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Spherical Reflectors

The optical principle of a spherical reflector is simple: When a light source is placed at the center of a sphere, i.e. at its focal point, each ray of light hits the reflector at an angle of 90° to the surface of the reflector at that point. Thus, both the angle of incidence and the angle of reflection are 0°, and the ray is reflected back on the same course, passing once more through the center of the sphere  .
Some theatre luminaires use spherical reflectors to increase the efficiency of the luminaire by collecting light from the lamp which would otherwise have been directed to the back of the instrument and never reached the stage. A spherical reflector can increase the efficiency of the luminaire by as much as 40%.
Several conditions are necessary for a spherical reflector to be effective:
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  • The centers of the reflector, of the filament and of the lens must be aligned on the optical axis of the luminaire. 
  • The distance from the center of the filament to the reflector must be equivalent to the radius of the sphere.
  • The reflector must be large enough to collect light rays from as large a part of the circumference as possible.
  • Spherical reflectors are found in most focusable lens spotlights and are also used in some types of profile spots.

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An optical system including a spherical reflector, a lamp and lenses. 
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The lamp and spherical reflector of a PC spot.