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We present an analytical description and an experimental realization of interscale mixing microscopy, a diffraction-based imaging technique that is capable of detecting wavelength/10 objects in far-field measurements with both coherent and…

Uncertainty quantification and sensitivity analyses are a vital component for predictive modeling in the sciences and engineering. The adjoint approach to sensitivity analysis requires solving a primary system of equations and a…

Computational Physics · Physics 2016-12-08 Kelli D. Humbird , Ryan G. McClarren

Algorithmic differentiable ray tracing is a new paradigm that allows one to solve the forward problem of how light propagates through an optical system while obtaining gradients of the simulation results with respect to parameters…

Optics · Physics 2023-09-26 Bart de Koning , Alexander Heemels , Aurèle Adam , Matthias Möller

This work proposes a novel shape optimization framework for geometric inverse problems governed by the advection--diffusion equation, based on the coupled complex boundary method (CCBM). Building on recent developments [Afr22, Rab23, Rab25,…

Numerical Analysis · Mathematics 2026-03-19 Elmehdi Cherrat , Lekbir Afraites , Julius Fergy Tiongson Rabago

Thick diffractive optical elements offer a promising way to achieve focusing or imaging at a resolution approaching 1 nm for X-ray wavelengths shorter than about 0.1 nm. Efficient focusing requires that these are fabricated with structures…

Optics · Physics 2020-12-02 Henry N. Chapman , Saša Bajt

Metagrating is a new concept for wavefront manipulation that, unlike phase gradient metasurfaces, does not suffer from low efficiency and also has a less complicated fabrication process. In this paper, a compound metallic grating (a…

Optics · Physics 2020-06-24 Mahdi Rahmanzadeh , Amin Khavasi

We consider blind ptychography, an imaging technique which aims to reconstruct an object of interest from a set of its diffraction patterns, each obtained by a local illumination. As the distribution of the light within the illuminated…

Numerical Analysis · Mathematics 2023-06-16 Oleh Melnyk

Materials combining both a high refractive index and a wide band gap are of great interest for optoelectronic and sensor applications. However, these two properties are typically described by an inverse correlation with high refractive…

We report a broadband diffractive optical neural network design that simultaneously processes a continuum of wavelengths generated by a temporally-incoherent broadband source to all-optically perform a specific task learned using deep…

Neural and Evolutionary Computing · Computer Science 2019-12-04 Yi Luo , Deniz Mengu , Nezih T. Yardimci , Yair Rivenson , Muhammed Veli , Mona Jarrahi , Aydogan Ozcan

In ground based astronomical observations, atmospheric dispersion shifts the image of the object at different wavelengths due to the wavelength-dependent index of refraction of the atmosphere. Thus, using an Atmospheric Dispersion Corrector…

Instrumentation and Methods for Astrophysics · Physics 2019-12-06 Bachar Wehbe , Alexandre Cabral , Gerardo Avila

The diffractive nature of light has limited optics and photonics to operate at scales much larger than the wavelength of light. The major challenge in scaling-down integrated photonics is how to mold the light flow below diffraction-limit…

Optics · Physics 2007-12-27 Seunghoon Han , Yi Xiong , Dentcho Genov , Zhaowei Liu , Guy Bartal , Xiang Zhang

Nonlinear computation is essential for various information processing tasks. Optical implementations are attractive because passive light propagation can manipulate high-dimensional signals with extreme throughput and parallelism; yet…

We present a general and automated approach for computing model gradients for PDE solvers built on sparse spectral methods, and implement this capability in the widely used open-source Dedalus framework. We apply reverse-mode automatic…

Numerical Analysis · Mathematics 2026-04-15 Calum S. Skene , Keaton J. Burns

In disordered materials under mechanical stress, the produced deformation can deviate from the affine one already in the elastic regime. The nonaffine contribution was observed and characterized in numerical simulations for various systems.…

Soft Condensed Matter · Physics 2021-12-17 Alesya Mikhailovskaya , Julien Fade , Jérôme Crassous

As an inversely designed artificial device, metasurface usually means densely arranged meta-atoms with complex substructures. In acoustics, those meta-atoms are usually constructed by multi-folded channels or multi-connected cavities of…

Applied Physics · Physics 2019-10-02 Huiqin Ni , Xinsheng Fang , Zhilin Hou , Yong Li , Badreddine Assouar

We present and study theoretically a new design approach for obtaining wide angle, highly efficient, all-dielectric metasurfaces. As a concrete example we focus on optimizing flat beam deflector for both the infra-red and visible spectral…

Optics · Physics 2017-04-05 Victor Egorov , Michal Eitan , Jacob Scheuer

We develop a cut finite element method (CutFEM) for convection-diffusion problems posed on mixed-dimensional domains, i.e., unions of manifolds of different dimensions arranged in a hierarchical structure where lower-dimensional components…

Numerical Analysis · Mathematics 2026-04-09 Erik Burman , Peter Hansbo , Mats G. Larson , Karl Larsson , Shantiram Mahata

A major difficulty in applying computational design methods to nanophotonic devices is ensuring that the resulting designs are fabricable. Here, we describe a general inverse design algorithm for nanophotonic devices that directly…

Optics · Physics 2017-03-28 Alexander Y. Piggott , Jan Petykiewicz , Logan Su , Jelena Vučković

The displacement field in highly non uniformly strained crystals is obtained by addition of constraints to an iterative phase retrieval algorithm. These constraints include direct space density uniformity and also constraints to the sign…

Materials Science · Physics 2009-11-11 A. A. Minkevich , M. Gailhanou , J. -S. Micha , B. Charlet , V. Chamard , O. Thomas

Incoherent light is ubiquitous, yet designing optical devices that can handle its random nature is very challenging, since directly averaging over many incoherent incident beams can require a huge number of scattering calculations. We show…

Optics · Physics 2025-04-30 Raphaël Pestourie , Wenjie Yao , Boubacar Kanté , Steven G. Johnson