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Proceedings ArticleDOI

Asymmetrical PSF by Azimuthal Walsh filters

TLDR
In this article, the effects of phase asymmetry in the azimuthal Walsh filters on the PSF in the Far-Field diffraction pattern were investigated and the results showed that the inherent asymmetry of the filters leads to asymmetrical point spread function (PSF) in the far field diffraction patterns.
Abstract
Azimuthal Walsh Functions can be utilized to obtain an orthogonal set of Azimuthal Walsh Filters where the transmission values of +1 and −1 are achieved by using 0 and pi phase respectively. The inherent asymmetry in the azimuthal Walsh filters leads to asymmetrical Point Spread Function (PSF) in the far field diffraction pattern. This report presents results of our preliminary investigation on the effects of phase asymmetry in the filters on the PSF in the Far-field patterns.

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Citations
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Book ChapterDOI

Azimuthal Walsh Filters: An Interesting Tool to Produce 2D and 3D Light Structures

TL;DR: In this paper, the authors reported the possibility of modifying the beam structure around the far-field plane by diffraction characteristics of azimuthal Walsh filters placed on the exit pupil plane when computed analytically.
Book ChapterDOI

Point Spread Function of Apertures Masked by Two-Dimensional Polar Walsh Filters

TL;DR: Binary polar Walsh filters derived from two dimensional polar Walsh functions provide an effective tool for tailoring the three dimensional intensity distributions of a point spread function (PSF) in the pupil plane in a diffraction limited imaging system.
Posted ContentDOI

Generation of axial multi foci pattern

TL;DR: In this article , a Walsh function filter of fixed orders and annular obstruction was used to generate axially polarized multiple spots, transversely polarized multiple holes,transversely polarized multi spots, and axially and transversely polarised multi holes with extended central annular region.
References
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Journal ArticleDOI

Walsh filters for tailoring of resolution in microscopic imaging

TL;DR: Different types of Walsh functions in one and two dimensions are presented to demonstrate that a large class of pupil filters can be synthesized from them to cater to the various needs of diffraction pattern for tailoring transverse and/or axial resolution in microscopic applications.
Journal ArticleDOI

Far-field diffraction properties of radial Walsh filters

TL;DR: In this paper, a set of orthogonal radial filters for the pupil of an imaging system is presented, with analytical expressions for members of the set and their Hankel transforms of order zero.
Journal ArticleDOI

Self-similarity in radial Walsh filters and axial intensity distributions in the far-field diffraction pattern

TL;DR: Observations on self-similarity in radial Walsh filters of various orders and corresponding axial intensity distributions provide valuable clues in tackling the inverse problem of synthesis of phase filter in accordance with prespecified axialintensity distributions.
Journal ArticleDOI

Imaging properties of sector-shaped apertures.

TL;DR: These apertures play a key role in a holographic multiplexing technique introduced by the authors and are discussed on the basis of the encircled energy distribution.
Journal ArticleDOI

Real-time Image Restoration through Walsh Filtering

TL;DR: The analytical technique and the results point towards the feasibility of a new restoration scheme enabling one to replace the usually conceived scheme of transverse segmentation by one with a finite array of correctors placed longitudinally.
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