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The Phase Fresnel Lens

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Abstract

In order to deform the wave surface passing through an optical system by the amount ϕ(u,v), it is suggested that a phase Fresnel lens be inserted in the pupil of the optical system. Assuming 0⩽ϕ(u,v)<mλ, the (u,v) that region of the pupil is divided into m zones by Fresnel’s condition

(k-1)λϕ(u,v)<kλ;kthzone,k=1,2,,m,

where λ is the wavelength. If the phase Fresnel lens be made so that it shifts the wave surface by the amount ϕ(u,v)−(k−1)λ in each kth Fresnel zone, the amount of its deformation in each zone is smaller than λ, but this phase Fresnel lens is quite ϕ(u,v) because of Fresnel’s condition. Some properties of the phase Fresnel lens are discussed. This technique is more applicable to the infrared region.

© 1961 Optical Society of America

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