Polarization
December 8, 2016
Categorised in: 1st Year Physics
(1) Brewster’s law
$$ μ = tan i_p $$
where, μ = Refractive index of the medium
$i_p$ = Polarising angle
(2) Critical angle
$$ i_c = sin^{-1}(1/μ) $$
(3) Law of Malus
$$ I = I_m cos^2θ $$
where, I = intensity of light transmitted by the analyzer
$I_m$ = intensity of light transmitted by polarizer
θ = Angle between the planes of polarizer and analyzer
(4) Thickness of QWP
$$ t = {λ}/{4(μ_e – μ_o)} $$ (for quartz crystal)
$$ t = {λ}/{4(μ_o – μ_e)} $$ (for calcite crystal)
where, t = Thickness of plate
λ = Wavelength of light
$μ_e$ = Refractive indices for extraordinary rays
$μ_o$ = Refractive indices for ordinary rays
(5) Thickness of HWP
$$ t = {λ}/{2(μ_e – μ_o)} $$ (for quartz crystal)
$$ t = {λ}/{2(μ_o – μ_e)} $$ (for calcite crystal)
(6) $i_p + r_p = 90°$
(7) $\text"Phase retardation = "{2π}/λ (μ_o – μ_e)t$
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