A laser produces light that is polarized in the vertical direction. The light tr

Question

A laser produces light that is polarized in the vertical direction. The light travels in the positive y-direction and passes through two polarizers, which have polarizing angles of 35° and 55° from the vertical, as shown in the figure. The laser beam is collimated (neither converging nor expanding), has a circular cross section with a diameter of 1.35 mm, and has an average power of 26 mW at point A. At point C, what are the magnitudes of the electric and magnetic fields, and what is the intensity of the laser light?
E =
B =
I0 =

Explanation / Answer

I0 = P/(R2) = 26e-3/(3.14*0.675e-3*0.675e-3) = 1.81734 * 10^4 W/m2

IC = I0 cos2(35) cos2(55-35)

IC = (1.81734e4)*(0.6710101)*(0.8830222)

IC = 1.0768 * 10^4 W/m2

E = (2Ic) = (2*1.0768e4*4*3.14e-7*3e8) = 2.85 * 10^3 V/m

B = (2I/c) = (2*1.0768e4*4*3.14e-7/(3e8)) = 9.50 * 10^-6 T

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Answers:

E = 2.85 * 10^3 V/m

B = 9.50 * 10^-6 T

IC = 1.08 * 10^4 W/m2

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