Kelly, Damien P. and Hennelly, Bryan M. and Sheridan, John T. and Rhodes, William T.
(2006)
Finite-aperture effects for Fourier transform systems with
convergent illumination. Part II: 3-D system analysis.
Optics Communications, 263.
pp. 180-188.
ISSN 0030-4018
Abstract
One of the most important optical signal processing operations is the optical Fourier transform (OFT). Of the arrangements for
implementation of the OFT, perhaps the most flexible is that for the scaled optical Fourier transform (SOFT), as it allows control over
the scale of the output Fourier transform distribution. By means of an analysis in cylindrical coordinates, we examine some of the practical
limits introduced by the use of a thin lens of finite aperture in the implementation of the SOFT. Using simple rules of thumb that are
based on an examination of the phase and magnitude deviations from the ideal (infinite-lens) diameter case, we define a volume inside the
geometric shadow, which we refer to as a sub-geometric shadow. We then show that inside this sub-geometric shadow errors introduced
by diffraction can be quantified.
Item Type: |
Article
|
Additional Information: |
The published version of this article is available at doi:10.1016/j.optcom.2006.01.046 . © 2006 Elsevier B.V. All rights reserved. We acknowledge the support of Enterprise Ireland and
Science Foundation of Ireland through the Research Innovation
and Proof of Concept Funds, the Basic Research
and the Research Frontiers Programmes. We would also
like to acknowledge the support of the Irish Research
Council for Science, Engineering and Technology. |
Keywords: |
Finite-aperture effects; Fourier transform systems; convergent illumination; 3-D system analysis; |
Academic Unit: |
Faculty of Science and Engineering > Electronic Engineering |
Item ID: |
5773 |
Identification Number: |
https://doi.org/10.1016/j.optcom.2006.01.046 |
Depositing User: |
Dr. Bryan Hennelly
|
Date Deposited: |
04 Feb 2015 15:51 |
Journal or Publication Title: |
Optics Communications |
Publisher: |
Elsevier |
Refereed: |
Yes |
Funders: |
Enterprise Ireland (EI), Science Foundation Ireland (SFI), Irish Research Council for Science Engineering and Technology (IRCSET) |
URI: |
|
Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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