1969•Journal of the Optical Society of AmericaRequires access

Lenses, Wave Optics, and Eikonal Functions*

A. Walther

Open publisher page 30 citations

Abstract

An approximate solution to the problem of a light wave propagating through a lens is obtained by systematically replacing the integrals required to solve the problem by their stationary-phase approximation. This approach is shown to yield (1) geometrical optics in its eikonal form, and (2) a diffraction theory of image formation applicable to lenses with large apertures and fields.

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An approximate solution to the problem of a light wave propagating through a lens is obtained by systematically replacing the integrals required to solve the problem by their stationary-phase approximation. This approach is shown to yield (1) geometrical optics in its eikonal form, and (2) a diffraction theory of image formation applicable to lenses with large apertures and fields.

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Available abstract

An approximate solution to the problem of a light wave propagating through a lens is obtained by systematically replacing the integrals required to solve the problem by their stationary-phase approximation. This approach is shown to yield (1) geometrical optics in its eikonal form, and (2) a diffraction theory of image formation applicable to lenses with large apertures and fields.

Key concepts: Eikonal equation, Eikonal approximation, Geometrical optics, Optics, High frequency approximation, Physics, Physical optics, Diffraction

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