Chapter 7, Problem 15P

Compare the polarization states of each of the following pairs of plane waves:

1. (a) $\text{Wave 1:}{E}_{\text{1}}=\hat{x}2\text{cos(}\omega t-kz\text{)}+\hat{y}2\sin \text{(}\omega t-kz\text{)}$.

   $\text{Wave 2:}{E}_{\text{2}}=\hat{x}2\text{cos(}\omega t+kz\text{)}+\hat{y}2\sin \text{(}\omega t+kz\text{)}$.

2. (b) $\text{Wave 1:}{E}_{\text{1}}=\hat{x}2\text{cos(}\omega t-kz\text{)}-\hat{y}2\sin \text{(}\omega t-kz\text{)}$.

   $\text{Wave 2:}{E}_{\text{2}}=\hat{x}2\text{cos(}\omega t+kz\text{)}-\hat{y}2\sin \text{(}\omega t+kz\text{)}$.