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Thread: Is this calculation correct?

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    Is this calculation correct?

    I've swept away the dust from my old optics books. Is this calculation correct?
    If the radius of curvature of a lens is 25 mm and the index is 1,67 the lens power is:

    F=(n'-1)/r
    F=0,67/0,025 = +26,8 D

    Then for this lens the focal distance is:

    F = n' / f '
    26,8 = 1,67 / f'
    f' = 16,04 meters.



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    Objection! OptiBoard Gold Supporter shanbaum's Avatar
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    No, the focal length is the reciprocal of the dioptric power, so 1/26.8 = 0.037 meters, or 3.7 centimeters.

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    Quote Originally Posted by shanbaum View Post
    No, the focal length is the reciprocal of the dioptric power, so 1/26.8 = 0.037 meters, or 3.7 centimeters.
    Thanks for reply!

    Are you sure its not 1/dipters for thin lenses and diopters/n' used for thick lenses?

    My books says:
    F = (n'-n)/r = n / f = -n'/f'

    EDIT: But you are probably right, 16,04 meters doesn't make sense for a 26,8 D lens.
    Last edited by Garimo; 11-12-2012 at 04:39 PM.

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    Objection! OptiBoard Gold Supporter shanbaum's Avatar
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    Am I sure? As sure as the day is long! I can't make any sense of "F = (n'-n)/r = n / f = -n'/f'", sorry.

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    Master OptiBoarder MakeOptics's Avatar
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    Quote Originally Posted by Garimo View Post
    Thanks for reply!

    Are you sure its not 1/dipters for thin lenses and diopters/n' used for thick lenses?

    My books says:
    F = (n'-n)/r = n / f = -n'/f'

    EDIT: But you are probably right, 16,04 meters doesn't make sense for a 26,8 D lens.
    1/D = focal length in air since the index of air is approximately 1, if you were looking for the focal length through the material like for instance the focal length of a rod then yes the 1.67/D would be correct.

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