ANALYTICAL FORMULA FOR CALCULATING THE FOCAL SHIFT IN APODIZED SYSTEMS

Authors
MARTINEZCORRAL M ZAPATARODRIGUEZ CJ ANDRES P KOWALCZYK M
Citation
M. Martinezcorral et al., ANALYTICAL FORMULA FOR CALCULATING THE FOCAL SHIFT IN APODIZED SYSTEMS, J. mod. opt., 45(8), 1998, pp. 1671-1679
Citations number
13
Categorie Soggetti
Optics
Journal title
J. mod. opt. → ACNP
ISSN journal
09500340
Volume
45
Issue
8
Year of publication
1998
Pages
1671 - 1679
Database
ISI
SICI code
0950-0340(1998)45:8<1671:AFFCTF>2.0.ZU;2-L
Abstract
We report a quite simple analytical formula for the evaluation of the focal shift in apodized systems, with or without rotational invariance . Specifically it is shown that the magnitude of the focal shift is de termined by the product of the Fresnel number of the focusing geometry and the standard deviation of a mapped version of the azimuthal avera ge of the pupil transmittance. To illustrate our approach, several exa mples are examined.