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We introduce a novel parameterization of complex unitary matrices, which allows for the efficient photonic implementation of arbitrary linear discrete unitary operators. The proposed architecture is built on factorizing an $N \times N$…

Optics · Physics 2023-07-17 Matthew Markowitz , Mohammad-Ali Miri

With a Bayesian approach, the linear optics correction algorithm for storage rings is revisited. Starting from the Bayes' theorem, a complete linear optics model is simplified as "likelihood functions" and "prior probability distributions".…

Accelerator Physics · Physics 2019-04-18 Yongjun Li , Robert Rainer , Weixing Cheng

Superpositions of paraxial laser beam modes to generate atom-optical lenses based on the optical dipole force are investigated theoretically. Thin, wide, parabolic, cylindrical and circular atom lenses with numerical apertures much greater…

Quantum Physics · Physics 2013-06-26 Ole Steuernagel

The goal of this chapter is to review the recent work and advances in the area of space-time beamforming algorithms and their application to radar systems. These systems include phased-array \cite{melvin} and multi-input multi-output (MIMO)…

Information Theory · Computer Science 2013-02-12 Rodrigo C. de Lamare

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

Numerical Analysis · Mathematics 2025-10-20 Veit Elser

Characterising large-scale quantum systems is central to fundamental physics and essential for applications of quantum technologies. While a full characterisation requires exponentially increasing resources, focusing on application-relevant…

Flat-top beam, known for its ability to generate a consistently even irradiation area, holds vast utility in many fields of scientific and industrial applications. In this paper, a reflective laser beam shaping method based on two…

Optics · Physics 2024-05-16 Zhihao Chen , Xiaonan Ning , Jiucheng Chen , Jianfei Hua , Wei Lu

We present a novel method to investigate the effects of varying channel parameters on geometrically shaped constellations for communication systems employing the blind phase search algorithm. We show that introduced asymmetries…

Signal Processing · Electrical Eng. & Systems 2022-06-30 Andrej Rode , Laurent Schmalen

We describe and analyze algorithms for shape-constrained symbolic regression, which allows the inclusion of prior knowledge about the shape of the regression function. This is relevant in many areas of engineering -- in particular whenever…

Neural and Evolutionary Computing · Computer Science 2021-07-21 Christian Haider , Fabricio Olivetti de França , Bogdan Burlacu , Gabriel Kronberger

Linear optical elements are pivotal instruments in the manipulation of classical and quantum states of light. The vast progress in integrated quantum photonic technology enables the implementation of large numbers of such elements on chip…

Quantum Physics · Physics 2016-10-10 Max Tillmann , Christian Schmidt , Philip Walther

Multi-mode optical interferometers represent the most viable platforms for the successful implementation of several quantum information schemes that take advantage of optical processing. Examples range from quantum communication, sensing…

Prototype optical microscopes, built to pursue developments in advanced imaging techniques, need specific optomechanical constructions: preferably with high flexibility in the elements arrangement, easy access to the optical paths,…

Instrumentation and Detectors · Physics 2023-05-30 Łukasz Zinkiewicz , Milena Królikowska , Alexander Krupiński-Ptaszek , Piotr Wasylczyk

A method for automatic computation of parameter derivatives of numerically computed light scattering signals is demonstrated. The finite-element based method is validated in a numerical convergence study, and it is applied to investigate…

Optics · Physics 2013-04-17 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt , B. Bodermann

Methodologies for reducing the design-space dimensionality in shape optimization have been recently developed based on unsupervised machine learning methods. These methods provide reduced dimensionality representations of the design space,…

Optimization and Control · Mathematics 2022-12-21 Andrea Serani , Matteo Diez

Given a unirational parameterization of a surface, we present a general algorithm to determine a birational parameterization without using parameterization algorithms. Additionally, if the surface is assumed to have a birational…

Algebraic Geometry · Mathematics 2022-11-15 Jorge Caravantes , Sonia Pérez-Díaz , J. Rafael Sendra

Light scattering is the main limitation for optical imaging. However, light can be focused through or inside turbid media by spatially shaping the incident wavefront. Wavefront shaping is ultimately limited by the available photon budget.…

Instrumentation and Detectors · Physics 2021-03-24 Bahareh Mastiani , Ivo M. Vellekoop

Unitary Fourier transform lies at the core of the multitudinous computational and metrological algorithms. Here we show experimentally how the unitary Fourier transform-based phase estimation protocol, used namely in quantum metrology, can…

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

A topology optimization formulation including a model of the layer-by-layer additive manufacturing (AM) process is considered. Defined as a multi-objective minimization problem, the formulation accounts for the performance and cost of both…

Numerical Analysis · Mathematics 2022-06-29 G. A. Haveroth , C-J. Thore , M. R. Correa , R. F. Ausas , S. Jakobsson , J. A. Cuminato , A. Klarbring

Nonlinear optics of structured light has recently delivered intriguing fundamental physical phenomena in light-matter interactions and advanced applications from classical imaging to quantum informatics. The mutual interaction between spin,…

Optics · Physics 2023-05-03 Jing Pan , Hao Wang , Zijian Shi , Yijie Shen , Xing Fu , Qiang Liu