Chapter 34b - Thin Lenses Last time we considered image...

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Thin Lenses Last time we considered image formation by a single spherical surface where the light rays are refracted (deviated) upon crossing the (spherical) interface. i θ r θ i r p 1 n 2 n 12 2 1 nn p ir +=
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It is the deviation of the rays on refraction through the surface (in accord with Snell’s law) that causes the convergence or divergence of the rays that leads to image formation. r p 12 nn = If there is no change in refractive index no image can form.
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Two spherical refracting surfaces of the same index of refraction, n , merged into one, make up a lens, which refracts at each interface. We consider two types: n Converging lens (object rays converge) Diverging lens (object rays diverge) nn > >
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With T the thickest part of the lens if: 12 1n 1 1 1 fn r r ⎛⎞ =− ⎜⎟ ⎝⎠ T r,r ,p&i << The lens is a thin lens & obeys the lens maker’s formula: r 1 radius of side nearer object r 2 opposite side. Converging: + r 1 , – r 2 Diverging: – r 1 , + r 2 + f f n : refractive index of lens : refractive index of medium ( 1 for air) n signs: (real) (virtual)
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11 1 p if += i m p =−
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This note was uploaded on 03/12/2010 for the course PHY PHY taught by Professor Mueller during the Spring '09 term at University of Florida.

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Chapter 34b - Thin Lenses Last time we considered image...

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