Abstract

Coherent mode representation of the cross-spectral density is used to derive a modal analog of the constant radiance theorem with general applicability to linear optical systems. The theorem is used to consider the relationship between spatial detector geometry and multiplexing capacity.

© 2002 Optical Society of America

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References

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    [CrossRef]
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  4. D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
    [CrossRef]
  5. F. Roddier, “Interferometric imaging in optical astronomy,” Phys. Rep. 170, 97–166 (1998).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  10. D. M. Marks, R. A. Stack, and D. J. Brady, “Astigmatic coherence sensor for digital imaging,” Opt. Lett. 25, 1726–1728 (2000).
    [CrossRef]
  11. W. T. Welford and R. Winston, Optics of Nonimaging Concentrators (Academic, San Diego, Calif., 1978).
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    [CrossRef]
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    [CrossRef]
  16. W. H. Carter, “A wave theory for non-imaging concentrators,” J. Mod. Opt. 40, 1801–1805 (1993).
    [CrossRef]
  17. E. Wolf, “New theory of partial coherence in the space-frequency domain Part 1: spectral and cross spectra of steady-state source,” J. Opt. Soc. Am. 72, 343–351 (1982).
    [CrossRef]
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2000 (2)

W. G. Fateley, R. M. Hammaker, and R. A. DeVerse, “Modulations used to transmit information in spectrometry and imaging,” J. Mol. Struct. 550–551, 117–122 (2000).
[CrossRef]

D. M. Marks, R. A. Stack, and D. J. Brady, “Astigmatic coherence sensor for digital imaging,” Opt. Lett. 25, 1726–1728 (2000).
[CrossRef]

1999 (1)

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

1998 (1)

F. Roddier, “Interferometric imaging in optical astronomy,” Phys. Rep. 170, 97–166 (1998).
[CrossRef]

1996 (1)

1995 (1)

1993 (1)

W. H. Carter, “A wave theory for non-imaging concentrators,” J. Mod. Opt. 40, 1801–1805 (1993).
[CrossRef]

1986 (2)

E. Wolf, “Coherent-mode propagation in spatially band-limited wave fields,” J. Opt. Soc. Am. A 3, 1920–1924 (1986).
[CrossRef]

J. Goodman, “Fan-in and fan-out with optical interconnections,” Opt. Acta 32, 1489–1496 (1986).
[CrossRef]

1982 (1)

1980 (1)

Brady, D. J.

D. M. Marks, R. A. Stack, and D. J. Brady, “Astigmatic coherence sensor for digital imaging,” Opt. Lett. 25, 1726–1728 (2000).
[CrossRef]

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

Brady, R. B.

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

Carter, W. H.

W. H. Carter, “A wave theory for non-imaging concentrators,” J. Mod. Opt. 40, 1801–1805 (1993).
[CrossRef]

Cathey, W. T.

Chang, W.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

DeVerse, R. A.

W. G. Fateley, R. M. Hammaker, and R. A. DeVerse, “Modulations used to transmit information in spectrometry and imaging,” J. Mol. Struct. 550–551, 117–122 (2000).
[CrossRef]

Dowski, E. R.

Fateley, W. G.

W. G. Fateley, R. M. Hammaker, and R. A. DeVerse, “Modulations used to transmit information in spectrometry and imaging,” J. Mol. Struct. 550–551, 117–122 (2000).
[CrossRef]

Flotte, T.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Fujimoto, J. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Goodman, J.

J. Goodman, “Fan-in and fan-out with optical interconnections,” Opt. Acta 32, 1489–1496 (1986).
[CrossRef]

Gregory, K.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Hammaker, R. M.

W. G. Fateley, R. M. Hammaker, and R. A. DeVerse, “Modulations used to transmit information in spectrometry and imaging,” J. Mol. Struct. 550–551, 117–122 (2000).
[CrossRef]

Harwit, M.

M. Harwit and N. J. A. Sloan, Hadamard Transform Optics (Academic, New York, 1979).

Hee, M. R.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Huang, D.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Itoh, K.

K. Itoh, “Interferometric multispectral imaging,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1996), pp. 145–196.
[CrossRef]

James, J. F.

