Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Application of the Sampling Theorem to Optical Diffraction Theory

Not Accessible

Your library or personal account may give you access

Abstract

The sampling theorem is applied to optical diffraction theory as a computational tool. Formulas are developed in terms of sampled values of the point spread function for the transfer function, total illuminance, line spread function and cumulative line spread function. Typical numerical examples are presented. The theory is presented for general point spread functions for slit and square apertures, but only for rotationally symmetric point spread functions for circular apertures. In the case of the slit aperture, the following question is answered: Given the real part of the incoherent transfer function, determine its imaginary part and vice versa. The theory of conjugate Fourier series and finite Hilbert transforms is introduced in order to answer this question.

© 1964 Optical Society of America

Full Article  |  PDF Article
More Like This
Line Spread Function and Cumulative Line Spread Function for Systems with Rotational Symmetry

Richard Barakat and Agnes Houston
J. Opt. Soc. Am. 54(6) 768-773 (1964)

Measurement of the Total Illuminance in a Diffraction Image. Part II. Line Sources

Richard Barakat, Alfred Newman, and Ronald Humphreys
J. Opt. Soc. Am. 54(10) 1256-1260 (1964)

Comparison of the Kirchhoff and the Rayleigh–Sommerfeld Theories of Diffraction at an Aperture

E. Wolf and E. W. Marchand
J. Opt. Soc. Am. 54(5) 587-594 (1964)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (8)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (122)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved