Abstract

An inhomogeneous medium has a cylindrical index distribution if the refractive index depends only on the distance from some fixed line, the axis of the distribution. Formulas are given whereby the third-order aberration coefficients of a symmetric optical system may be computed exactly when the optical media have such cylindrical index distributions. The formulas are valid for both diverging and converging media. A comprehensive numerical illustration of the use of the various formulas is included.

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  1. R. W. Wood, Physical Optics (Macmillan, New York, 1905), pp. 71โ€“77.
  2. Reference 1, p. 72.
  3. A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 2, 76 (1969).
  4. The first electron optical system was built by H. Busch [H. Busch, Arch. Elektrotechn. 18, 583 (1927)].
  5. E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 3, 753 (1970).
  6. D. T. Moore, thesis, Institute of Optics, University of Rochester, 1970.
  7. D. T. Moore, J. Opt. Soc. Am. 60, 1557A (1970); 61, 886 (1971).
  8. P. J. Sands, J. Opt. Soc. Am. 60, 1436 (1970).
  9. P. J. Sands, J. Opt. Soc Am. 61, 777 (1971).
  10. P. J. Sands, J. Opt. Soc. Am. 61, 879 (1971).
  11. P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1971).
  12. This equation follows directly from Eq. (209.4) of Optical Aberration Coefficients, by H. A. Buchdahl (Dover, New York, 1969). See also Sec. II of Ref. 10.
  13. L. Montagnino, J. Opt. Soc. Am. 58, 1667 (1968).
  14. E. W. Marchand, J. Opt. Soc. Am. 60, 1 (1970).

Buchdahl, H. A.

This equation follows directly from Eq. (209.4) of Optical Aberration Coefficients, by H. A. Buchdahl (Dover, New York, 1969). See also Sec. II of Ref. 10.

Busch, H.

The first electron optical system was built by H. Busch [H. Busch, Arch. Elektrotechn. 18, 583 (1927)].

French, W. G.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 2, 76 (1969).

Herriott, D. R.

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 3, 753 (1970).

Marchand, E. W.

E. W. Marchand, J. Opt. Soc. Am. 60, 1 (1970).

McKenna, J.

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 3, 753 (1970).

Montagnino, L.

L. Montagnino, J. Opt. Soc. Am. 58, 1667 (1968).

Moore, D. T.

D. T. Moore, thesis, Institute of Optics, University of Rochester, 1970.

D. T. Moore, J. Opt. Soc. Am. 60, 1557A (1970); 61, 886 (1971).

Pearson, A. D.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 2, 76 (1969).

Rawson, E. G.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 2, 76 (1969).

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 3, 753 (1970).

Sands, P. J.

P. J. Sands, J. Opt. Soc. Am. 60, 1436 (1970).

P. J. Sands, J. Opt. Soc Am. 61, 777 (1971).

P. J. Sands, J. Opt. Soc. Am. 61, 879 (1971).

P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1971).

Wood, R. W.

R. W. Wood, Physical Optics (Macmillan, New York, 1905), pp. 71โ€“77.

Other

R. W. Wood, Physical Optics (Macmillan, New York, 1905), pp. 71โ€“77.

Reference 1, p. 72.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 2, 76 (1969).

The first electron optical system was built by H. Busch [H. Busch, Arch. Elektrotechn. 18, 583 (1927)].

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 3, 753 (1970).

D. T. Moore, thesis, Institute of Optics, University of Rochester, 1970.

D. T. Moore, J. Opt. Soc. Am. 60, 1557A (1970); 61, 886 (1971).

P. J. Sands, J. Opt. Soc. Am. 60, 1436 (1970).

P. J. Sands, J. Opt. Soc Am. 61, 777 (1971).

P. J. Sands, J. Opt. Soc. Am. 61, 879 (1971).

P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1971).

This equation follows directly from Eq. (209.4) of Optical Aberration Coefficients, by H. A. Buchdahl (Dover, New York, 1969). See also Sec. II of Ref. 10.

L. Montagnino, J. Opt. Soc. Am. 58, 1667 (1968).

E. W. Marchand, J. Opt. Soc. Am. 60, 1 (1970).

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