Abstract
Analytic expressions are given for the on-axis intensity predicted by the Rayleigh-Sommerfeld and Kirchhoff diffraction integrals for a scalar optical system of high numerical aperture and finite value of Fresnel number. A definition of the axial optical coordinate is introduced that is valid for finite values of Fresnel number, for high-aperture systems, and for observation points distant from the focus. The focal shift effect is reexamined. For the case when the focal shift is small, explicit expressions are given for the focal shift and the axial peak in intensity.
| Original language | English |
|---|---|
| Pages (from-to) | 2156-2162 |
| Number of pages | 7 |
| Journal | Journal of the Optical Society of America A: Optics and Image Science, and Vision |
| Volume | 20 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2003 |
| Externally published | Yes |
ASJC Scopus Subject Areas
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Computer Vision and Pattern Recognition