Chapter 11, Problem 11.34P

Given, a general elliptically polarized wave as per Eq. (93):

$E_1=\left[E_{r0}{a}_z+E_{y0}{e}^{j\varphi }ay\right]e^{-j\beta z}$

1. Show, using methods similar to those of Example 11.7, that a linearly polarized wave results when superimposing the given field and a phase-shifted field of the form:

$E_1=\left[E_{z0}{a}_z+E_{y0}{e}^{-j\varphi }ay\right]e^{-j\beta z}$

where β is a constant, (b) Find 6 in terms of ∅ such that the resultant wave is linearly polarized along x.