J. F. James and R. S. Sternberg, The Design of Optical Spectrometers (Chapman & Hall, London, 1969).

Lin, C. P.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum-Optics (Cambridge U. Press, Cambridge, 1995).
[CrossRef]

Marks, D. L.

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

Marks, D. M.

Munson, D. C.

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

O’Neill, E.

E. O’Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963).

Puliafito, C. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Roddier, F.

F. Roddier, “Interferometric imaging in optical astronomy,” Phys. Rep. 170, 97–166 (1998).
[CrossRef]

Rosen, J.

Schuman, J. S.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Sloan, N. J. A.

M. Harwit and N. J. A. Sloan, Hadamard Transform Optics (Academic, New York, 1979).

Stack, R. A.

D. M. Marks, R. A. Stack, and D. J. Brady, “Astigmatic coherence sensor for digital imaging,” Opt. Lett. 25, 1726–1728 (2000).
[CrossRef]

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

Sternberg, R. S.

J. F. James and R. S. Sternberg, The Design of Optical Spectrometers (Chapman & Hall, London, 1969).

Stinson, W. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Swanson, E. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

Welford, W. T.

W. T. Welford and R. Winston, Optics of Nonimaging Concentrators (Academic, San Diego, Calif., 1978).

W. T. Welford and R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989).

Winston, R.

W. T. Welford and R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989).

W. T. Welford and R. Winston, Optics of Nonimaging Concentrators (Academic, San Diego, Calif., 1978).

Wolf, E.

Wolf, W. L.

W. L. Wolf, Introduction to Radiometry, D. C. O’Shea, ed., Vol. TT29 of SPIE Tutorial Texts in Optical Engineering (SPIE Press, Bellingham, Wash., 1998), Chap. 5, Sect. 5.1.
[CrossRef]

Yablonovitch, E.

Yariv, A.

Appl. Opt. (1)

J. Mod. Opt. (1)

W. H. Carter, “A wave theory for non-imaging concentrators,” J. Mod. Opt. 40, 1801–1805 (1993).
[CrossRef]

J. Mol. Struct. (1)

W. G. Fateley, R. M. Hammaker, and R. A. DeVerse, “Modulations used to transmit information in spectrometry and imaging,” J. Mol. Struct. 550–551, 117–122 (2000).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (1)

Opt. Acta (1)

J. Goodman, “Fan-in and fan-out with optical interconnections,” Opt. Acta 32, 1489–1496 (1986).
[CrossRef]

Opt. Lett. (2)

Phys. Rep. (1)

F. Roddier, “Interferometric imaging in optical astronomy,” Phys. Rep. 170, 97–166 (1998).
[CrossRef]

Science (1)

D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, “Visible cone-beam tomography with a lensless interferometric camera,” Science 284, 2164–2166 (1999).
[CrossRef] [PubMed]

Other (9)

W. T. Welford and R. Winston, Optics of Nonimaging Concentrators (Academic, San Diego, Calif., 1978).

W. T. Welford and R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989).

K. Itoh, “Interferometric multispectral imaging,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1996), pp. 145–196.
[CrossRef]

M. Harwit and N. J. A. Sloan, Hadamard Transform Optics (Academic, New York, 1979).

J. F. James and R. S. Sternberg, The Design of Optical Spectrometers (Chapman & Hall, London, 1969).

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991).
[CrossRef]

W. L. Wolf, Introduction to Radiometry, D. C. O’Shea, ed., Vol. TT29 of SPIE Tutorial Texts in Optical Engineering (SPIE Press, Bellingham, Wash., 1998), Chap. 5, Sect. 5.1.
[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum-Optics (Cambridge U. Press, Cambridge, 1995).
[CrossRef]

E. O’Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963).

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Wr1,r2,ν=nλnνψn*r1,νψnr2,ν,
Wr1,r2,ν=nΛnνΦn*r1,νΦnr2,ν,
Wr1,r2,νΦmr1,νΦm*r2,νd2r1dr2=Λmν.
Λmν=ncnm2λn.
H=-nλ˜m log λ˜m.
mi=dνAiSrs,νκνd2rs=jβijνλjνdν,
jβijνκνNAAs,

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