Abstract

We prove that in a large and significant class of cases the generalized radiance is, except for transmission losses, invariant along light rays traversing a lens.

© 1978 Optical Society of America

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  1. A. Walther, J. Opt. Soc. Am. 58, 1256–1259 (1968).
  2. E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 62, 379–385 (1972).
  3. E. W. Marchand and E. Wolf, Opt. Commun. 6, 305–308 (1972).
  4. A. Walther, J. Opt. Soc. Am. 63, 1622–1623 (1973).
  5. E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1219–1226 (1974).
  6. E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1273–1274 (1974).
  7. A. Walther, J. Opt. Soc. Am. 64, 1275 (1974).
  8. E. Wolf and W. H. Carter, Opt. Commun. 13, 205–209 (1975).
  9. W. H. Carter and E. Wolf, J. Opt. Soc. Am. 65, 1067–1071 (1975).
  10. W. H. Carter and E. Wolf, J. Opt. Soc. Am. 66, 785–796 (1977).
  11. E. Wolf, Phys. Rev. D 13, 869–886 (1976).
  12. E. Wolf and W. H. Carter, Opt. Commun. 16, 297–302 (1976).
  13. H. A. Ferwerda, Optik (Stuttg.) 45, 411–426 (1976).
  14. G. Antes, H. P. Baltes, and B. Steinle, Helv. Phys. Acta 49, 751–761 (1976).
  15. B. Steinle and H. P. Baltes, Helv. Phys. Acta 49, 793–795 (1976).
  16. H. P. Baltes, B. Steinle, and G. Antes, Opt. Commun. 18, 242–246 (1976).
  17. B. Steinle and H. P. Baltes, J. Opt. Soc. Am. 67, 241–247 (1977).
  18. H. P. Baltes and B. Steinle, Nuovo Cimento 18, 313–318 (1977).
  19. H. P. Baltes and B. Steinle, Nuovo Cimento B 41, 428–440 (1977).
  20. H. A. Ferwerda and M. G. van Heel, Optik (Stuttg.) 47, 357–362 (1977).
  21. P. W. Hawkes, Optik (Stuttg.) 49, 149–161 (1977).
  22. p. W. Hawkes, Optik (Stuttg.) 47, 453–468 (1977).
  23. E. Collett and E. Wolf, Opt. Lett. 2, 27–29 (1978).
  24. See, e.g., M. Born and E. Wolf, Principles of Optics, Sec. 4.8.3 (Pergamon, New York, 1964). A general proof may be found in: Advanced Optical Techniques, edited by A. C. S. van Heel, Sec. No. 3.3 (North Holland, Amsterdam, 1967).
  25. For a discussion of the concept of generalized radiance, see Ref. 4, or Chap. 5 in: Inverse Source Problems in Optics, edited by H. P. Baltes, (Springer, New York, in Press). See also Refs.6,7,11, and 33.
  26. A. Walther, J. Opt. Soc. Am. 59, 1325–1333 (1969).
  27. L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529–535 (1976).
  28. A convenient summary of this topic may be found in Chap. 3 of: E. L. O’Neill, Statistical Optics (Addision Wesley, Reading, Mass., 1963).
  29. M. Herzberger, Strahlenoptik. (Springer, Berlin, 1931).
  30. R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1964).
  31. H. A. Buchdahl, An Introduction to Hamiltonian Optics (Cambridge University, Cambridge, 1970).
  32. M. Born and E. Wolf, Principles of Optics, Appendix III (Pergamon, New York, 1964).
  33. E. Wolf, J.Opt. Soc. Am. 68, 6–17 (1978).

Antes, G.

G. Antes, H. P. Baltes, and B. Steinle, Helv. Phys. Acta 49, 751–761 (1976).

H. P. Baltes, B. Steinle, and G. Antes, Opt. Commun. 18, 242–246 (1976).

Baltes, H. P.

