In equation (1), if the amplitude of the components of electric field along x axis and y axis are equal

                      

And the phase difference

Then equation (1) reduces to

                    .............................. (2)

Let us monitor the variation of electric field as a function of time at a given location in the longitudinal direction say z=0.From equation 2

                    ........................................ (3)

The magnitude of the x and y component of the electric field , the direction of the electric field and the resultant electric field as a function of time are listed in table 1.