Mathematics of Lenses and Optical Glass

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PROPERTIES OF LENSES, OPTICAL GLASS

Composition

Glass is a solid, structureless and amorphous. There are two main group classification of optical glass:

1. Crown, and

2. Flint (has a high content of lead oxide)

Chemicals are combined to produce new glass types. These new glass types are used to benefit other different types of cameras (such as high-speed minature cameras, black/white cameras, etc).

Properties

The most important optical characteristics of a glass are its refractive index and its degree of dispersion.

Refraction is the phenomenon of a light ray that passes from air to glass or from glass to air, and is deflected from its path when it meets the glass surface at an angle. The glasses magnitude depends on two things: the material of the glass and its wavelength. We can see wavelengths as coloured light from (spectrum colours) red, orange, yellow, green, blue, indigo and violet. An example of this is the refraction of light on a raindrop, where we may see a rainbow.

Note, that the shorter the wavelength of the light, the more the ray strikes the glass surface is refracted. Blue and violet rays are deflected more than red rays. The degree of the deflection is a case characterized by a value, the refractive index n. It varies from the different colours of the spectrum. The degree of refraction is given by Snellius's law of refraction:

where r is the angle or refraction and i is the angle of incidence

The value of n for air is 1.00, water is 1.33, crown glass is 1.46 to 1.72 and flint glass is 1.55 to 1.80.

In a camera, light is transmitted by the aperture. It forms on the screen a circle of light which is the image of the object point. When the distance of the screen from the aperture is increased, the image will become larger as well as the diameter of the circle of light (image point). The size of the aperature depends on the diameter of the circle of light from the image. The light that passes the aperature is scattered or diffracted. So, if the aperature is too small, the image may become less sharp because of the scatter of light at the aperature opening. A sharp image must have a aperture large enough to reduce the effects of diffraction to a minimum.

Lens Shapes

A lens is a glass body bounded by two surfaces centred on the optical axis of the lens.

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