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    Fabry-Perot Etalon: Radius of a bright ring.

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    A source of visible light is placed before an air-spaced Fabry-Perot etalon od diameter 20mm and mirror separation d = 1mm. The light transmitted by the etalon passes through a convex lens of focal length f and is incident on a screen positioned in the focal plane of the lens.

    For an extended monochromatic source of wavelength λ = 500nm, a set of ring-shaped fringes is produced on the screen, with a maximum of density at the centre of the pattern. Show that, in the small angle approximation, the radius r of the smallest bright ring is given by

    r = f*sqrt(λ/d)

    where sqrt means square-root.

    Could you please show me how to do this derivation? Thanks.

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    A source of visible light is placed before an air-spaced Fabry-Perot etalon od diameter 20mm and mirror separation d = 1mm. The light transmitted by the etalon passes through a convex lens of focal length f and is incident on a screen positioned in the focal plane of the lens.
    For an extended monochromatic source of wavelength λ = 500nm, a set of ring-shaped fringes is produced on the screen, ...

    Solution Summary

    The radius of a bright ring formed due to intereference of light by a Fabry-Perot etaton is calculated.

    $2.49

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