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Related papers: PyMieDiff: A differentiable Mie scattering library

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The take-home message of this paper is that solving optimal control problems can be computationally straightforward, provided that differentiable partial differential equation (PDE) solvers are available. Although this might seem to be a…

Optimization and Control · Mathematics 2024-08-23 Denis Khimin , Julian Roth , Alexander Henkes , Thomas Wick

Light scattering in disordered media has been studied extensively due to its prevalence in natural and artificial systems [1]. In the field of photonics most of the research has focused on understanding and mitigating the effects of…

Optics · Physics 2017-03-30 Brandon Redding , Seng Fatt Liew , Raktim Sarma

We present a linear coordinate transform to expand the solution of scattering and emission problems into a basis of forward and backward directional vector harmonics. The transform provides intuitive algebraic and geometric interpretations…

Optics · Physics 2023-03-08 Parker R. Wray , Harry A. Atwater

A novel space-discretized Finite Differences-based model reduction, introduced in (Liu,Guo,2020) is extended to the partial differential equations (PDE) model of a multi-layer Mead-Marcus-type sandwich beam with clamped-free boundary…

Optimization and Control · Mathematics 2023-06-22 Ahmet Ozkan Ozer , Ahmet Kaan Aydin

The reconstruction of a smooth field onto a fixed grid is a necessary step for direct comparisons to various real-world observations. Projecting SPH data onto a fixed grid becomes challenging in adaptive environments, where some particles…

Astrophysics of Galaxies · Physics 2021-06-14 Josh Borrow , Ashley J. Kelly

Scattering-type scanning near-field optical microscopy (s-SNOM) is a powerful technique for extreme subwavelength imaging and spectroscopy, with around 20 nm spatial resolution. But quantitative relationships between experiment and material…

The classical Mie theory - electromagnetic radiation scattering by the homogeneous spherical particles - is considered in the epsilon near zero limits separately for the materials of the particles and the surrounding medium. The maxima of a…

Optics · Physics 2013-05-29 M. Tagviashvili

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

Diffeomorphic matching (only one of several names for this technique) is a technique for non-rigid registration of curves and surfaces in which the curve or surface is embedded in the flow of a time-series of vector fields. One seeks the…

Numerical Analysis · Mathematics 2009-11-13 C. J. Cotter

In recent years, deep generative models have attracted increasing interest due to their capacity to model complex distributions. Among those models, variational autoencoders have gained popularity as they have proven both to be…

Machine Learning · Computer Science 2023-07-21 Clément Chadebec , Louis J. Vincent , Stéphanie Allassonnière

This paper introduces discrete-holomorphic Perfectly Matched Layers (PMLs) specifically designed for high-order finite difference (FD) discretizations of the scalar wave equation. In contrast to standard PDE-based PMLs, the proposed method…

Numerical Analysis · Mathematics 2024-05-30 Vicente A. Hojas , Carlos Pérez-Arancibia , Manuel A. Sánchez

Manufacturing of particulate products across many industries relies on accurate measurements of particle size distributions in dispersions or powders. Laser diffraction (or small angle light scattering) is commonly used, usually off-line,…

Soft Condensed Matter · Physics 2016-10-18 Okpeafoh S. Agimelen , Anthony J. Mulholland , Jan Sefcik

Recently, Differentiable Ray Tracing has been successfully applied in the field of wireless communications for learning radio materials or optimizing the transmitter orientation. However, in the frame of gradient based optimization,…

Signal Processing · Electrical Eng. & Systems 2024-04-30 Jerome Eertmans , Laurent Jacques , Claude Oestges

Transmission matrices are valuable tools to describe and control light transport through scattering media. There are only a few cases where the transmission matrix can be compared to microscopic theories. Here we measure the…

Optics · Physics 2026-03-19 Xiaomeng Sui , Allard Mosk

PyG (PyTorch Geometric) has evolved significantly since its initial release, establishing itself as a leading framework for Graph Neural Networks. In this paper, we present Pyg 2.0 (and its subsequent minor versions), a comprehensive update…

Hyperspectral unmixing is an important remote sensing task with applications including material identification and analysis. Characteristic spectral features make many pure materials identifiable from their visible-to-infrared spectra, but…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 John Janiczek , Parth Thaker , Gautam Dasarathy , Christopher S. Edwards , Philip Christensen , Suren Jayasuriya

Exploring the interaction of light with time-varying media is an intellectual challenge that, in addition to fundamental aspects, provides a pathway to multiple promising applications. Time modulation constitutes here a fundamental handle…

We develop a structure-preserving computational framework for acoustic wave scattering by moving objects, comprising a new PML-domain-embedding model and a compatible numerical approximation. The model couples a perfectly matched layer…

Numerical Analysis · Mathematics 2026-05-28 Xuelong Gu , Qi Wang

Linear scattering processes are usually described as a function of the parameters of the incident beam. The wavelength, the intensity distribution, the polarization or the phase are among them. Here, we discuss and experimentally…

Recently, a lot of papers proposed to use neural networks to approximately solve partial differential equations (PDEs). Yet, there has been a lack of flexible framework for convenient experimentation. In an attempt to fill the gap, we…

Machine Learning · Computer Science 2019-09-26 Alexander Koryagin , Roman Khudorozkov , Sergey Tsimfer