Line integrals and physical optics. Part I. The transformation of the solid-angle surface integral to a line integral

Abstract

The surface integral that measures the solid angle subtended by a planar aperture at a point in space is transformed to a line integral over the boundary of the aperture. The problem is divided into three distinct cases, and in each case a transformation is established. The results have a direct application to the problem of converting the Kirchhoff integral of diffraction by an aperture on a plane screen to a line integral over the rim of the aperture.

© 1985 Optical Society of America

Line integrals and physical optics. Part II. The conversion of the Kirchhoff surface integral to a line integral

John S. Asvestas
J. Opt. Soc. Am. A 2(6) 896-902 (1985)

Transmission properties of a multimode optical-fiber taper

Yi-Fan Li and John W. Y. Lit
J. Opt. Soc. Am. A 2(3) 462-468 (1985)

Geometrical-optics approximation for the electromagnetic fields in layered-inhomogeneous liquid-crystalline structures

Hiap Liew Ong and Robert B. Meyer
J. Opt. Soc. Am. A 2(2) 198-201 (1985)

Reducing canonical diffraction problems to singularity-free one-dimensional integrals

G. W. Forbes and A. A. Asatryan
J. Opt. Soc. Am. A 15(5) 1320-1328 (1998)

Image formation by a general optical system. 2: Computing methods

Harold H. Hopkins
Appl. Opt. 24(16) 2506-2519 (1985)