Deviation produced by a thin lens
Deviation produced by a thin lens
- In this figure I is the image of the object O.
- From ΔOPI,
δ = ∝ + β …(1)
- For paraxial rays ∝ and β are very small.
- So, ∝ ≈ tan ∝, and β ≈ tan β
- From ΔOPL
∝ ≈ tan ∝ = PL / OL
or ∝ = h / (−u) …(2)
- From ΔPIL,
β ≈ tan β = PL / LI
or β = h / v …(3)
- From equations (1), (2) and (3), we get
…(4)
- For thin lens, lens formula is
…(5)
- From equations (4) and (5), we get
- Since the value of δ does not depend on ∝ and β.
- Therefore all the rays incident at P would suffer the same deviation.
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