Abstract

The description of ideal flux concentrators as shapes that do not disturb the geometrical vector flux field is extended to all the known types of ideal flux concentrators. This is accomplished, in part, by the introduction of vector flux sinks.

© 1981 Optical Society of America

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References

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  1. R. Winston and W. T. Welford, “Geometrical vector flux and some new nonimaging concentrators,” J. Opt. Soc. Am. 69, 532–536 (1979).
    [Crossref]
  2. R. Winston and W. T. Welford, “Ideal flux concentrators as shapes that do not disturb the geometrical vector flux field: a new derivation of the compound parabolic concentrator,” J. Opt. Soc. Am. 69, 536–539 (1980).
    [Crossref]
  3. W. T. Welford and R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978).
  4. A. Rabl and R. Winston, “Ideal concentrators for finite sources and restricted exit angles,” Appl. Opt. 15, 2880–2883 (1976).
    [Crossref] [PubMed]
  5. M. Collares-Pereira, A. Rabl, and R. Winston, “Lens–mirror combinations with maximal concentration,” Appl. Opt. 16, 2677–2683 (1977).
    [Crossref] [PubMed]
  6. A. Rabl, “Solar concentrators with maximal concentration for cylindrical absorbers,” Appl. Opt. 15, 1871–1873 (1976).
    [Crossref] [PubMed]
  7. M. E. Barnett, “The geometrical vector flux field within a compound elliptical concentrator,” Optik 54, 429–432 (1980).

1980 (2)

1979 (1)

1977 (1)

1976 (2)

Barnett, M. E.

M. E. Barnett, “The geometrical vector flux field within a compound elliptical concentrator,” Optik 54, 429–432 (1980).

Collares-Pereira, M.

Rabl, A.

Welford, W. T.

Winston, R.

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Figures (6)

Fig. 1
Fig. 1

Vectors used in calculating the lines of flow of J for two semi-infinite line segments that are either (a) collinear or (b) parallel.

Fig. 2
Fig. 2

Typical lines of flow of J and the corresponding ideal concentrators for various configurations of wedgelike sources and sinks of J.

Fig. 3
Fig. 3

(a) Infinite wedge sources and (b) infinite wedge with its point replaced by a circular arc.

Fig. 4
Fig. 4

Use of flux redistributors in ideal concentrators.

Fig. 5
Fig. 5

Derivation of flux redistributors from sources of vector flux.

Fig. 6
Fig. 6

Flow-line distribution in a hollow sphere.

Equations (4)

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k ˆ 2 × J ( + ) = P ˆ 1 - k ˆ 3 .
k ˆ 2 × J ( - ) = - ( - k ˆ 3 - P ˆ 2 ) ,
k ˆ 2 × J = P ˆ 1 + P ˆ 2 .
k ˆ 2 × J = ( k ˆ 3 - P ˆ 1 ) - ( - k ˆ 3 - P ˆ 2 ) = 2 k ˆ 3 + P ˆ 2 - P ˆ 1 ,