B. Steinle and H. P. Baltes, Helv. Phys. Acta 49, 793–795 (1976).

H. P. Baltes, B. Steinle, and G. Antes, Opt. Commun. 18, 242–246 (1976).

B. Steinle and H. P. Baltes, J. Opt. Soc. Am. 67, 241–247 (1977).

H. P. Baltes and B. Steinle, Nuovo Cimento 18, 313–318 (1977).

H. P. Baltes and B. Steinle, Nuovo Cimento B 41, 428–440 (1977).

G. Antes, H. P. Baltes, and B. Steinle, Helv. Phys. Acta 49, 751–761 (1976).

Born, M.

See, e.g., M. Born and E. Wolf, Principles of Optics, Sec. 4.8.3 (Pergamon, New York, 1964). A general proof may be found in: Advanced Optical Techniques, edited by A. C. S. van Heel, Sec. No. 3.3 (North Holland, Amsterdam, 1967).

M. Born and E. Wolf, Principles of Optics, Appendix III (Pergamon, New York, 1964).

Buchdahl, H. A.

H. A. Buchdahl, An Introduction to Hamiltonian Optics (Cambridge University, Cambridge, 1970).

Carter, W. H.

E. Wolf and W. H. Carter, Opt. Commun. 13, 205–209 (1975).

W. H. Carter and E. Wolf, J. Opt. Soc. Am. 65, 1067–1071 (1975).

E. Wolf and W. H. Carter, Opt. Commun. 16, 297–302 (1976).

W. H. Carter and E. Wolf, J. Opt. Soc. Am. 66, 785–796 (1977).

Collett, E.

E. Collett and E. Wolf, Opt. Lett. 2, 27–29 (1978).

Ferwerda, H. A.

H. A. Ferwerda and M. G. van Heel, Optik (Stuttg.) 47, 357–362 (1977).

H. A. Ferwerda, Optik (Stuttg.) 45, 411–426 (1976).

Hawkes, P. W.

P. W. Hawkes, Optik (Stuttg.) 49, 149–161 (1977).

p. W. Hawkes, Optik (Stuttg.) 47, 453–468 (1977).

Herzberger, M.

M. Herzberger, Strahlenoptik. (Springer, Berlin, 1931).

Luneburg, R. K.

R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1964).

Mandel, L.

L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529–535 (1976).

Marchand, E. W.

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1273–1274 (1974).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 62, 379–385 (1972).

E. W. Marchand and E. Wolf, Opt. Commun. 6, 305–308 (1972).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1219–1226 (1974).

O’Neill, E. L.

A convenient summary of this topic may be found in Chap. 3 of: E. L. O’Neill, Statistical Optics (Addision Wesley, Reading, Mass., 1963).

Steinle, B.

G. Antes, H. P. Baltes, and B. Steinle, Helv. Phys. Acta 49, 751–761 (1976).

B. Steinle and H. P. Baltes, Helv. Phys. Acta 49, 793–795 (1976).

H. P. Baltes and B. Steinle, Nuovo Cimento B 41, 428–440 (1977).

H. P. Baltes and B. Steinle, Nuovo Cimento 18, 313–318 (1977).

H. P. Baltes, B. Steinle, and G. Antes, Opt. Commun. 18, 242–246 (1976).

B. Steinle and H. P. Baltes, J. Opt. Soc. Am. 67, 241–247 (1977).

van Heel, M. G.

H. A. Ferwerda and M. G. van Heel, Optik (Stuttg.) 47, 357–362 (1977).

Walther, A.

A. Walther, J. Opt. Soc. Am. 59, 1325–1333 (1969).

A. Walther, J. Opt. Soc. Am. 58, 1256–1259 (1968).

A. Walther, J. Opt. Soc. Am. 63, 1622–1623 (1973).

A. Walther, J. Opt. Soc. Am. 64, 1275 (1974).

Wolf, E.

E. Wolf and W. H. Carter, Opt. Commun. 13, 205–209 (1975).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1273–1274 (1974).

W. H. Carter and E. Wolf, J. Opt. Soc. Am. 66, 785–796 (1977).

E. Wolf, Phys. Rev. D 13, 869–886 (1976).

E. Wolf and W. H. Carter, Opt. Commun. 16, 297–302 (1976).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1219–1226 (1974).

