Far-Field Diffraction Patterns of Single and Multiple Apertures Bounded by Arcs and Radii of Concentric Circles*†

Mahan, A. I.; Bitterli, C. V.; Cannon, S. M.

doi:10.1364/josa.54.000721

Cited by 46 publications

(11 citation statements)

References 3 publications

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“…Examples are apertures consisting of circular segments or sectors. The intensity in the focal plane in the case of a semicircular aperture has been reported in several papers [5][6][7][8]. We assume the optical axis to be through the center of the semicircular arc.…”

Section: Extension To Other Aperture Shapesmentioning

confidence: 99%

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Diffraction of a focused wave by an aperture: a new perspective

Sheppard¹

2015

J. Opt. Soc. Am. A

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A new approach for calculating the field in the focal region along lines through the focal point of a lens is presented. In particular, the method is applied to a circular aperture. It is also applied to other shaped apertures, including circular sectors or segments, such as a semicircular aperture or Hilbert mask, and to polygonal shapes. The diffracted field is calculated by a one-dimensional Fourier transform, and can be used for accurate calculation at observation points distant from the focus. The approach gives new insight to appreciating the asymptotic behavior of the diffracted field, and the existence of intensity zeros, for different aperture shapes.

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Section: Extension To Other Aperture Shapesmentioning

confidence: 99%

“…For a rectangular pupil, the solution can be obtained directly in Cartesian coordinates in terms of Fresnel integrals [4]. Other frequently encountered pupils consist of circular segments or sectors [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Diffraction of a focused wave by an aperture: a new perspective

Sheppard¹

2015

J. Opt. Soc. Am. A

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“…Whereas the diffraction effect of sector with random radii and angle is described in Ref. 5, the complex amplitude distribution is deduced as follows:…”

Section: Diffraction Effect Of Sector Pupilmentioning

confidence: 99%

Diffraction effects on image quality of a segmented mirror with quasi-annulus sector

et al. 2009

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Segmented deployable primary mirror is an effective way to increase the size of primary mirror to get higher resolution. We explore research on primary mirror with 8 quasi annulus sectors surrounding an octagon central segment, which is quite different to generally used structure with regular hexagon segments. The PSF of quasi annulus sector is deduced in this paper which hasn't been mentioned before. The expression of total primary mirror is described and diffraction effect on image quality with gaps and piston is discussed and simulated.

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“…It has been assumed that the amplitude and phase remain constant over the aperture. The analysis of far-field diffraction characteristics has been studied using the technique of calculating intensity point spread function for sector shaped apertures proposed by Mahan et al [46]. Lessard and Som [47] has extended the idea both theoretically and practically and used this aperture for holographic multiplexing technique used by the authors.…”

Section: Introductionmentioning

confidence: 99%

Self-similarity in azimuthal Walsh filters and corresponding far-field diffraction characteristics : a unique study to control tightly focused fields and coupling of light into metamaterials, plasmonic structure and waveguides

Bhattacharya

2020

Plasmonics in Biology and Medicine XVII

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Artikkelit Luonnontieteiden ja metsätieteiden tiedekunta 2020 Self-similarity in azimuthal Walsh filters and corresponding far-field diffraction characteristics : a unique study to control tightly focused fields and coupling of light into metamaterials, plasmonic structure and waveguides Bhattacharya, Indrani SPIE Artikkelit ja abstraktit tieteellisissä konferenssijulkaisuissa © Society of Photo-Optical Instrumentation Engineers (SPIE). One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this publication for a fee or for commercial purposes, and modification of the contents of the publication are prohibited.

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Far-Field Diffraction Patterns of Single and Multiple Apertures Bounded by Arcs and Radii of Concentric Circles*†

Cited by 46 publications

References 3 publications

Diffraction of a focused wave by an aperture: a new perspective

Diffraction of a focused wave by an aperture: a new perspective

Diffraction effects on image quality of a segmented mirror with quasi-annulus sector

Self-similarity in azimuthal Walsh filters and corresponding far-field diffraction characteristics : a unique study to control tightly focused fields and coupling of light into metamaterials, plasmonic structure and waveguides

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