Fractional Fourier transforms and their optical implementation II
Open accessAbstract
The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution and the space–bandwidth product for propagation in graded-index media are discussed in direct relation to fractional Fourier transforms, and numerical examples are presented. It is shown how fractional Fourier transforms can be made the basis of generalized spatial filtering systems: Several filters are interleaved between several fractional transform stages, thereby increasing the number of degrees of freedom available in filter synthesis.
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Cites
Image rotation, Wigner rotation, and the fractional Fourier transform
Lohmann, A. W. (1993) · Journal of the Optical Society of America A · doi:10.1364/josaa.10.002181 · Cited by 1,019 · see citing works
Fractional Fourier transforms and their optical implementation: I
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Self-citation
- Authors
- Ozaktas, H. M., & Mendlovic, D.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1993-12-01
- Volume
- 10
- Issue
- 12
- Pages
- 2522
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W4246487360
- Semantic Scholar
- 72d1b4c881b030a3a3bdf150fd7a70106fcd3004
- Cited by
- 424
- References
- 9
- Citations by year
- 2026: 4 · 2025: 6 · 2024: 8 · 2023: 3 · 2022: 10 · 2021: 19 · 2020: 14 · 2019: 8 · 2018: 14 · 2017: 10 · 2016: 10 · 2015: 14 · 2014: 15 · 2013: 9 · 2012: 17
- FWCI
- 23.37
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- Bilkent University Institutional Repository (Bilkent University) (submittedVersion)
- Funders
- Bilkent Üniversitesi
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Engineering › Biomedical Engineering › Advanced optical system design
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Keywords
- fractional Fourier transform, optical implementation, graded-index media, space-bandwidth product, spatial resolution, optical wave propagation, filter synthesis
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