Hybrid pupil filter design using Bessel series

We propose a simple method of designing pupil filters for transverse super-resolution. For this end we represent the amplitude Point Spread Function (PSF) as a series expansion, constructed from the Fourier transform of a basis of Bessel functions. With this representation we optimize the intensity...

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Bibliographic Details
Published in:Optics communications 2011-09, Vol.284 (20), p.4900-4902
Main Authors: Ochoa, Noé Alcalá, García-Márquez, J., González-Vega, A.
Format: Article
Language:English
Subjects:
Amplitudes
Bessel functions
Complex pupil filters
Disks
Fourier transforms
Point spread functions
Pupil engineering
Pupils
Representations
Series expansion
Super-resolution
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Summary:We propose a simple method of designing pupil filters for transverse super-resolution. For this end we represent the amplitude Point Spread Function (PSF) as a series expansion, constructed from the Fourier transform of a basis of Bessel functions. With this representation we optimize the intensity PSF according to certain desired characteristics, such as a smaller disk diameter than the corresponding, clear aperture, Airy disk. It is proved that by using few basis functions, it is possible to design pupils with similar or better PSF characteristics than previously reported.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2011.06.049