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Polaroids at an Angle

28.Unpolarise...

Question

28.Unpolarised light of intensity I is incident on a polarizer and the emerging light strikes a second polarizingfilter with its axis at 45 degrees to that of the first, Determine a)The intensity of the emerging beam and b)Its state of polarization

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Solution

$W h e n u n p o l a r i s e d l i g h t i n c i d e n t o n t h e p o l a r i z e r t h e n t h e r e s u l \tan t i n t e n s i t y i s g i v e n b y : I = I_{0} < \cos^{2} θ > I = \frac{I_{0}}{2} w h e n t h i s l i g h t r a y s t r i k e s t o t h e o t h e r p o l a r i z e r t h e n i n t e n s i t y o f t h e e m e r g e n t r a y w i l l b e, I' = I \cos^{2} 45 I' = \frac{I}{2} I' = \frac{I_{0}}{4} a n d e m e r e g n t r a y w i l l b e l i n e a r l y p o l a r i z e d .$

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