Abstract

The transformation of generalized radiance by space-invariant linear systems, based on Walther’s second definition is analyzed. The transfer function for a generalized radiance function is introduced. Its form in the case of quasihomogeneous sources is discussed on the basis of two important examples: free space and an isoplanatic optical system.

© 1980 Optical Society of America

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References

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  1. See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970), Chap. 4.8.
  2. A. Walther, "Radiometry and coherence," J. Opt. Soc. Am. 58, 1256–1259 (1968).
  3. A. Walther, "Radiometry and coherence," J. Opt. Soc. Am. 63, 1622–1623 (1973).
  4. A. Walther, "Propagation of the generalized radiance through lenses," J. Opt. Soc. Am. 68, 1606–1611 (1978).
  5. E. W. Marchand and E. Wolf, "Radiometry with sources of any state of coherence," J. Opt. Soc. Am. 64, 1219–1226 (1974).
  6. E. W. Marchand and E. Wolf, "Walther's definition of generalized radiance," J. Opt. Soc. Am. 64, 1273–1274 (1974).
  7. W. H. Carter and E. Wolf, "Coherence properties of Lambertian and non-Lambertian sources," J. Opt. Soc. Am. 65, 1067–1071 (1975).
  8. W. H. Carter and E. Wolf, "Coherence and radiometry with quasihomogeneous planar sources," J. Opt. Soc. Am. 67, 785–796 (1977).
  9. B. Steinle and H. P. Baltes, "Radiant intensity and spatial coherence for finite planar sources," J. Opt. Soc. Am. 67, 241–247 (1977).
  10. E. Wolf, "The radiant intensity from planar sources of any state of coherence," J. Opt. Soc. Am. 68, 1597–605 (1978).
  11. H. P. Baltes, J. Geist, and A. Walther, "Radiometry and coherence," in Topics in Current Physics, Vol. 9, edited by H. P. Baltes (Springer, Berlin, 1978).
  12. A. T. Friberg, "On the existence of a radiance function for finite planar sources of arbitrary states of coherence," J. Opt. Soc. Am. 69, 192–199 (1979).
  13. A detailed discussion of physical reality of different definitions of generalized radiance, see Ref. 12.
  14. See, for example, Ref. 1, Chap. 9.5.
  15. We use f′ here because the symbol f we reserve for the spatial frequency vector of the generalized radiance; however, both f′ and f define the spatial frequency vectors. Bearing in mind the different limitations of Fourier spectra of amplitude and generalized radiance, respectively, such a distinction seems to be justified.
  16. See Ref. 8, Appendix A.
  17. See, for example, Ref. 8.
  18. See, for example, J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 6.
  19. J. R. Shewell and E. Wolf, "Inverse diffraction and a new reciprocity theorem," J. Opt. Soc. Am. 58, 1596–1603 (1968); and E. Lalor "Inverse wave propagator," J. Math. Phys. 9, 2001–2006 (1968).
  20. See Ref. 18, Chap. 3.

1979

1978

H. P. Baltes, J. Geist, and A. Walther, "Radiometry and coherence," in Topics in Current Physics, Vol. 9, edited by H. P. Baltes (Springer, Berlin, 1978).

E. Wolf, "The radiant intensity from planar sources of any state of coherence," J. Opt. Soc. Am. 68, 1597–605 (1978).

A. Walther, "Propagation of the generalized radiance through lenses," J. Opt. Soc. Am. 68, 1606–1611 (1978).

1977

1975

1974

1973

1968

Baltes, H. P.

H. P. Baltes, J. Geist, and A. Walther, "Radiometry and coherence," in Topics in Current Physics, Vol. 9, edited by H. P. Baltes (Springer, Berlin, 1978).

B. Steinle and H. P. Baltes, "Radiant intensity and spatial coherence for finite planar sources," J. Opt. Soc. Am. 67, 241–247 (1977).

Born, M.

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970), Chap. 4.8.

Carter, W. H.

Friberg, A. T.

Geist, J.

H. P. Baltes, J. Geist, and A. Walther, "Radiometry and coherence," in Topics in Current Physics, Vol. 9, edited by H. P. Baltes (Springer, Berlin, 1978).

Goodman, J. W.

See, for example, J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 6.

Marchand, E. W.

Shewell, J. R.

Steinle, B.

Walther, A.

Wolf, E.

J. Opt. Soc. Am.

Other

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970), Chap. 4.8.

A detailed discussion of physical reality of different definitions of generalized radiance, see Ref. 12.

See, for example, Ref. 1, Chap. 9.5.

We use f′ here because the symbol f we reserve for the spatial frequency vector of the generalized radiance; however, both f′ and f define the spatial frequency vectors. Bearing in mind the different limitations of Fourier spectra of amplitude and generalized radiance, respectively, such a distinction seems to be justified.

See Ref. 8, Appendix A.

See, for example, Ref. 8.

See, for example, J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 6.

H. P. Baltes, J. Geist, and A. Walther, "Radiometry and coherence," in Topics in Current Physics, Vol. 9, edited by H. P. Baltes (Springer, Berlin, 1978).

See Ref. 18, Chap. 3.

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