respect to
the
axis and has an axial ratio ...
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This note was uploaded on 10/02/2011 for the course ECE 812 taught by Professor Johnson during the Spring '11 term at Ohio University Athens.
 Spring '11
 Johnson

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