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In this video learn how to derive lens maker formula for thin lens.
Derivation lens maker formula. I Aperture of lens should be small ii Lenses should be thin iiiObject should be point sized and placed on principal axis. Such rays are called paraxial rays. In optics the relationship between the distance of an image v the distance of an object u and the focal length f of the lens is given by the formula known as Lens formula.
Derivation of Lens Formula What is Lens Formula. 1u 1v 1f. A lens maker formula may be defined as the formula which gives the relationship for calc.
1 f n L n m 1 1 R 1 1 R 2 But theres a more appropriate equation that includes the thickness of the lens which is. We assume a thin converging lens and that the light rays we are dealing with are close to the principal axis and make very small angles with the principal axis angles of less than 10 o resulting in very small angles of incidence. Write the basic assumptions used in the derivation of lens makers formula and hence derive this expression.
The lens formula is given below. Consider a thin convex lens made of a material of absolute refractive index n 2 placed in a rarer medium of absolute refractive index n 1. Hence obtain the expression for lens-makers formula in the case of thin convex lens.
1 f n L n m 1 1 R 1 1 R 2 n L n m 1 d n L R 1 R 2 However I can not find any derivation of it online. The well-known equation for thin lens is. Deriving the Lensmakers Equation Deriving the Lensmakers Equation Level 4 The Lensmakers Equation links the radii of curvature of two sides of a lens the refractive index of the material from which it is made and the focal length of the lens.
The Lens Makers Formula Lens manufacturers use the lens makers formula to manufacture lenses of the desired focal length. The focal length of a lens depends on the refractive index of the lens and the radii of curvature. R1 and R2 are the radii of curvature of surfaces XP 1 Y and XP 2 Y respectively.
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