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A novel energy minimization formulation of electrostatics that allows computation of the electrostatic energy and forces to any desired accuracy in a system with arbitrary dielectric properties is presented. An integral equation for the…

Classical Physics · Physics 2009-11-13 O. I. Obolensky , T. P. Doerr , R. Ray , Yi-Kuo Yu

This paper aims to maximize optical force and torque on arbitrary micro- and nano-scale objects using numerically optimized structured illumination. By developing a numerical framework for computer-automated design of 3d vector-field…

A previous two-step hydrodynamic model calculation of angle-resolved photoemission has been improved by modeling the surface with a soft analytic function. The same ground-state potential is used to screen the photon field and to calculate…

Condensed Matter · Physics 2015-06-25 S. Natschlaeger , J. Alberich , N. Barberan , J. Bausells , R. Ruppin , C. Simo

The program package SME (Spectroscopy Made Easy), designed to perform an analysis of stellar spectra using spectral fitting techniques, was updated due to adding new functions (isotopic and hyperfine splittins) in VALD and including grids…

Instrumentation and Methods for Astrophysics · Physics 2017-10-31 N. Piskunov , T. Ryabchikova , Yu. Pakhomov , T. Sitnova , S. Alexeeva , L. Mashonkina , T. Nordlander

The problem of calculation of the reflectivity of non-ideal shock-compressed plasmas is revisited. The dielectric formalism based on the method of moments incorporating exact asymptotic forms and sum rules is applied to the new experimental…

Plasma Physics · Physics 2007-05-23 D. Ballester , A. M. Fuentes , I. M. Tkachenko

Recently, the joint design of optical systems and downstream algorithms is showing significant potential. However, existing rays-described methods are limited to optimizing geometric degradation, making it difficult to fully represent the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Zheng Ren , Jingwen Zhou , Wenguan Zhang , Jiapu Yan , Bingkun Chen , Huajun Feng , Shiqi Chen

In a recent paper, Lucco Castello et al. [arXiv:2107.03537] provided an accurate parametrization of classical one-component plasma bridge functions that was embedded in a novel dielectric scheme for strongly coupled electron liquids. Here,…

Statistical Mechanics · Physics 2021-10-11 P. Tolias , F. Lucco Castello , T. Dornheim

We describe the design of optimized multilayer dielectric coatings for precision laser interferometry. By setting up an appropriate cost function and then using a global optimizer to find a minimum in the parameter space, we were able to…

We extend recent computer-assisted design and analysis techniques for first-order optimization over structured functions--known as performance estimation--to apply to structured sets. We prove "interpolation theorems" for smooth and…

Optimization and Control · Mathematics 2024-11-20 Alan Luner , Benjamin Grimmer

A simple effective screening parameter for screened range-separated hybrid is constructed from the compressibility sum rule in the context of linear-response time-dependent Density Functional Theory. When applied to the dielectric-dependent…

Materials Science · Physics 2023-03-13 Subrata Jana , Arghya Ghosh , Lucian A. Constantin , Prasanjit Samal

The integrating sphere (IS) is an indispensable tool for measuring transmission and scattering of materials and their colorimetry, as well as other photometric tasks. The accuracy of its data depends critically on port sizes used for…

Optics · Physics 2023-09-28 A. M. Bratkovsky

The fast Ewald methods are widely used to compute the point-charge electrostatic interactions in molecular simulations. The key step that introduces errors in the computation is the particle-mesh interpolation. In this work, the optimal…

Chemical Physics · Physics 2017-10-25 Han Wang , Jun Fang , Xingyu Gao

A new numerical code, based upon a mixed FEM-Runge-Kutta method, is used for the analysis and design of plane 2-D smart structures. The code is applied to the study of arbitrarily shaped PEM plates, based on a weak formulation of their…

Mathematical Physics · Physics 2010-07-12 F. dell'Isola , E. Santini , D. Vigilante

Based on an exactly solvable model of a nearly homogeneous solid (jellium+phonons), we compute the optical dielectric function exactly at zero temperature in any number of spatial dimensions. It is argued as we have done elsewhere, that the…

Condensed Matter · Physics 2007-05-23 Girish S. Setlur , Yia-Chung Chang

The Ising spin glass is a one-parameter exponential family model for binary data with quadratic sufficient statistic. In this paper, we show that given a single realization from this model, the maximum pseudolikelihood estimate (MPLE) of…

Statistics Theory · Mathematics 2017-03-06 Bhaswar B. Bhattacharya , Sumit Mukherjee

We summarize the mathematical basis and practical hints for the explicit analytical computation of spectral sums that involve the eigenvalues of the Laplace operator in simple domains. Such spectral sums appear as spectral expansions of…

Mathematical Physics · Physics 2021-07-22 Denis S. Grebenkov

By means of a systematic expansion around the infinite-dimensional solution, we obtain an approximation scheme to compute properties of glasses in low dimensions. The resulting equations take as input the thermodynamic and structural…

Disordered Systems and Neural Networks · Physics 2016-01-25 Matthieu Mangeat , Francesco Zamponi

In spectroscopic ellipsometry, the optical properties of materials are obtained indirectly by generally assuming dielectric function and optical models. This ellipsometry analysis, which typically requires numerous model parameters, has…

We present absorption coefficient {\alpha}({\omega}), transverse dielectric function {\epsilon}({\omega}), optical conductivity {\sigma}({\omega}), and reflectance R({\omega}) calculated for an emeraldine salt conducting polymer in its…

Materials Science · Physics 2025-08-05 Renato Colle , Pietro Parruccini , Andrea Benassi , Carlo Cavazzoni

We develop a sensitivity function for the design of electron optics using an adjoint approach based on a form of reciprocity implicit in Hamilton's equations of motion. The sensitivity function, which is computed with a small number of…

Accelerator Physics · Physics 2018-07-24 Thomas M. Antonsen , David Chernin , John Petillo
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