E. W. Marchand and E. Wolf, Opt. Commun. 6, 305–308 (1972).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 62, 379–385 (1972).

W. H. Carter and E. Wolf, J. Opt. Soc. Am. 65, 1067–1071 (1975).

L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529–535 (1976).

M. Born and E. Wolf, Principles of Optics, Appendix III (Pergamon, New York, 1964).

E. Wolf, J.Opt. Soc. Am. 68, 6–17 (1978).

E. Collett and E. Wolf, Opt. Lett. 2, 27–29 (1978).

See, e.g., M. Born and E. Wolf, Principles of Optics, Sec. 4.8.3 (Pergamon, New York, 1964). A general proof may be found in: Advanced Optical Techniques, edited by A. C. S. van Heel, Sec. No. 3.3 (North Holland, Amsterdam, 1967).

Other (33)

A. Walther, J. Opt. Soc. Am. 58, 1256–1259 (1968).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 62, 379–385 (1972).

E. W. Marchand and E. Wolf, Opt. Commun. 6, 305–308 (1972).

A. Walther, J. Opt. Soc. Am. 63, 1622–1623 (1973).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1219–1226 (1974).

E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1273–1274 (1974).

A. Walther, J. Opt. Soc. Am. 64, 1275 (1974).

E. Wolf and W. H. Carter, Opt. Commun. 13, 205–209 (1975).

W. H. Carter and E. Wolf, J. Opt. Soc. Am. 65, 1067–1071 (1975).

W. H. Carter and E. Wolf, J. Opt. Soc. Am. 66, 785–796 (1977).

E. Wolf, Phys. Rev. D 13, 869–886 (1976).

E. Wolf and W. H. Carter, Opt. Commun. 16, 297–302 (1976).

H. A. Ferwerda, Optik (Stuttg.) 45, 411–426 (1976).

G. Antes, H. P. Baltes, and B. Steinle, Helv. Phys. Acta 49, 751–761 (1976).

B. Steinle and H. P. Baltes, Helv. Phys. Acta 49, 793–795 (1976).

H. P. Baltes, B. Steinle, and G. Antes, Opt. Commun. 18, 242–246 (1976).

B. Steinle and H. P. Baltes, J. Opt. Soc. Am. 67, 241–247 (1977).

H. P. Baltes and B. Steinle, Nuovo Cimento 18, 313–318 (1977).

H. P. Baltes and B. Steinle, Nuovo Cimento B 41, 428–440 (1977).

H. A. Ferwerda and M. G. van Heel, Optik (Stuttg.) 47, 357–362 (1977).

P. W. Hawkes, Optik (Stuttg.) 49, 149–161 (1977).

p. W. Hawkes, Optik (Stuttg.) 47, 453–468 (1977).

E. Collett and E. Wolf, Opt. Lett. 2, 27–29 (1978).

See, e.g., M. Born and E. Wolf, Principles of Optics, Sec. 4.8.3 (Pergamon, New York, 1964). A general proof may be found in: Advanced Optical Techniques, edited by A. C. S. van Heel, Sec. No. 3.3 (North Holland, Amsterdam, 1967).

For a discussion of the concept of generalized radiance, see Ref. 4, or Chap. 5 in: Inverse Source Problems in Optics, edited by H. P. Baltes, (Springer, New York, in Press). See also Refs.6,7,11, and 33.

A. Walther, J. Opt. Soc. Am. 59, 1325–1333 (1969).

L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529–535 (1976).

A convenient summary of this topic may be found in Chap. 3 of: E. L. O’Neill, Statistical Optics (Addision Wesley, Reading, Mass., 1963).

M. Herzberger, Strahlenoptik. (Springer, Berlin, 1931).

R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1964).

H. A. Buchdahl, An Introduction to Hamiltonian Optics (Cambridge University, Cambridge, 1970).

M. Born and E. Wolf, Principles of Optics, Appendix III (Pergamon, New York, 1964).

E. Wolf, J.Opt. Soc. Am. 68, 6–17 (1978).

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