Abstract

<p>In order to deform the wave surface passing through an optical system by the amount ø (<i>u</i>,<i>v</i>), it is suggested that a phase Fresnel lens be inserted in the pupil of the optical system. Assuming 0 ≤ø(<i>u</i>,<i>v</i>) <mλ, the (<i>u</i>,<i>v</i>) region of the pupil is divided into m zones by Fresnel’s condition</p><p>(<i>k</i>−1)λ≤ø(<i>u</i>,<i>v</i>)<kλ; <i>k</i>th zone, <i>k</i>=1, 2, …, <i>m</i>,</p><p>where λ is the wavelength. If the phase Fresnel lens be made so that it shifts the wave surface by the amount ø(<i>u</i>,<i>v</i>) −(<i>k</i>−1)λ in each <i>k</i>th Fresnel zone, the amount of its deformation in each zone is smaller than λ, but this phase Fresnel lens is quite equivalent to a lens which deforms the wave surface by ø(<i>u</i>,<i>v</i>) because of Fresnel’s condition. Some properties of the phase Fresnel lens are discussed. This technique is more applicable to the infrared region.</p>

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