Lens maker's formula is the relation between the focal length of a lens to the refractive index of its material and the radii of curvature of its two surfaces. It is used by lens manufacturers to make the lenses of particular power from the glass of a given refractive index.
Lens manufacturers use the lens maker’s formula to manufacture lenses of the desired focal length. Lenses of different focal lengths 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.
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Lens maker's formula is the relation between the focal length of a lens to the refractive index of its material and the radii of curvature of its two surfaces. It is used by lens manufacturers to make the lenses of particular power from the glass of a given refractive index.
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Lens maker's formula:
Lens manufacturers use the lens maker’s formula to manufacture lenses of the desired focal length. Lenses of different focal lengths 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:
[tex] \frac{1}{f} = (n - 1)( \frac{1}{r} _{1} - \frac{1}{r} _{2})[/tex]
The Lens Maker's Equation for Thick Lenses:
[tex] \frac{1}{f} = (n - 1) [ \frac{1}{R}_{1} - \frac{1}{R}_{2} + \frac{(n - 1)d}{n \times R_{1} + R_{2}} ] [/tex]
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