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

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 trans...

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Bibliographic Details
Published inOptics communications Vol. 263; no. 2; pp. 180 - 188
Main Authors Kelly, Damien P., Hennelly, Bryan M., Sheridan, John T., Rhodes, William T.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.07.2006
Elsevier Science
Subjects
Diffraction and scattering
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optics
Physics
Wave optics
070.0070
070.2590
050.1940
Thin lens
Fourier optics
Fourier transformation
Electromagnetic wave diffraction
Signal processing
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Summary: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.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2006.01.046