Off-axis Hartmann wavefront sensing for the GMT-Consortium Large Earth Finder (G-CLEF) red camera optics

Fuente: arXiv
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Main Authors: Leung, Matthew C. H., Jurgenson, Colby A., Szentgyorgyi, Andrew, McLeod, Brian, Onyuksel, Cem, Zajac, Joseph, Charbonneau, David, Podgorski, William, Unger, Abigail, Mueller, Mark, Smith, Matthew, Baldwin, Daniel, Villar, V. Ashley
Format: Preprint
Published: 2024
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author Leung, Matthew C. H.
Jurgenson, Colby A.
Szentgyorgyi, Andrew
McLeod, Brian
Onyuksel, Cem
Zajac, Joseph
Charbonneau, David
Podgorski, William
Unger, Abigail
Mueller, Mark
Smith, Matthew
Baldwin, Daniel
Villar, V. Ashley
author_facet Leung, Matthew C. H.
Jurgenson, Colby A.
Szentgyorgyi, Andrew
McLeod, Brian
Onyuksel, Cem
Zajac, Joseph
Charbonneau, David
Podgorski, William
Unger, Abigail
Mueller, Mark
Smith, Matthew
Baldwin, Daniel
Villar, V. Ashley
contents The Hartmann test is a method used to measure the wavefront error in a focal optical system, wherein a mask with a pattern of small holes is placed at the system's aperture stop. By taking an image at a defocused plane, the differences between the ideal and real positions of the reimaged holes (called the transverse ray aberrations) can be measured, which can then be used to estimate the wavefront error. However, the Hartmann test is usually used with an on-axis field. In this paper, we present a wavefront sensing method which generalizes the classical Hartmann test for off-axis field angles and arbitrary reference wavefronts. Our method involves taking images at two defocused planes, and then using the real reimaged hole positions on both planes to estimate the trajectories of rays from the system's exit pupil, at which the reference wavefront is situated. We then propagate the rays forward from the reference wavefront to one of the two defocused planes, in order to find the ideal reimaged hole positions, from which we can compute transverse ray aberrations. We derive and solve a pair of nonlinear partial differential equations relating transverse ray aberrations to wavefront error, using Zernike decomposition and nonlinear least squares. Our method has been verified on simulated data from the 7-lens f/2.25 red camera system of the GMT-Consortium Large Earth Finder (G-CLEF), a high resolution optical echelle spectrograph which will be a first light instrument for the Giant Magellan Telescope (GMT).
format Preprint
id arxiv_https___arxiv_org_abs_2407_20344
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Off-axis Hartmann wavefront sensing for the GMT-Consortium Large Earth Finder (G-CLEF) red camera optics
Leung, Matthew C. H.
Jurgenson, Colby A.
Szentgyorgyi, Andrew
McLeod, Brian
Onyuksel, Cem
Zajac, Joseph
Charbonneau, David
Podgorski, William
Unger, Abigail
Mueller, Mark
Smith, Matthew
Baldwin, Daniel
Villar, V. Ashley
Instrumentation and Methods for Astrophysics
Optics
The Hartmann test is a method used to measure the wavefront error in a focal optical system, wherein a mask with a pattern of small holes is placed at the system's aperture stop. By taking an image at a defocused plane, the differences between the ideal and real positions of the reimaged holes (called the transverse ray aberrations) can be measured, which can then be used to estimate the wavefront error. However, the Hartmann test is usually used with an on-axis field. In this paper, we present a wavefront sensing method which generalizes the classical Hartmann test for off-axis field angles and arbitrary reference wavefronts. Our method involves taking images at two defocused planes, and then using the real reimaged hole positions on both planes to estimate the trajectories of rays from the system's exit pupil, at which the reference wavefront is situated. We then propagate the rays forward from the reference wavefront to one of the two defocused planes, in order to find the ideal reimaged hole positions, from which we can compute transverse ray aberrations. We derive and solve a pair of nonlinear partial differential equations relating transverse ray aberrations to wavefront error, using Zernike decomposition and nonlinear least squares. Our method has been verified on simulated data from the 7-lens f/2.25 red camera system of the GMT-Consortium Large Earth Finder (G-CLEF), a high resolution optical echelle spectrograph which will be a first light instrument for the Giant Magellan Telescope (GMT).
title Off-axis Hartmann wavefront sensing for the GMT-Consortium Large Earth Finder (G-CLEF) red camera optics
topic Instrumentation and Methods for Astrophysics
Optics
url https://arxiv.org/abs/2407.20344