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Absence of Fresnel’s “Most Useful Effect” in the Hyperbolic Reflector

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Abstract

In Fresnel’s analysis of the parabolic reflector, considering finite size of source he defined a quantity he called the useful effect. The present paper applies Fresnel’s test to the hyperbolic reflector. It is shown mathematically that for the hyperbola the useful effect reaches no maximum except for degenerate cases.

© 1937 Optical Society of America

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