Abstract

For an optical system with a large amount of aberration, a merit function ∫ ∫A M (s,ψ) g(s) sd sdψ is proposed, where M(s,ψ) is a relative modulation function introduced by Hopkins, g(s) is a weighting function, and A denotes a circular region in the spatial frequency domain (s,ψ). It is shown that the above quantity can be expressed as a quadratic form of the aberration coefficients by using an appropriate approximation. As a numerical example, we set g(s) = 1 and calculate the coefficients of the quadratic terms of the wave-front aberrations.

© 1971 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Zernike olivary polynomials for applications with olivary pupils

Yi Zheng, Shanshan Sun, and Ying Li
Appl. Opt. 55(12) 3116-3125 (2016)

Orthonormal polynomials for annular pupil including a cross-shaped obstruction

Fengzhao Dai, Xiangzhao Wang, and Osami Sasaki
Appl. Opt. 54(10) 2922-2928 (2015)

Orthogonal basis for the optical transfer function

Chelo Ferreira, José L. López, Rafael Navarro, and Ester Pérez Sinusa
Appl. Opt. 55(34) 9688-9694 (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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

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

Tables (1)

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

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

Equations (65)

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

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