Abstract

A study is made of the effect of diffraction on imaging a square-wave object (in intensity) in incoherent light for slit and circular apertures suffering from spherical aberration. A modification of the usual Fourier series representation of the square wave is required to eliminate the unwanted Gibbs phenomena. The modulation of the image of the square wave is calculated by using transfer-function theory. Numerous examples are presented.

PDF Article

References

  • View by:
  • |
  • |

  1. L. Foucault, Ann. l'Observ. Imp. Paris 5, 197 (1858).
  2. Lord Rayleigh (J. W. Strutt), Phil. Mag. 42, 167 (1896).
  3. M. Françon, article in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1956), Vol. XXIV, pp. 171, 342; A. Marechal and M. Françon, Diffraction-Structure des images (Editions de la Revue d'Optique, Paris, 1960), pp. 38, 50, 169.
  4. R. Barakat and M. V. Morello, J. Opt. Soc. Am. 52, 992 (1962).
  5. H. S. Carslaw, Introduction to the Theory of Fourier's Series and Integrals (Dover Publications, Inc., New York, 1956), 3rd ed.
  6. E. A. Guillemin, Mathematics of Circuit Analysis (John Wiley & Sons, Inc., New York, 1951).
  7. C. Lanczos, Linear Differential Operators (D. van Nostrand Inc., Princeton, New Jersey, 1962).
  8. C. Lanczos, Applied Analysis (Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1956).

Barakat, R.

R. Barakat and M. V. Morello, J. Opt. Soc. Am. 52, 992 (1962).

Carslaw, H. S.

H. S. Carslaw, Introduction to the Theory of Fourier's Series and Integrals (Dover Publications, Inc., New York, 1956), 3rd ed.

Foucault, L.

L. Foucault, Ann. l'Observ. Imp. Paris 5, 197 (1858).

Françon, M.

M. Françon, article in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1956), Vol. XXIV, pp. 171, 342; A. Marechal and M. Françon, Diffraction-Structure des images (Editions de la Revue d'Optique, Paris, 1960), pp. 38, 50, 169.

Guillemin, E. A.

E. A. Guillemin, Mathematics of Circuit Analysis (John Wiley & Sons, Inc., New York, 1951).

Lanczos, C.

C. Lanczos, Linear Differential Operators (D. van Nostrand Inc., Princeton, New Jersey, 1962).

C. Lanczos, Applied Analysis (Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1956).

Morello, M. V.

R. Barakat and M. V. Morello, J. Opt. Soc. Am. 52, 992 (1962).

Rayleigh, Lord

Lord Rayleigh (J. W. Strutt), Phil. Mag. 42, 167 (1896).

Other (8)

L. Foucault, Ann. l'Observ. Imp. Paris 5, 197 (1858).

Lord Rayleigh (J. W. Strutt), Phil. Mag. 42, 167 (1896).

M. Françon, article in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1956), Vol. XXIV, pp. 171, 342; A. Marechal and M. Françon, Diffraction-Structure des images (Editions de la Revue d'Optique, Paris, 1960), pp. 38, 50, 169.

R. Barakat and M. V. Morello, J. Opt. Soc. Am. 52, 992 (1962).

H. S. Carslaw, Introduction to the Theory of Fourier's Series and Integrals (Dover Publications, Inc., New York, 1956), 3rd ed.

E. A. Guillemin, Mathematics of Circuit Analysis (John Wiley & Sons, Inc., New York, 1951).

C. Lanczos, Linear Differential Operators (D. van Nostrand Inc., Princeton, New Jersey, 1962).

C. Lanczos, Applied Analysis (Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1956).

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.