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Coherent Diffractive Imaging is a lensless technique that allows imaging of matter at a spatial resolution not limited by lens aberrations. This technique exploits the measured diffraction pattern of a coherent beam scattered by periodic…

Computational Physics · Physics 2025-08-27 Alessandro Colombo , Davide Emilio Galli , Liberato De Caro , Francesco Scattarella , Elvio Carlino

Modern design of complex optical systems relies heavily on computational tools. These typically utilize geometrical optics as well as Fourier optics, which enables the use of diffractive elements to manipulate light with features on the…

Optics · Physics 2022-07-27 Boris Ferdman , Alon Saguy , Onit Alalouf , Yoav Shechtman

The paper extends the formulation of a 2D geometrically exact beam element proposed in our previous paper [1] to curved elastic beams. This formulation is based on equilibrium equations in their integrated form, combined with the kinematic…

Computational Engineering, Finance, and Science · Computer Science 2022-10-06 Martin Horák , Emma La Malfa Ribolla , Milan Jirásek

The refraction of a light ray by a homogeneous, isotropic and non-dispersive transparent material half-space in uniform rectilinear motion is investigated theoretically. The approach is an amalgamation of the original Fermat's principle and…

Optics · Physics 2007-12-06 Aleksandar Gjurchinovski , Aleksandar Skeparovski

Our ability to structure materials at the nanoscale has, and continues to, enable key advances in optical control. In pursuit of optimal photonic designs, substantial progress has been made on two complementary fronts: bottom-up structural…

Refraction at the interface between two materials is fundamental to the interaction of light with photonic devices and to the propagation of light through the atmosphere at large. Underpinning the traditional rules for the refraction of an…

Optics · Physics 2021-02-02 Basanta Bhaduri , Murat Yessenov , Ayman F. Abouraddy

The Fermat principle is advocated to be a convenient tool to analyze the light propagation in a curved space time. It is shown that in the weak deflection regime the light ray trajectories can be systematically described by applying the…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Joanna Piwnik , Joanna Gonera , Piotr Kosinski

Creating arbitrary light patterns finds applications in various domains including lithography, beam shaping, metrology, sensing and imaging. We study the formation of high-contrast light patterns that are obtained by transmission through an…

Optics · Physics 2016-11-23 Ali Naqavi , Hans Peter Herzig , Markus Rossi

In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field…

Optimization and Control · Mathematics 2020-02-19 Guillermo Angeris , Jelena Vučković , Stephen Boyd

Optical devices lie at the heart of most of the technology we see around us. When one actually wants to make such an optical device, one can predict its optical behavior using computational simulations of Maxwell's equations. If one then…

Machine Learning · Computer Science 2022-02-09 Joeri Lenaerts , Hannah Pinson , Vincent Ginis

The principles of difference imaging outlined and the technique of Alard and Lupton (1997) is generalised to generate the best possible difference images to within the limits of measurement error. It is shown how for a large database of…

Astrophysics · Physics 2007-05-23 Austin B. Tomaney

Optical systems are becoming increasingly important by resolving many bottlenecks in today's communication, electronics, and biomedical systems. However, given the continuous nature of optics, the inability to efficiently analyze optical…

Logic in Computer Science · Computer Science 2014-03-13 Sanaz Khan-Afshar , Umair Siddique , Mohamed Yousri Mahmoud , Vincent Aravantinos , Ons Seddiki , Osman Hasan , Sofiene Tahar

One of the reasons for the success of the finite element method is its versatility to deal with different types of geometries. This is particularly true of problems posed in curved domains of arbitrary shape. In the case of second order…

Numerical Analysis · Mathematics 2020-03-24 Vitoriano Ruas

Ultrathin meta-optics offer unmatched, multifunctional control of light. Next-generation optical technologies, however, demand unprecedented performance. This will likely require design algorithms surpassing the capability of human…

Optics · Physics 2021-04-06 Shane Colburn , Arka Majumdar

In this fluid dynamics video, we present an overview of the most important results recently obtained in our group using an optical profilometric technique that allows for single-shot global measurement of free-surface deformations. This…

Fluid Dynamics · Physics 2010-10-19 P. Cobelli , G. Lagubeau , M. Chekroun , A. Przadka , A. Maurel , V. Pagneux , P. Petitjeans

Recent work has demonstrated that imaging systems can be evaluated through the information content of their measurements alone, enabling application-agnostic optical design that avoids computational decoding challenges. Information-Driven…

Image and Video Processing · Electrical Eng. & Systems 2025-07-14 Eric Markley , Henry Pinkard , Leyla Kabuli , Nalini Singh , Laura Waller

Over the last decade, it has been demonstrated that many systems in science and engineering can be modeled more accurately by fractional-order than integer-order derivatives, and many methods are developed to solve the problem of fractional…

Computer Vision and Pattern Recognition · Computer Science 2016-08-11 Qi Yang , Dali Chen , Tiebiao Zhao , YangQuan Chen

Subwavelength photonic structures and metamaterials provide revolutionary approaches for controlling light. The inverse design methods proposed for these subwavelength structures are vital to the development of new photonic devices.…

We report the design of diffractive surfaces to all-optically perform arbitrary complex-valued linear transformations between an input (N_i) and output (N_o), where N_i and N_o represent the number of pixels at the input and output…

Optics · Physics 2021-09-27 Onur Kulce , Deniz Mengu , Yair Rivenson , Aydogan Ozcan

Fourier ptychographic microscopy (FPM) is a recently proposed quantitative phase imaging technique with high resolution and wide field-of-view (FOV). In current FPM imaging platforms, systematic error sources come from the aberrations, LED…

Instrumentation and Detectors · Physics 2017-09-18 An Pan , Yan Zhang , Tianyu Zhao , Zhaojun Wang , Dan Dan , Baoli Yao