Abstract

In the present paper we have given the theory of the fifth-order aberrations of rotationally symmetric optical systems. Explicit formulas have been derived for the aberrations of an inhomogeneous medium. We have used these formulas to make an explicit evaluation of the variation of aberrations of meridional and skew rays with the angle of injection of the ray with the z axis. The results have been compared with those obtained by numerically solving the ray equation. We have also shown that for the values of parameters found in experimentally prepared graded-index media the fifth-order contribution is significant and must be taken into consideration while calculating the image patterns formed by these media.

© 1976 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).
  2. A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).
  3. E. W. Marchand, in Progress in Optics, edited by E. Wolf, (North Holland, Amsterdam, 1973), Vol. XI, p. 307.
  4. P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1970).
  5. D. T. Moore, J. Opt. Soc. Am. 61, 1195 (1971).
  6. E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).
  7. K. Thyagarajan and A. K. Ghatak, Optik 44, 329 (1976).
  8. W. Streifer and K. B. Paxton, Appl. Opt. 10, 769 (1971).
  9. K. B. Paxton and W. Streifer, Appl. Opt. 10, 1164 (1971).
  10. K. B. Paxton and W. Streifer, Appl. Opt. 10, 2090, (1971).
  11. D. T. Moore, J. Opt. Soc. Am. 61, 886 (1971).
  12. E. W. Marchand and D. J. Janeczko, J. Opt. Soc. Am. 64, 846 (1974).
  13. H. A. Buchdahl, Optical Aberration Coefficients (Dover, New York, 1968).
  14. R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1964).
  15. H. A. Buchdahl, Introduction to Hamiltonian Optics (Cambridge U. P., Cambridge, England, 1970).
  16. E. G. Rawson and R. G. Murray, IEEE J. Quantum Electron. QE-9, 1114 (1973).

1976 (1)

K. Thyagarajan and A. K. Ghatak, Optik 44, 329 (1976).

1974 (1)

E. W. Marchand and D. J. Janeczko, J. Opt. Soc. Am. 64, 846 (1974).

1973 (1)

E. G. Rawson and R. G. Murray, IEEE J. Quantum Electron. QE-9, 1114 (1973).

1971 (5)

W. Streifer and K. B. Paxton, Appl. Opt. 10, 769 (1971).

K. B. Paxton and W. Streifer, Appl. Opt. 10, 1164 (1971).

K. B. Paxton and W. Streifer, Appl. Opt. 10, 2090, (1971).

D. T. Moore, J. Opt. Soc. Am. 61, 886 (1971).

D. T. Moore, J. Opt. Soc. Am. 61, 1195 (1971).

1970 (3)

E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1970).

1969 (1)

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).

Buchdahl, H. A.

H. A. Buchdahl, Optical Aberration Coefficients (Dover, New York, 1968).

H. A. Buchdahl, Introduction to Hamiltonian Optics (Cambridge U. P., Cambridge, England, 1970).

French, W. G.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).

Furukawa, M.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

Ghatak, A. K.

K. Thyagarajan and A. K. Ghatak, Optik 44, 329 (1976).

Herriott, D. R.

E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).

Janeczko, D. J.

E. W. Marchand and D. J. Janeczko, J. Opt. Soc. Am. 64, 846 (1974).

Kitano, I.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

Koizumi, K.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

Luneburg, R. K.

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

Marchand, E. W.

E. W. Marchand and D. J. Janeczko, J. Opt. Soc. Am. 64, 846 (1974).

E. W. Marchand, in Progress in Optics, edited by E. Wolf, (North Holland, Amsterdam, 1973), Vol. XI, p. 307.

Matsumura, H.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

Mckenna, J.

E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).

Moore, D. T.

D. T. Moore, J. Opt. Soc. Am. 61, 1195 (1971).

D. T. Moore, J. Opt. Soc. Am. 61, 886 (1971).

Murray, R. G.

E. G. Rawson and R. G. Murray, IEEE J. Quantum Electron. QE-9, 1114 (1973).

Paxton, K. B.

K. B. Paxton and W. Streifer, Appl. Opt. 10, 2090, (1971).

W. Streifer and K. B. Paxton, Appl. Opt. 10, 769 (1971).

K. B. Paxton and W. Streifer, Appl. Opt. 10, 1164 (1971).

Pearson, A. D.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).

Rawson, E. G.

E. G. Rawson and R. G. Murray, IEEE J. Quantum Electron. QE-9, 1114 (1973).

E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).

Sands, P. J.

P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1970).

Streifer, W.

K. B. Paxton and W. Streifer, Appl. Opt. 10, 1164 (1971).

W. Streifer and K. B. Paxton, Appl. Opt. 10, 769 (1971).

K. B. Paxton and W. Streifer, Appl. Opt. 10, 2090, (1971).

Thyagarajan, K.

K. Thyagarajan and A. K. Ghatak, Optik 44, 329 (1976).

Uchida, T.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

Other (16)

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).

E. W. Marchand, in Progress in Optics, edited by E. Wolf, (North Holland, Amsterdam, 1973), Vol. XI, p. 307.

P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1970).

D. T. Moore, J. Opt. Soc. Am. 61, 1195 (1971).

E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).

K. Thyagarajan and A. K. Ghatak, Optik 44, 329 (1976).

W. Streifer and K. B. Paxton, Appl. Opt. 10, 769 (1971).

K. B. Paxton and W. Streifer, Appl. Opt. 10, 1164 (1971).

K. B. Paxton and W. Streifer, Appl. Opt. 10, 2090, (1971).

D. T. Moore, J. Opt. Soc. Am. 61, 886 (1971).

E. W. Marchand and D. J. Janeczko, J. Opt. Soc. Am. 64, 846 (1974).

H. A. Buchdahl, Optical Aberration Coefficients (Dover, New York, 1968).

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

H. A. Buchdahl, Introduction to Hamiltonian Optics (Cambridge U. P., Cambridge, England, 1970).

E. G. Rawson and R. G. Murray, IEEE J. Quantum Electron. QE-9, 1114 (1973).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.