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Apodization

2012

Cited by 0

apodization

2024

Citation: 'apodization' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.08224 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial usage of the compendium should be directed to IUPAC.

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Apodization Neutralization

M. C. Rynders, Larry N. Thibos, Arthur Bradley et al. · Documenta ophthalmologica. Proceedings series · 1997

Cited by 7

Kinoform apodization

Zbigniew Jaroszewicz, Ari T. Friberg, Sergei Popov · Journal of Modern Optics · 2000

Abstract A new apodization principle is introduced, according to which the amplitude function is realized as a varying diffraction efficiency of the multistep phase diffractive element. A proper modification of the phase-step heights within the apodization region allows one to redirect light from the main diffraction order into its conjugate, simultaneously avoiding the presence of light in the two nearest neighbouring orders. The analysis is confirmed by the simulation results.

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apodization function

2024

Citation: 'apodization function' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.08225 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial usage of the compendium should be directed to IUPAC.

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Luneberg Apodization Problems

J. Ernest Wilkins · Journal of the Optical Society of America · 1963

Barakat has recently discussed certain apodization problems originally proposed by Luneberg. We present in this note some critical comments on these papers. First is a series of mathematical observations on the analysis used by Barakat to solve the apodization problems. Next, is a criticism of his formulation of these problems, followed by a solution of modified versions of them. Finally, we state some unsolved apodization problems.

Cited by 24

Apodization of diffractionless beams

Roger M. Herman, T. A. Wiggins · Applied Optics · 1992

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text Roger M. Herman and T. A. Wiggins, "Apodization of diffractionless beams," Appl. Opt. 31, 5913-5915 (1992) Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

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Advancing Apodization Techniques: Optimizing Interferometric Apodization by Homothety for Exoplanet Detection

A. Qazbour, Y. El Azhari, Jamal Chafi et al. · Proceedings of the International Astronomical Union · 2024

Abstract New apodization techniques are emerging rapidly to enhance the coronagraphs’ rejection capabilities and refine the optics for directly detecting exoplanets. One such technique, Interferometric Apodization by Homothety (IAH), involves splitting the incident Point Spread Function (PSF) into two using a 50 : 50 beamsplitter. One of the resulting PSFs has its amplitude reduced by a factor γ and its transverse dimension expanded by a factor ƞ . By combining these two PSFs, an apodized PSF is generated. In this study, we will use the standard values of γ and ƞ for both rectangular and circular apertures. We implement this approach in the laboratory using a Mach-Zehnder Interferometer with Cube Beamsplitters, chosen for their advantages over Plate Beamsplitters, including easy integration at a 0 ° angle of incidence and equal optical path lengths for reflected and transmitted light. This technique shows significant promise, achieving a contrast of approximately 5.10 −3 at small angular separations around 2.8 λ /D.

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Apodization with Serrated Edges

Yakov G. Soskind · SPIE eBooks · 2011

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Spatially variant apodization algorithm

J. R. Fienup, H.C. Stankwitz, R. J. Dallaire · OSA Annual Meeting · 1993

Apodization (apertureplane weighting) suppresses impulse-response sidelobes in imagery.

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Apodization of ultrasound transmission

Robert H. Russell · The Journal of the Acoustical Society of America · 1990

First Page

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Luneberg apodization problem I

Virendra N. Mahajan · Optics Letters · 1980

The Luneberg apodization problem on the determination of pupil function giving maximum central value of the point-spread function of an incoherent imaging system is considered subject to the condition that the total power in the pupil is fixed. It is shown that, irrespective of the shape of the pupil, any amplitude variations reduce the central irradiance and any phase variations further reduce it, thus showing that an unapodized-unaberrated pupil gives maximum central irradiance. Through consideration of several examples of apodization of centrally obscured circular pupils, it is shown that the effects of large amplitude variations on the central irradiance are small compared with the effects of small phase aberrations.

Cited by 12

Interferometric apodization of rectangular apertures

C. Aimé, Rémi Soummer, A. Ferrari · Astronomy and Astrophysics · 2001

We describe the principle of an apodization technique for rectangular apertures that can be implemented using a Michelson or a Mach-Zender interferometer. Using several interferometers, any integer power of cosine functions can be obtained. The technique is considered for application to the Apodized Square Aperture (ASA) concept recently proposed by Nisenson & Papaliolios (2001). Simple analytic expressions for the Point Spread Functions of such apodized apertures are given. For a cosine to the power N apodization, the resulting focal plane amplitude is simply the sum of weighted and shifted sine cardinal functions. The interest of such apodized apertures for coronagraphy is investigated. It appears that these apodization functions are very efficient provided that only a central part of the cosine-arch is used. Analytic expressions are derived for the residual amplitude left in an image of the aperture after the coronagraphic experiment. Best results are obtained with a cosine squared apodization.

