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

Absolute testing of flats by using even and odd functions

Not Accessible

Your library or personal account may give you access

Abstract

We describe a modified three-flat method. In a Cartesian coordinate system, a flat can be expressed as the sum of even–odd, odd–even, even–even, and odd–odd functions. The even–odd and the odd–even functions of each flat are obtained first, and then the even–even function is calculated. All three functions are exact. The odd–odd function is difficult to obtain. In theory, this function can be solved by rotating the flat 90°, 45°, 22.5°, etc. The components of the Fourier series of this odd–odd function are derived and extracted from each rotation of the flat. A flat is approximated by the sum of the first three functions and the known components of the odd–odd function. In the experiments, the flats are oriented in six configurations by rotating the flats 180°, 90°, and 45° with respect to one another, and six measurements are performed. The exact profiles along every 45° diameter are obtained, and the profile in the area between two adjacent diameters of these diameters is also obtained with some approximation. The theoretical derivation, experiment results, and error analysis are presented.

© 1993 Optical Society of America

Full Article  |  PDF Article
More Like This
Absolute testing of the reference surface of a Fizeau interferometer through even/odd decompositions

R. Schreiner, J. Schwider, N. Lindlein, and K. Mantel
Appl. Opt. 47(32) 6134-6141 (2008)

Pixel-based absolute topography test for three flats

Robert E. Parks, Lianzhen Shao, and Chris J. Evans
Appl. Opt. 37(25) 5951-5956 (1998)

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 (29)

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