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After polarizer 1, the light polarized at 0° with amplitude E0 and intensity I0.
After polarizer 2, the light becomes polarized at 45°, and its amplitude is reduced to E0cos45° and intensity 0.5I0
After polarizer 3, the light becomes polarized at 90°, and its amplitude is reduced to (E0cos45°) cos45°=0.5E0 and intensity 0.25I0
By inserting polarizer 2, no two consecutive polarizers are perpendicular, and the light is never completely wiped out at any stage.
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