Optical Properties of Quadrics

This page is a sub-page of our page on Geometric Optics.

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Related KMR-pages:

Conics
Optical Properties of Conics
Caustic Curves
Quadrics
Focal Surfaces
Dupin Cyclides
Confocal Quadrics
Evolutes and Involutes

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The interactive simulations on this page can be navigated with the Free Viewer
of the Graphing Calculator.

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The general situation:

A general surface, called S, has two focal sheets. Taken together, these focal sheets constitute the focal surface of the surface S.

Various degenerate situations:

Parabolic Disc Point Focus:

Parabolic Disc Point Focus – with transparency:

Double-Cylindrical Point Focus:

A description of the Double-Cylindrical Point Focus can be found at the Azimuth Project.

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Interactive simulation of Parabolic Disc – PointFocus.

Interactive simulation of Two Parabolic Cylinders – PointFocus.

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Confocal Paraboloids – plane wavefront into Dupin Cyclide reflection:

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