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We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be…

Computational Engineering, Finance, and Science · Computer Science 2023-01-31 Anders Logg , Christian Valdemar Lorenzen , Carl Lundholm

This manuscript will unify inverse freeform reflector design and surface light scattering to design freeform reflectors with a scattering surface. We use microfacets, which are small, tilted mirrors superimposed on a smooth surface. We form…

In contemporary imaging systems, achieving optimal auto-focus (AF) performance hinges on precise lens positioning. Extensive research has delved into refining algorithms for determining the ideal lens position across passive, active, and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Ali Karaoglu

Motivated by applications in architecture and design, we present a novel method for increasing the developability of a B-spline surface. We use the property that the Gauss image of a developable surface is 1-dimensional and can be locally…

Graphics · Computer Science 2019-02-27 Konstantinos Gavriil , Alexander Schiftner , Helmut Pottmann

We propose an inverse method to design two-dimensional freeform imaging systems. We present the mathematical model to design a parallel-to-point double-reflector imaging system using inverse methods from nonimaging optics. We impose an…

Recent advances in photonic optimization have enabled calculation of performance bounds for a wide range of electromagnetic objectives, albeit restricted to single-material systems. Motivated by growing theoretical interest and fabrication…

Conventional phased-array metasurfaces utilize resonant nanoparticles or nanowaveguides to specify spatially-dependent amplitude and phase responses to light. In nearly all these implementations, subwavelength-scale elements are stitched…

Optics · Physics 2017-10-17 Jianji Yang , David Sell , Jonathan A. Fan

Numerical simulation of complex optical structures enables their optimization with respect to specific objectives. Often, optimization is done by multiple successive parameter scans, which are time consuming and computationally expensive.…

Computational Physics · Physics 2017-07-27 P. -I. Schneider , X. Garcia Santiago , C. Rockstuhl , S. Burger

Lens design uses a calculation of the lens' surfaces that permit to obtain an image from a given object. A set of general rules and laws permits to calculate the essential points of the optical system such as distances, thickness, pupils,…

Optics · Physics 2019-12-13 Juan Camilo Valencia-Estrada , Jorge Garcia-Marquez

The development of active metasurface systems, such as lasing metasurfaces, requires the optimization of multiple modes at the absorption and lasing wavelength bands, including their quality factor, mode profile and angular dispersion.…

This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Lukas C. Høghøj , Cian Conlan-Smith , Ole Sigmund , Casper Schousboe Andreasen

We consider the shape optimization of flow fields for electrochemical cells. Our goal is to improve the cell by modifying the shape of its flow field. To do so, we introduce simulation models of the flow field with and without the porous…

Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent significant advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimisation remains a…

Soft Condensed Matter · Physics 2019-10-16 Jack Panter , Yonas Gizaw , Halim Kusumaatmaja

The multiresponse surface problem is modelled as one of multiobjective stochastic optimisation, and diverse solutions are proposed. Several crucial differences are highlighted between this approach and others that have been proposed.…

Statistics Theory · Mathematics 2011-05-17 Jose A. Diaz-Garcia , Mahdi Bashiri

The fast-growing field of soft matter research requires increasingly sophisticated tools for experimental studies. One of the oldest and most widely used tools to study soft matter systems is optical microscopy. Recent advances in optical…

Soft Condensed Matter · Physics 2011-08-17 Taewoo Lee , Bohdan Senyuk , Rahul P. Trivedi , Ivan I. Smalyukh

We develop an analytical framework for self-stabilizing optical manipulation of freestanding metasurfaces in three dimensions. Our framework reveals that the challenging problem of stabilization against translational and rotational…

Optics · Physics 2021-06-22 Avinash Kumar , Daniel Kindem , Ognjen Ilic

We propose a novel iterative method for optimally placing and orienting multiple cameras in a 3D scene. Sample applications include improving the accuracy of 3D reconstruction, maximizing the covered area for surveillance, or improving the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Maria L. Hänel , Carola-B. Schönlieb

As a two-dimensional planar material with low depth profile, a metasurface can generate non-classical phase distributions for the transmitted and reflected electromagnetic waves at its interface. Thus, it offers more flexibility to control…

Fluid-structure interactions are a widespread phenomenon in nature. Although their numerical modeling have come a long way, the application of numerical design tools to these multiphysics problems is still lagging behind. Gradient-based…

Numerical Analysis · Mathematics 2021-09-27 Mohamed Abdelhamid , Aleksander Czekanski

Precise simultaneous control of both angular and spatial light-field distributions remains a longstanding challenge in optical design, often requiring complex multi-element configurations. In this work, we propose a compact single-lens…

Optics · Physics 2026-04-02 Yuou Sun , Bailin Deng , Juyong Zhang