what is the formula of lens maker
Answers
Answer:
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Lens manufacturers use the lens maker’s formula to manufacture lenses of the desired focal length. Lenses of different focal length are used for different optical instruments. The focal length of a lens depends on the refractive index of the lens and the radii of curvature. The lens maker’s equation is another formula used for lenses that give us a relationship between the focal length, refractive index, and radii of curvature of the two spheres used in lenses.
The lens maker’s equation for thin lenses is as given below as;
1f = (n−1)
(1R1 − 1R2
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Answer:
A lens maker formula may be defined as the formula which gives the relationship for calculating focal length(f) in term of Radii of the two curvatures of lens that is R1 and R2 and the refractive index of lens and surrounding
1/f=(n2/n1 - 1)(1/R1 - 1/R2)
Explanation:
The lens maker’s equation is another formula used for lenses that give us a relationship between the focal length, refractive index, and radii of curvature of the two spheres used in lenses.
The lens maker’s equation for thin lenses is as given below as;
1f = (n−1)(1R1 − 1R2)
where,
f is the focal length (half the radius of curvature)
n is the refractive index of the material used
R1 is the radius of curvature of sphere 1
R2 is the radius of curvature of sphere 2
As previously mentioned, this equation can be used only for thin lenses. Lenses where the thickness is lesser, such that they are considered negligible in comparison to the radius of curvature, are referred to as thin lenses.
If the thickness of lens has to be considered in comparison to the radius of curvature, the following lens formula for thick lenses can be used.
1f = (n−1)[1R1 − 1R2 + (n−1)dn×R1×R2]
where,
d is the thickness of the lens in consideration.
Another situation which has to be considered is the lens maker’s formula accounting for objects that are present in different media. The equation is as follows,
1f=[n1n2 − 1] × [R1 − R2R1 × R2]
where,
n1 is the refractive index of the lens in consideration
n2 is the refractive index of the medium outside