Spherical aberration and the electromagnetic field in high-aperture systems
- 1 September 1991
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 8 (9) , 1404-1410
- https://doi.org/10.1364/josaa.8.001404
Abstract
We present a model for investigating the effect of spherical aberration on the electromagnetic field and the Poynting vector in the focal region of a high-aperture lens. The fields are obtained by integrating the vector equivalent of Kirchhoff’s boundary integral over the aberrated wave front. We have studied both diffraction patterns and transfer functions. Our results differ significantly from those obtained by classical focusing theory. For example, the intensity peak is narrower. Also the intensiy distribution is no longer symmetric on the optical axis. A similar asymmetry has recently been measured.Keywords
This publication has 12 references indexed in Scilit:
- 3‐D image formation in high‐aperture fluorescence confocal microscopy: a numerical analysisJournal of Microscopy, 1990
- The effect of aberrations on the axial response of confocal imaging systemsJournal of Microscopy, 1989
- Aberrations in high aperture conventional and confocal imaging systemsApplied Optics, 1988
- Focusing of electromagnetic waves through a dielectric interfaceJournal of the Optical Society of America A, 1984
- Remarks on algorithm 006: An adaptive algorithm for numerical integration over an N-dimensional rectangular regionJournal of Computational and Applied Mathematics, 1980
- An adaptive algorithm for numerical integration over an n-dimensional cubeJournal of Computational and Applied Mathematics, 1976
- Computation of radiation patterns involving numerical double integrationIEEE Transactions on Antennas and Propagation, 1968
- Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic systemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1959
- Electromagnetic diffraction in optical systems - I. An integral representation of the image fieldProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1959
- The Numerical Evaluation of the Frequency Response of Optical SystemsProceedings of the Physical Society. Section B, 1957