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    Finite-aperture effects for Fourier transform systems with convergent illumination. Part II: 3-D system analysis


    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

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    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:

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