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: