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

Nonlinear differential equations for the wavefront surface at arbitrary Hartmann-plane distances

Not Accessible

Your library or personal account may give you access

Abstract

In the Hartmann test, a wave aberration function W is estimated from the information of the spot diagram drawn in an observation plane. The distance from a reference plane to the observation plane, the Hartmann-plane distance, is typically chosen as z=f, where f is the radius of a reference sphere. The function W and the transversal aberrations {X,Y} calculated at the plane z=f are related by two well-known linear differential equations. Here, we propose two nonlinear differential equations to denote a more general relation between W and the transversal aberrations {U,V} calculated at any arbitrary Hartmann-plane distance z=r. We also show how to directly estimate the wavefront surface w from the information of {U,V}. The use of arbitrary r values could improve the reliability of the measurements of W, or w, when finding difficulties in adequate ray identification at z=f.

© 2016 Optical Society of America

Full Article  |  PDF Article
More Like This
Transversal aberrations at arbitrary Hartmann-plane distances: application in the least-squares fitting of Hartmann data

Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, Zacarias Malacara-Hernández, David A. Gutiérrez-Hernández, and Daniel Malacara-Hernández
Appl. Opt. 56(4) 1215-1224 (2017)

Exact equations to measure highly aberrated wavefronts with the Hartmann test

Oliver Huerta-Carranza, Rufino Díaz-Uribe, and Maximino Avendaño-Alejo
Opt. Express 28(21) 30928-30942 (2020)

Accurate testing of aspheric surfaces using the transport of intensity equation by properly selecting the defocusing distance

Peyman Soltani, Ahmad Darudi, George Nehmetallah, Ali Reza Moradi, and Javad Amiri
Appl. Opt. 55(35) 10067-10072 (2016)

References

You do not have subscription access to this journal. Citation lists with outbound citation 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

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 (9)

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

Tables (3)

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 (13)

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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved