Abstract

A method is described for determining the photometric field given by an extended source when the source is constrained to radiate through two spaced apertures. It is based on a generalization of the photometric inverse-square law in which flux density is considered to be the scalar product of a vector and the unit normal at a given surface element. The result includes an in-plane field that makes the solution independent of element orientation. Computer-generated field maps are used to illustrate the properties of both fields for an arbitrary system. The normal component exhibits two distinct axial inverse-square laws, and the method correctly predicts that total normal flux is conserved on the surfaces considered. Analogous procedures on the in-plane field give new results that complement those of the present scalar theory. Two-aperture effects are commonly found in optical systems. They affect photometric measurements made on or with such systems.

© 1996 Optical Society of America

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