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College of Liberal Arts and Sciences | Mathematics

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November 7, 2018 | 1:00 p.m. - 2:00 p.m.
Category: Lecture
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Ahmad Sabra, American University at Beirut, Lebanon

Title: Eliminating chromatic aberration of a bichromatic source light, and design of demultiplexer lenses

Abstract: When white light passes through a prism, colors are dispersed since each radiation has a different speed in the material of the prism resulting in a different angle of refraction. Trying to focus all these radiations back into one direction or into a point is challenging and all existing physical models use approximations. This limitation is called chromatic aberration.
In this talk we show existence of a lens (combination of two smooth surfaces) that refracts perfectly bichromatic rays emitted from a point source into a xed direction eliminating the chromatic aberration caused by the rays traversing the lens. We formulate the problem into a system of functional differential equations and prove using a xed point type argument the existence of the solution.
Another challenge is to control each radiation separately after traversing the lens. Demultiplexer lenses have a goal to focus each color into a different target. We discuss under the same setup necessary and sufficient conditions for the existence of such demultiplexer.

For more information about this event, please contact Department of Mathematics at 3135772479 or