Let E E 1 E 2 be the electric field of the sum of two monochromatic plane waves propagating in the z direction One wave has frequency 1 and is elliptically polarized The other wave has frequency 2 and is elliptically polarized in a different way than the first wave Derive precise, quantitative conditions that relate the averaging time T to 1 and 2 so the wave intensities satisfy I I 1 I 2

Question: Let E = E 1 + E 2 be the electric field of the sum of two monochromatic plane waves propagating in the z-direction. One

Let E = E₁ + E₂be the electric field of the sum of two monochromatic plane waves propagating in the z-direction. One wave has frequency ω₁and is elliptically polarized. The other wave has frequency ω₂ and is elliptically polarized in a different way than the first wave. Derive precise, quantitative conditions that relate the averaging time T to ω₁ and ω₂ so the wave intensities satisfy I = I₁ + I₂.

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