IGNOU PHE 9 2016 - b) Show that superposition of two linearly polarised light waves havin

Question

b) 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.

13 Nov 2017

Answer :

Word Count : 405

When two linearly polarized light waves with different amplitudes and a finite phase difference superpose, the resulting wave can exhibit elliptical polarization. Here's how we can show that:

Consider two light waves with electric fields described as:

E1=E10cos⁡(ωt+ϕ1)E_1 = E_{10} \cos(\omega t + \phi_1)

and

E2=E20cos⁡(ωt+ϕ2)E_2 = E_{20} \cos(\omega t + \phi_2)

where E10E_{10} and E20E_{20} are the amplitudes of the two waves, ω\omega is the angular frequency, and ϕ1\phi_1 and ϕ2\phi_2 are the initial phase angles of the two waves.

The phase difference between

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