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The propagation of stable coherent entities of an electromagnetic field in nonlinear media with parameters varying in space can be described in the framework of iterations of nonlinear integral transformations. It is shown that for a set of…

Pattern Formation and Solitons · Physics 2020-12-10 A. Yu. Okulov

Bessel beams generated with non-ideal axicons are affected by aberrations. We introduce a method to retrieve the complex amplitude of a Bessel beam from intensity measurements alone, and then use this information to correct the wavefront…

Optics · Physics 2022-04-06 B. Miao , L. Feder , J. E. Shrock , H. M. Milchberg

Various methods have been introduced to measure the orbital angular momentum (OAM) of light, from fork holograms to Dove prism interferometers, from tilted lenses to triangular apertures - each with their own benefits and limitations. Here…

The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow binary inspiral with outgoing waves. Important…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Zeferino Andrade , Christopher Beetle , Alexey Blinov , Benjamin Bromley , Lior M. Burko , Maria Cranor , Robert Owen , Richard H. Price

In dynamic imaging, a key challenge is to reconstruct image sequences with high temporal resolution from strong undersampling projections due to a relatively slow data acquisition speed. In this paper, we propose a variational model using…

Numerical Analysis · Mathematics 2018-01-22 Qiaoqiao Ding , Martin Burger , Xiaoqun Zhang

In this work, we investigate the diffraction of optical vortex beams through a tunable elliptical Fresnel phase mask (TEFPM). The resulting diffraction patterns are influenced by both the topological charge of the beam and the ellipticity…

Optics · Physics 2025-09-03 Ali Mardan Dezfouli , Mario Rakić , Hrvoje Skenderović

We report on theoretical and numerical study of propagation of atomic beams crossing a detuned standing-wave laser beam in the geometric optics limit. The interplay between external and internal atomic degrees of freedom is used to…

Atomic Physics · Physics 2015-03-19 S. V. Prants , V. O. Vitkovsky , L. E. Konkov

We propose a method for designing refractive optical elements for collimated beam shaping. In this method, the problem of finding a ray mapping is formulated as a linear assignment problem, which is a discrete version of the corresponding…

Recently, a method for obtaining diffraction-attenuation resistant beams in absorbing media was developed through suitable superposition of ideal zero-order Bessel beams. In this work, we will show that such beams maintain their resistance…

We consider the Bayesian approach to the inverse problem of recovering the shape of an object from measurements of its scattered acoustic field. Working in the time-harmonic setting, we focus on a Helmholtz transmission problem and then…

Analysis of PDEs · Mathematics 2024-10-31 Safiere Kuijpers , Laura Scarabosio

Nonlinear optics is crucial for shaping the spatial structure of shortwave light and its interactions with matter, but achieving this through simple harmonic generation with a single pump is challenging. This study demonstrates nonlinear…

Optics · Physics 2025-06-23 Ting-Ting Liu , Shi-Hui Ding , Chun-Yu Li , Hui Liu , Zhi-Han Zhu , Peng Chen , Yan-Qing Lu

Light beams possessing orbital angular momentum (OAM) have gained significant interest in areas such as optical manipulation, quantum entanglement, and super-resolved imaging. In itself, the OAM for a Laguerre-Gaussian beam is proportional…

We derive upper bounds to free-space concentration of electromagnetic waves, mapping out the limits to maximum intensity for any spot size and optical beam-shaping device. For sub-diffraction-limited optical beams, our bounds suggest the…

Optics · Physics 2020-07-08 Hyungki Shim , Haejun Chung , Owen D. Miller

We propose an ultrasound speckle filtering method for not only preserving various edge features but also filtering tissue-dependent complex speckle noises in ultrasound images. The key idea is to detect these various edges using a phase…

Image and Video Processing · Electrical Eng. & Systems 2021-02-11 Kunqiang Mei , Bin Hu , Baowei Fei , Binjie Qin

A method to temporally tailor the properties of X-ray radiation carrying Orbital Angular Momentum (OAM) is presented. In simulations, an electron beam is prepared with a temporally modulated micro-bunching structure which, when radiating at…

Accelerator Physics · Physics 2022-05-04 J. Morgan , B. W. J. McNeil

We study inelastic resonant scattering of a Gaussian wave packet with the parameters close to a zero of the complex scattering coefficient. We demonstrate, both theoretically and experimentally, that such near-zero scattering can result in…

We propose and implement an aberration correction method for the creation of extended arrays of spots well beyond the isoplanatic region of any optical system. The method relies on an extensive calibration of aberrations in terms of Zernike…

Optics · Physics 2025-12-19 Yohann Machu , Gautier Creutzer , Clément Sayrin , Michel Brune

The axis tilt of light beam in optical system would introduce the dispersion of orbital angular momentum (OAM) spectrum. To deal with it, a two-step method is proposed and demonstrated. First, the tilt angle of optical axis is identified…

Optics · Physics 2020-04-27 Peng Zhao , Shikang Li , Yu Wang , Xue Feng , Kaiyu Cui , Fang Liu , Wei Zhang , Yidong Huang

We develop a means for speckle-based phase imaging of the projected thickness of a single-material object, under the assumption of illumination by spatially random time-independent x-ray speckles. These speckles are generated by passing x…

Lightwave pulse shaping in the picosecond regime has remained unaddressed because it resides beyond the limits of state-of-the-art techniques, either due to its inherently narrow spectral content or fundamental speed limitations in…

Optics · Physics 2025-03-10 Randy Lemons , Jack Hirschman , Hao Zhang , Charles Durfee , Sergio Carbajo