Formulas - Formulae for Physics 317L Optics Index of...

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Formulae for Physics 317L Optics Index of refraction n c n λ υ 0 = = Snell’s law of refraction: 2 2 1 1 sin sin θ n n = Critical angle for total internal reflection: 1 2 sin n n c = Mirror and thin lens equation: f s s 1 ' 1 1 = + , where 0 ' > s /0 ' < s for real/virtual image, 0 > f / 0 < f for converging/diverging mirror or lens, and 2 R f = for a spherical mirror Lateral magnification s s h h M ' ' = = Conditions for constructive/destructive interference for a double slit: m d = bright sin and () 2 1 sin dark + = m d Single slit diffraction: m d = dark sin Small angle approximation in single and double slit experiment: L y = tan sin Condition for maxima for a grating: m d = bright sin Phase change due to reflection: 180 ° from denser medium (larger n ) and 0 ° from lighter medium (smaller n ) Malus’ law for polarized light: 2 0 cos I I = Unpolarized light through a polarizer: 2 0 I I = Rayleigh’s criterion for a circular aperture: D 22 . 1 min = Electromagnetism Coulomb’s law: 2 2 1 r Q Q k F e =
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This note was uploaded on 09/27/2010 for the course PHY 58650 taught by Professor Yao during the Fall '10 term at University of Texas.

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