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Toroidal reflector
 
 
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A toroidal mirror is a form of parabolic reflector
Parabolic reflector

A parabolic reflector is a parabola-shaped Mirror device, used to collect or distribute energy such as light, sound, or radio waves. Parabolic reflectors are used to collect energy from a distant source and bring it to a common Focus , thus correcting spherical aberration found in simpler spherical reflectors....
 which has a different focal distance depending on the angle of the mirror. The curvature is actually that of an elliptic paraboloid
Paraboloid

In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point....
 with . If the shape were that of a toroid
Toroid

Toroid may refer to:*Toroid , a doughnut-like solid whose surface is a torus.*Toroidal inductors and transformers which have wire windings on circular ring shaped magnetic cores....
, the mirror would exhibit spherical aberration
Aberration in optical systems

Aberrations are departures of the performance of an optical system from the predictions of paraxial optics. Aberration leads to blurring of the image produced by an image-forming optical system....
.

Toroidal mirrors are used in Yolo telescope
Telescope

A telescope is an instrument designed for the observation of remote objects by the collection of electromagnetic radiation. The first known practically functioning telescopes were invented in the Netherlands at the beginning of the 17th century....
s and optical monochromator
Monochromator

A monochromator is an optics device that transmits a mechanically selectable narrow band of wavelengths of light or other radiation chosen from a wider range of wavelengths available at the input....
s (mirrors C and E in the diagram). In these devices, the source and detectors of the light are not located on the optic axis of the mirror, so the use of a true paraboloid of revolution would cause a distorted image.








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A toroidal mirror is a form of parabolic reflector
Parabolic reflector

A parabolic reflector is a parabola-shaped Mirror device, used to collect or distribute energy such as light, sound, or radio waves. Parabolic reflectors are used to collect energy from a distant source and bring it to a common Focus , thus correcting spherical aberration found in simpler spherical reflectors....
 which has a different focal distance depending on the angle of the mirror. The curvature is actually that of an elliptic paraboloid
Paraboloid

In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point....
 with . If the shape were that of a toroid
Toroid

Toroid may refer to:*Toroid , a doughnut-like solid whose surface is a torus.*Toroidal inductors and transformers which have wire windings on circular ring shaped magnetic cores....
, the mirror would exhibit spherical aberration
Aberration in optical systems

Aberrations are departures of the performance of an optical system from the predictions of paraxial optics. Aberration leads to blurring of the image produced by an image-forming optical system....
.

Toroidal mirrors are used in Yolo telescope
Telescope

A telescope is an instrument designed for the observation of remote objects by the collection of electromagnetic radiation. The first known practically functioning telescopes were invented in the Netherlands at the beginning of the 17th century....
s and optical monochromator
Monochromator

A monochromator is an optics device that transmits a mechanically selectable narrow band of wavelengths of light or other radiation chosen from a wider range of wavelengths available at the input....
s (mirrors C and E in the diagram). In these devices, the source and detectors of the light are not located on the optic axis of the mirror, so the use of a true paraboloid of revolution would cause a distorted image.

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