Show that superposition of two linearly polarised light waves having different amplitudes and a finite phase difference can be used to produce elliptically plane polarised waves. Also show that the linear polarisation and circular polarisation are special cases of elliptical polarisation.

The superposition of two linearly polarized light waves with different amplitudes and a finite phase difference can produce elliptically polarized light. Consider two waves polarized along mutually perpendicular directions xx and yy, represented as:

Ex=Axcos⁡(ωt)E_x = A_x \cos(\omega t) Ey=Aycos⁡(ωt+δ)E_y = A_y \cos(\omega t + \delta)

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