Abstract

The lines of flow of the geometrical vector flux form surfaces along which mirrors can be placed without distributing the flux field. This result is used to give new insights into the design of nonimaging concentrators.

© 1979 Optical Society of America

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References

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  1. R. Winston and W. T. Welford, J. Opt. Soc. Am. 69, 532–536 (1979) (this issue).
    [CrossRef]
  2. R. Winston, J. Opt. Soc. Am. 60, 245–247 (1970).
    [CrossRef]
  3. W. T. Welford and R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978).
  4. A. Rabl and R. Winston, Appl. Opt. 15, 2880–2883 (1976).
    [CrossRef] [PubMed]

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1976 (1)

1970 (1)

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Figures (7)

FIG. 1
FIG. 1

The vector flux J from a two-dimensional Lambertian source; |J| is 2 sin θ and the direction of J bisects the angle.

FIG. 2
FIG. 2

A truncated wedge of angle 2θo. The truncation QQ′ is shown as forming equal angles with the two sides of the wedge, but in fact the argument is still valid if this is not so.

FIG. 3
FIG. 3

Lines of flow of J and labeled loci of constant |J| for the truncated wedge; only the loci below the line of symmetry are shown. The wedge angle is 60°.

FIG. 4
FIG. 4

The zones for constructing a θio concentrator; QQ′ is a Lambertian emitter over an angle θo.

FIG. 5
FIG. 5

The lines of flow and loci of constant |J| for the truncated wedge of Fig. 4.

FIG. 6
FIG. 6

The solid angle subtended by an infinite truncated cone.

FIG. 7
FIG. 7

The light cone as a surface lying in the lines of flow from a sphere.

Equations (2)

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( J x , J y , J z ) = ( d p y d p z , d p z d p x , d p x d p y , ) ,
| J | = 2 sin θ ,