Question

please answer all 6 questions

A monochromatic laser beam of intensity le=553 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 01 = 69 degrees with the positive x axis. Side View QWP Polarized along y End View 1) What is Imid, the intensity of the beam imediately following the polarizer whose transmission axis is aligned with the X-axis? W/m2 Submit 2) What is Itinal, the intensity of the beam immediately following the last polarizer? W/m2 Submit

Answer 1

1) The intensity of the beam immediately following the polarizer: 1 = = 53 = 276.5 W 2) Applying the Malus law: 12 = 1; cos= 276.5 cosa 69° = 35.5“, 3) Remember that: 12 sin? Ey 2 W 10 Ey Ex = = ) 1. sine = A 35.5 276,5 sin(69) = 0.335 4) In this case, the intensity will be given by: 1 = lo cos? (90 - 0) cos? (0) 1 = 553 cos(90 - 69) cos(69) 1 = 61.9 5) Left circularly polarized. 6) There are two values