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

Reduced-complexity representation of the coherent point-spread function in the presence of aberrations and arbitrarily large defocus

Not Accessible

Your library or personal account may give you access

Abstract

We introduce a method to analyze the diffraction integral for evaluating the point-spread function. Our method is based on the use of higher-order Airy functions along with Zernike and Taylor expansions. Our approach is applicable when we are considering a finite, arbitrary number of aberrations and arbitrarily large defocus simultaneously. We present an upper bound for the complexity and the convergence rate of this method. We also compare the cost and accuracy of this method with those of traditional ones and show the efficiency of our method through these comparisons. In particular, we rigorously show that this method is constructed in a way that the complexity of the analysis (i.e., the number of terms needed for expressing the light disturbance) does not increase as either defocus or resolution of interest increases. This has applications in several fields such as biological microscopy, lithography, and multidomain optimization in optical systems.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Angular motion point spread function model considering aberrations and defocus effects

Iftach Klapp and Yitzhak Yitzhaky
J. Opt. Soc. Am. A 23(8) 1856-1864 (2006)

Point spread function of an optical system with defocus and spherical aberration—analytical formulas

Antonín Mikš and Jiří Novák
Appl. Opt. 58(21) 5823-5829 (2019)

Extended Nijboer–Zernike approach for the computation of optical point-spread functions

Augustus J. E. M. Janssen
J. Opt. Soc. Am. A 19(5) 849-857 (2002)

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

Figures (6)

You do not have subscription access to this journal. Figure files 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 (131)

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