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How many re-fractions occur as a light ray travels through a lens?
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Why is it possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre?
There are a few reasons why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre. One reason is that when light passes through a lens, the lens refracts the light in such a way that the light is brought to a focus. The amount of refraction that occurs depends on the curvature of the lens and the index of refraction of the lens material. However, no matter how curved the lens is, the amount of refraction is always the same at the optical centre of the lens. This is because the optical centre is the point on the lens where the light rays passing through the lens are parallel to the principal axis of the lens. Another reason why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre is that when a lens is rotated about its optical axis, the image formed by the lens does not rotate. This is because the optical centre of a lens is invariant with respect to rotation. This means that it is not necessary to take into account the actual refractions that occur at different points on the lens when calculating the image formation by the lens.
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Why is it possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre?
There are a few reasons why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre. One reason is that when light passes through a lens, the lens refracts the light in such a way that the light is brought to a focus. The amount of refraction that occurs depends on the curvature of the lens and the index of refraction of the lens material. However, no matter how curved the lens is, the amount of refraction is always the same at the optical centre of the lens. This is because the optical centre is the point on the lens where the light rays passing through the lens are parallel to the principal axis of the lens. Another reason why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre is that when a lens is rotated about its optical axis, the image formed by the lens does not rotate. This is because the optical centre of a lens is invariant with respect to rotation. This means that it is not necessary to take into account the actual refractions that occur at different points on the lens when calculating the image formation by the lens.
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