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Fast surface integral equation (SIE) solvers seem to be ideal approaches for simulating 3-D nanophotonic devices, as these devices generate fields both in an interior channel and in the infinite exterior domain. However, many devices of…

Computational Physics · Physics 2015-05-18 Lei Zhang , Jung Hoon Lee , Ardavan Oskooi , Amit Hochman , Jacob K. White , Steven G. Johnson

Recent advancements in computational inverse design have begun to reshape the landscape of structures and techniques available to nanophotonics. Here, we outline a cross section of key developments at the intersection of these two fields:…

Integrated photonics is increasingly demanded in applications such as large-scale data centers, intelligent sensing, and next-generation wireless communications, where compact, multifunctional, and energy-efficient components are essential.…

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

Optimization and Control · Mathematics 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

Scalable photonic optimization holds the promise of significantly enhancing the performance of diffractive lenses across a wide range of photonic applications. However, the high computational cost of conventional full three-dimensional…

Optics · Physics 2025-09-26 Marco Gerhardt , Sungkun Hong , Moosung Lee

Previously proposed designs of integrated photonic devices have used the intuitive brute force approach or optimization methods that employ parameter search algorithms. However, a small parameter space and poor exploitation of the…

Applied Physics · Physics 2019-02-28 Yusuf A. Yilmaz , Ahmet M. Alpkilic , Aydan Yeltik , Hamza Kurt

We propose a trainable-by-parts surrogate model for solving forward and inverse parameterized nonlinear partial differential equations. Like several other surrogate and operator learning models, the proposed approach employs an encoder to…

Machine Learning · Computer Science 2025-08-07 Yifei Zong , Alexandre M. Tartakovsky

Photonic innovation is becoming ever more important in the modern world. Optical systems are dominating shorter and shorter communications distances, LED's are rapidly emerging for a variety of applications, and solar cells show potential…

Optics · Physics 2013-08-02 Owen D. Miller

The integral equation approach to partial differential equations (PDEs) provides significant advantages in the numerical solution of the incompressible Navier-Stokes equations. In particular, the divergence-free condition and boundary…

Numerical Analysis · Mathematics 2020-02-26 Ludvig af Klinteberg , Travis Askham , Mary Catherine Kropinski

Meta-optics promises compact, high-performance imaging and color routing. However, designing high-performance structures is a high-dimensional optimization problem: mapping a desired optical output back to a physical 3D structure requires…

Machine Learning · Computer Science 2026-04-21 Chanik Kang , Hyewon Suk , Haejun Chung

We introduce an inverse design framework based on artificial neural networks, genetic algorithms, and tight-binding calculations, capable to optimize the very large configuration space of nanoelectronic devices. Our non-linear optimization…

Mesoscale and Nanoscale Physics · Physics 2021-02-25 Kevin Ryczko , Pierre Darancet , Isaac Tamblyn

We develop a rapid and accurate contour method for the solution of time-fractional PDEs. The method inverts the Laplace transform via an optimised stable quadrature rule, suitable for infinite-dimensional operators, whose error decreases…

Numerical Analysis · Mathematics 2022-02-09 Matthew J. Colbrook , Lorna J. Ayton

We demonstrate full integration of vertical optical ring resonators with silicon nanophotonic waveguides on silicon-on-insulator substrates to accomplish a significant step towards 3D photonic integration. The on-chip integration is…

We present a method of memory footprint reduction for FFT-based, electromagnetic (EM) volume integral equation (VIE) formulations. The arising Green's function tensors have low multilinear rank, which allows Tucker decomposition to be…

Numerical Analysis · Computer Science 2020-01-08 Ilias I. Giannakopoulos , Mikhail S. Litsarev , Athanasios G. Polimeridis

Future technologies underpinning high-performance optical communications, ultrafast computations and compact biosensing will rely on densely packed reconfigurable optical circuitry based on nanophotonics. For many years, plasmonics was…

Optics · Physics 2020-12-02 Pavel Tonkaev , Yuri Kivshar

Analog photonic solutions offer unique opportunities to address complex computational tasks with unprecedented performance in terms of energy dissipation and speeds, overcoming current limitations of modern computing architectures based on…

Typically, photonic waveguides designed for nonlinear frequency conversion rely on intuitive and established principles, including index guiding and band gap engineering, and are based on simple shapes with high degrees of symmetry. We show…

Optics · Physics 2017-11-22 Chawin Sitawarin , Weiliang Jin , Zin Lin , Alejandro W. Rodriguez

A fully integrated quantum optical technology requires active quantum systems incorporated into resonant optical microstructures and inter-connected in three dimensions via photonic wires. Nitrogen vacancy-centres (NV-centres) in diamond…

This paper introduces InverseMatrixVT3D, an efficient method for transforming multi-view image features into 3D feature volumes for 3D semantic occupancy prediction. Existing methods for constructing 3D volumes often rely on depth…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Zhenxing Ming , Julie Stephany Berrio , Mao Shan , Stewart Worrall

In this paper, we propose a data-driven model reduction method to solve parabolic inverse source problems efficiently. Our method consists of offline and online stages. In the off-line stage, we explore the low-dimensional structures in the…

Numerical Analysis · Mathematics 2021-10-18 Zhongjian Wang , Wenlong Zhang , Zhiwen Zhang