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wave plates for production of different type of polarized light ,Quarter plate, Half plate , Full plate

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From previous experience we found out that different phase difference produces different polarized light .  Let a plane polarized light is incident on a birefringent material. As the O-ray and E-ray Emerge out of the crystal . They have some path difference between them as different refractive index is produces different path difference. Let us consider that No and Ne  is different refractive index for O-ray and   E-ray respectively . Then the path them become .     path for O-ray=No×t       path for E-ray=Ne×t Where t is the thickness of the material So the path difference become  .   path-diff = path of O-ray - path of E-ray   =>   Path-diff=(No-Ne)×t Then the difference must be equal to   Phase-dif= (2π/(wavelength))×path_diff Quarter plate The plate in which path difference is 1/4th of wave length we call that quarter wave plate as the suggest quarter mean 4.       path-diff...