Abstract

The transfer function of an annular aperture in the presence of spherical aberration and defocusing is evaluated. The technique employed is the sampling method developed in a previous paper. The Maréchal aberration-balancing theory is extended to annular apertures. Representative numerical results are discussed.

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  1. W. H. Steel, Rev. Opt. 32, 4 (1953).
  2. E. L. O'Neill, J. Opt. Soc. Am. 46, 285 (1956).
  3. R. Barakat, J. Opt. Soc. Am. 54, 920 (1964).
  4. Z. Kopal, Numerical Analysis (John Wiley & Sons, Inc., New York, 1955).
  5. C. G. Steward, The Symmetrical Optical System (Cambridge University Press, Cambridge, England, 1928).
  6. T. Asakura and R. Barakat, Oyo Butsuri 30, 728 (1961).
  7. Lord Rayleigh, Collected Papers (Cambridge University Press, Cambridge, England, 1902), Vol. 3, Article 148.
  8. R. Barakat and A. Houston, J. Opt. Soc. Am. 53, 1244 (1963).
  9. A. Maréchal, Rev. Opt. 26, 257 (1947).

Asakura, T.

T. Asakura and R. Barakat, Oyo Butsuri 30, 728 (1961).

Barakat, R.

T. Asakura and R. Barakat, Oyo Butsuri 30, 728 (1961).

R. Barakat and A. Houston, J. Opt. Soc. Am. 53, 1244 (1963).

R. Barakat, J. Opt. Soc. Am. 54, 920 (1964).

Houston, A.

R. Barakat and A. Houston, J. Opt. Soc. Am. 53, 1244 (1963).

Kopal, Z.

Z. Kopal, Numerical Analysis (John Wiley & Sons, Inc., New York, 1955).

Maréchal, A.

A. Maréchal, Rev. Opt. 26, 257 (1947).

O’Neill, E. L.

E. L. O'Neill, J. Opt. Soc. Am. 46, 285 (1956).

Rayleigh, Lord

Lord Rayleigh, Collected Papers (Cambridge University Press, Cambridge, England, 1902), Vol. 3, Article 148.

Steel, W. H.

W. H. Steel, Rev. Opt. 32, 4 (1953).

Steward, C. G.

C. G. Steward, The Symmetrical Optical System (Cambridge University Press, Cambridge, England, 1928).

Other (9)

W. H. Steel, Rev. Opt. 32, 4 (1953).

E. L. O'Neill, J. Opt. Soc. Am. 46, 285 (1956).

R. Barakat, J. Opt. Soc. Am. 54, 920 (1964).

Z. Kopal, Numerical Analysis (John Wiley & Sons, Inc., New York, 1955).

C. G. Steward, The Symmetrical Optical System (Cambridge University Press, Cambridge, England, 1928).

T. Asakura and R. Barakat, Oyo Butsuri 30, 728 (1961).

Lord Rayleigh, Collected Papers (Cambridge University Press, Cambridge, England, 1902), Vol. 3, Article 148.

R. Barakat and A. Houston, J. Opt. Soc. Am. 53, 1244 (1963).

A. Maréchal, Rev. Opt. 26, 257 (1947).

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