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How do you prove using snell's law that rays passing through the optical center of a thin lens are not refracted?
Wiki User
∙ 16y ago
Let: medium1= medium where ray enters the lens medium2= inside the lens medium3= medium where the ray is refracted outside the lens
From medium 1 to medium 2 which is the lens
Snell's law: n1sin(alfa1)=n2sin(alfa2) (1) And from medium 2 to 3 : n2sin(alfa2)=n3sin(alfa3) (2) Then, from (1) and (2): n1sin(alfa1)=n3sin(alfa3) But n3=n1 (same medium), =>n1sinalfa1=n1sinalfa3 => sin(alfa1)=sin(alfa3) (4) Therefore, alfa1=alfa2 knowing that they are less than 90o. As a conclusion the incoming ray and the refracted ray passing through the optical centre are parallel.
Wiki User
∙ 16y ago
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