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We describe the symmetries present in the point-spread function (PSF) of an optical system either located in space or corrected by an adaptive o to Strehl ratios of about 70% and higher. We present a formalism for expanding the PSF to…

We present numerical simulations of the impact of laser beam wavefront aberrations in cold atom interferometers. We demonstrate that to reach accuracy at the mrad level, simulations cannot be based on a description of the retroreflection…

Atomic Physics · Physics 2025-05-15 Louis Pagot , Sébastien Merlet , Franck Pereira dos Santos

The influence of low-spatial frequency errors of an optical component of an imaging system on the point spread function can be quantified using Zernike polynomials. High-spatial frequency errors cause strong scattering due to which the…

Optics · Physics 2026-04-03 Luuk Zonneveld , Paul Urbach , Aurèle Adam

The performance of telescope systems working at microwave or visible/IR wavelengths is typically described in terms of different parameters according to the wavelength range. Most commercial ray tracing packages have been specifically…

Optics · Physics 2009-11-13 Luca Olmi , Pietro Bolli

Numerical simulations of atmospheric turbulence and AO wavefront correction are performed to investigate the timescale for fringe motion in optical interferometers with spatial filters. These simulations focus especially on partial AO…

Astrophysics · Physics 2009-11-11 Robert Tubbs

We examine the Seidel aberrations of thin spherical lenses composed of media with refractive index not restricted to be positive. We find that consideration of this expanded parameter space allows reduction or elimination of more…

Optics · Physics 2009-11-10 D. Schurig , D. R. Smith

The presence of off-axis tilt and Petzval curvature, two of the lowest-order off-axis Seidel aberrations, is shown to improve the Fisher information of two-point separation estimation in an incoherent imaging system compared to an…

Optics · Physics 2023-04-12 Kevin Liang

Optical imaging quality can be severely degraded by system and sample induced aberrations. Existing adaptive optics systems typically rely on iterative search algorithm to correct for aberrations and improve images. This study demonstrates…

This paper studies the effects on Zernike coefficients of aperture scaling, translation and rotation, when a given aberrated wavefront is described on the Zernike polynomial basis. It proposes a new analytical method for computing the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Eric Tatulli

This paper introduces a novel wavefront sensing approach that relies on the Fourier analysis of a single conventional direct image. In the high Strehl ratio regime, the relation between the phase measured in the Fourier plane and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Frantz Martinache

Consider a perfect AO system with a very fine wavefront sampling interval and a very small actuator interval. If this AO system senses wavefront at a wavelength, lambda_{WFS}, and does science imaging at another wavelength, lambda_{SCI},…

Astrophysics · Physics 2008-11-26 Tadashi Nakajima

Selection of the correct convergence angle is essential for achieving the highest resolution imaging in scanning transmission electron microscopy (STEM). Use of poor heuristics, such as Rayleigh's quarter-phase rule, to assess probe quality…

Data Analysis, Statistics and Probability · Physics 2020-10-29 Noah Schnitzer , Suk Hyun Sung , Robert Hovden

The present paper investigates and discusses the ability of the Hartmann test with 4-aperture DIMM to measure the atmospheric primary aberrations which, in turn, can be used for calculation of the atmospheric coherence time. Through…

Instrumentation and Methods for Astrophysics · Physics 2011-03-09 Ramin Shomali , Sadollah Nasiri , Ahmad Darudi

Achromatic combinations of a diffractive Phase Fresnel Lens and a refractive correcting element have been proposed for X-ray and gamma-ray astronomy and for microlithography, but considerations of absorption often dictate that the…

Astrophysics · Physics 2009-11-10 Gerald K. Skinner

We present an empirical analysis of the effectiveness of frame selection (also known as Lucky Imaging) techniques for high resolution imaging. A high-speed image recording system has been used to observe a number of bright stars. The…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Andrew Smith , Jeremy Bailey , J. H. Hough , Steven Lee

The achievable instrumental performance of a scanning transmission electron microscope (STEM) is determined by the size and shape of the incident electron probe. The most important optical factor in achieving the optimum probe profile is…

Materials Science · Physics 2020-09-01 Matthew Weyland , David A. Muller

We performed wave-optics-based numerical simulations at mid-infrared wavelengths to investigate how the presence or absence of entrance slits and optical aberrations affect the spectral resolving power $R$ of a compact,…

Instrumentation and Methods for Astrophysics · Physics 2022-07-04 Satoshi Itoh , Daisuke Ishihara , Takehiko Wada , Takao Nakagawa , Shinki Oyabu , Hidehiro Kaneda , Yasuhiro Hirahara , the SMI consortium

If the optical system of a telescope is perturbed from rotational symmetry, the Zernike wavefront aberration coefficients describing that system can be expressed as a function of position in the focal plane using spin-weighted Zernike…

Instrumentation and Methods for Astrophysics · Physics 2018-02-19 Stephen M. Kent

The point-spread function (PSF) of an adaptive optics (AO) system is often poorly known. This ignorance can lead to significant systematic errors in photometry. Since the degree of AO correction is sensitive to the observing conditions:…

Astrophysics · Physics 2010-11-11 Christopher D. Sheehy , Nate McCrady , James R. Graham

Spectral efficiency analysis in presence of correlated interfering signals is very important in modern generation wireless networks where there is aggressive frequency reuse with a dense deployment of access points. However, most works…

Information Theory · Computer Science 2020-03-16 Aritra Chatterjee , Sandeep Mukherjee , Suvra Sekhar Das
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