1) 2) 3) 4) A monochromatic laser beam of intensity Io = 332 W/m2 is polarized i
ID: 2245364 • Letter: 1
Question
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A monochromatic laser beam of intensity Io = 332 W/m2 is polarized in the y-direction and propagates in the positive z-direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of ?1 = 79 degrees with the positive x axis. What is Imid, the intensity of the beam immediately following the polarizer whose transmission axis is aligned with the x-axis? What is I final, the intensity of the beam immediately following the last polarizer? What is the ratio of Ey,final, the maximum value of the y-component of the electric field immediately following the last polarizer, to Eo, the amplitude of the electric field oscillations in the incident polarized beam? The positions of the quarter-wave plate and the last polarizer are now interchanged. What is Ifinal, new, the intensity of the beam after passing through the new arrangement of the two polarizers and the quarter-wave plate?Explanation / Answer
Imid = I0 cos^2(45)
= 332 (1/2)
= 166 W/m^2
Ifinal = Imid cos^2(theta1)
= 166 * cos^2(79)
= 6.04 W/m^2
Eyfinal / E0 = sqrt (sin^2(theta1) * Ifinal / I0)
= 0.132
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