Fundamentals of geometrical optics

Introduction

They are made of transparent medium of index n between two diopters of radius R1 et R2. The lens axis goes through the curvature centres of the sides. This axis cuts the diopters at their vertex S1 and S2. e = S1S2 is the thicken at the vertex of the lens.


   
    Figure 41
Figure 41 [zoom...]

Diopters refracting power vare respectively :

Cv1 = (n-1)/R1 et Cv2 = (1-n)/R2

The lens is in the air, following (29) the lens refracting power Cv is :

Cv = 1/f ' = -1/f.

For certain types of lenses (ophthalmic lenses), Cv is expressed in dioptrie rated δ (1.δ = 1.m-1).

Gullstrand's formula gives the refracting power Cv of a lens as the associaiton of two diopters.

We get :


   
    Figure 42
Figure 42 [zoom...]

Convergent lenses are thicker at their centre than on their sides, inversely divergent lenses are thicker on their sides.

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