Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging
Recently, the super-oscillation phenomenon has attracted attention because of its ability to super-resolve unlabelled objects in the far-field. Previous synthesis of super-oscillatory point-spread functions used the Chebyshev patterns where all sidelobes are equal. In this work, an approach is intro...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-02-01
|
| Series: | Photonics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2304-6732/8/3/64 |
| _version_ | 1797395250989236224 |
|---|---|
| author | Haitang Yang George V. Eleftheriades |
| author_facet | Haitang Yang George V. Eleftheriades |
| author_sort | Haitang Yang |
| collection | DOAJ |
| description | Recently, the super-oscillation phenomenon has attracted attention because of its ability to super-resolve unlabelled objects in the far-field. Previous synthesis of super-oscillatory point-spread functions used the Chebyshev patterns where all sidelobes are equal. In this work, an approach is introduced to generate super-oscillatory Taylor-like point-spread functions that have tapered sidelobes. The proposed method is based on the Schelkunoff’s super-directive antenna theory. This approach enables the super-resolution, the first sidelobe level and the tapering rate of the sidelobes to be controlled. Finally, we present the design of several imaging experiments using a spatial light modulator as an advanced programmable grating to form the Taylor-like super-oscillatory point-spread functions and demonstrate their superiority over the Chebyshev ones in resolving the objects of two apertures and of a mask with the letter <i>E</i>. |
| first_indexed | 2024-03-09T00:31:42Z |
| format | Article |
| id | doaj.art-a657f307a3524f3c8c675133829a08ba |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-09T00:31:42Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-a657f307a3524f3c8c675133829a08ba2023-12-11T18:29:34ZengMDPI AGPhotonics2304-67322021-02-01836410.3390/photonics8030064Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution ImagingHaitang Yang0George V. Eleftheriades1The Edward S. Rogers Sr., Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON M5S 3G4, CanadaThe Edward S. Rogers Sr., Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON M5S 3G4, CanadaRecently, the super-oscillation phenomenon has attracted attention because of its ability to super-resolve unlabelled objects in the far-field. Previous synthesis of super-oscillatory point-spread functions used the Chebyshev patterns where all sidelobes are equal. In this work, an approach is introduced to generate super-oscillatory Taylor-like point-spread functions that have tapered sidelobes. The proposed method is based on the Schelkunoff’s super-directive antenna theory. This approach enables the super-resolution, the first sidelobe level and the tapering rate of the sidelobes to be controlled. Finally, we present the design of several imaging experiments using a spatial light modulator as an advanced programmable grating to form the Taylor-like super-oscillatory point-spread functions and demonstrate their superiority over the Chebyshev ones in resolving the objects of two apertures and of a mask with the letter <i>E</i>.https://www.mdpi.com/2304-6732/8/3/64gratingsspatial light modulatorsuper-oscillationspoint-spread functionShelkunoff’s super-directive antenna theory |
| spellingShingle | Haitang Yang George V. Eleftheriades Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging Photonics gratings spatial light modulator super-oscillations point-spread function Shelkunoff’s super-directive antenna theory |
| title | Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging |
| title_full | Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging |
| title_fullStr | Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging |
| title_full_unstemmed | Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging |
| title_short | Synthesis of Super-Oscillatory Point-Spread Functions with Taylor-Like Tapered Sidelobes for Advanced Optical Super-Resolution Imaging |
| title_sort | synthesis of super oscillatory point spread functions with taylor like tapered sidelobes for advanced optical super resolution imaging |
| topic | gratings spatial light modulator super-oscillations point-spread function Shelkunoff’s super-directive antenna theory |
| url | https://www.mdpi.com/2304-6732/8/3/64 |
| work_keys_str_mv | AT haitangyang synthesisofsuperoscillatorypointspreadfunctionswithtaylorliketaperedsidelobesforadvancedopticalsuperresolutionimaging AT georgeveleftheriades synthesisofsuperoscillatorypointspreadfunctionswithtaylorliketaperedsidelobesforadvancedopticalsuperresolutionimaging |