Cited by 34Open access

Norton-Beer apodization python pachage

Ntokas, Konstantin Franz Fotios · Zenodo (CERN European Organization for Nuclear Research) · 2023

Initialization of the repository;

Cited by 0Open access

Interferometric apodization of rectangular apertures

C. Aime, R. Soummer, A. Ferrari · Springer Link (Chiba Institute of Technology) · 2001

\n We describe the principle of an apodization technique for rectangular apertures that can be implemented\nusing a Michelson or a Mach-Zender interferometer. Using several interferometers, any integer power of cosine\nfunctions can be obtained. The technique is considered for application to the Apodized Square Aperture (ASA)\nconcept recently proposed by Nisenson & Papaliolios (2001). Simple analytic expressions for the Point Spread\nFunctions of such apodized apertures are given. For a cosine to the power N apodization, the resulting focal\nplane amplitude is simply the sum of $N+1$ weighted and shifted sine cardinal functions. The interest of such\napodized apertures for coronagraphy is investigated. It appears that these apodization functions are very\nefficient provided that only a central part of the cosine-arch is used. Analytic expressions are derived for the\nresidual amplitude left in an image of the aperture after the coronagraphic experiment. Best results are obtained\nwith a cosine squared apodization.\n \n \n

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Phase-induced amplitude apodization complex mask coronagraph (PIAACMC) without PIAA: redesigning a phase-induced amplitude apodization to a conventional pupil amplitude apodization

Charles Sallard, P. Martinez, A. Spang et al. · 2024

The PIAACMC is one example of a coronagraphic concept that approaches close to ideal efficiency and is well-suited to the small inner working angle (IWA) paradigm. In this context, it combines scientific opportunities with technical challenges. The small IWA and high efficiency enable access to habitable zones of late-type stars and a large number of targets. However, PIAACMC technology is challenging and more demanding than more conservative concepts. In a recent development of PIAACMC for the SPEED test bed, we had to improve the manufacturing accuracy of the PIAA unit through a new production campaign. Meanwhile, we adopted the APCMC (apodized pupil complex mask coronagraph) as the SPEED coronagraph, which is essentially our PIAACMC without a PIAA unit. Both APCMC and PIAACMC share the same multi-zone phase-shifting focal plane mask, but the PIAA unit is redesigned into a pupil amplitude apodizer mask. In this communication, we report on the design exploration and trades when transforming a PIAA unit into a conventional apodizer to achieve high-contrast performance similar to the original PIAACMC design.

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Correspondence - Apodization and windowing eigenfunctions

Kevin J. Parker · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · 2014

Across a range of spectral estimation problems and beam focusing problems, it is necessary to constrain the properties of a function and its Fourier transform. In many cases, compact functions in both domains are desired, within the theoretical bounds of the uncertainty principle. Recently, a hyperbolic sine function of modified argument and power was found to be an approximate eigenfunction of the Fourier transform operation, and demonstrated useful properties of compactness with low side lobes. The empirical finding of the eigenfunction relationship is explained by comparison with the prolate spheroidal wave functions, which have exact eigenfunction properties, and their usefulness is demonstrated by examples.

Cited by 6

Novel sampled grating apodization technique

Xuhui Li, Xiangfei Chen, Yuzhe Yin et al. · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2004

A novel apodization technique is presented using a combination of a phase mask with an amplitude mask of variable mark-space ratio for fabricating sampled Bragg grating (SBG) for the first time. This technique only needs single exposure process instead of double exposure to complete apodization and apodization compensation in SBG fabrication. From our numerical simulation and experimental results, it can be seen that this technique is promising in changing reflection spectrum and reducing the ripple of group velocity delay of the sampled fiber Bragg gratings.

Cited by 1

Apodization in confocal scanning microscopy

Pedro Andrés, Manuel Martínez‐Corral · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2003

Confocal scanning microscopy is an imaging technique meanly featured by its unique optical sectioning capacity when imaging three-dimensional objects. In this work we improve the axial resolution of these setups by introducing pupil filters with specified amplitude transmittance. Our filter-design procedure, which of course is valid for the nonparaxial regime, is applied to both conventional and 4Pi confocal microscopes.

Cited by 0

Correspondence: Apodization and Windowing Functions

Kevin J. Parker · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · 2013

In beamforming, a critical design issue is the choice of the window or apodization function. Because the transverse beam pattern at focal depth is related to the Fourier transform of the apodization function, designers must evaluate the properties of the function and its transform, jointly, to optimize the system. This paper illustrates systematic approaches to designing useful functions.

Cited by 47