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We present a numerical implementation, based on Wannier interpolation, of a Kubo-Greenwood formalism for computing the spatially dispersive optical conductivity in crystals at first order in the wave vector of light. This approach is more…

Materials Science · Physics 2025-04-21 Andrea Urru , Ivo Souza , Óscar Pozo Ocaña , Stepan S. Tsirkin , David Vanderbilt

Ray tracing is increasingly utilized in wireless system simulations to estimate channel paths. In large-scale simulations with complex environments, ray tracing at high resolution can be computationally demanding. To reduce the computation,…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Ruibin Chen , Jayadev Joy , Yaqi Hu , Mingsheng Yin , Marco Mezzavilla , Sundeep Rangan

Based on the exact numerical simulation and physical analysis, we have demonstrated all-angle single-beam left-handed behavior and superlens for both transverse electric and transverse magnetic modes in a twodimensional coated photonic…

Other Condensed Matter · Physics 2007-05-23 Xiangdong Zhang Xiangdong Zhang

Diffraction tomography aims to recover an object's scattering potential from measured wave fields. In the classical setting, the object is illuminated by plane waves from many directions, and the Fourier diffraction theorem provides a…

Numerical Analysis · Mathematics 2026-03-11 Peter Elbau , Noemi Naujoks

Phononic properties are commonly studied by calculating force constants using the density functional theory (DFT) simulations. Although DFT simulations offer accurate estimations of phonon dispersion relations or thermal properties, but for…

We investigate how the renormalization of the band gap in a planar 2D material is affected by the consideration of two nondispersive semi-infinite dielectrics, with dielectric constants $\epsilon_1$ and $\epsilon_2$, separated by a planar…

High Energy Physics - Theory · Physics 2023-06-09 Alessandra N. Braga , Wagner P. Pires , Jeferson Danilo L. Silva , Danilo T. Alves , Van Sérgio Alves

We present an algorithm for the maximization of photonic bandgaps in two-dimensional crystals. Once the translational symmetries of the underlying structure have been imposed, our algorithm finds a global maximal (and complete, if one…

Optics · Physics 2007-05-23 Prabasaj Paul , Francis C. Ndi

Engineering the dispersion relation is one of the key ingredients enabling the application of spin waves in computational elements. One way to engineer the spin-wave band structure is to create an artificial magnonic crystal, which can be…

This paper introduces an interpolation-based method, called the reconstruction approach, for nonparametric regression. Based on the fact that interpolation usually has negligible errors compared to statistical estimation, the reconstruction…

Machine Learning · Statistics 2019-11-28 Shifeng Xiong

Volumetric optical microscopy using non-diffracting beams enables rapid imaging of 3D volumes by projecting them axially to 2D images but lacks crucial depth information. Addressing this, we introduce MicroDiffusion, a pioneering tool…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Mude Hui , Zihao Wei , Hongru Zhu , Fei Xia , Yuyin Zhou

In this paper we describe an application of the finite difference method to obtain the transverse magnetic photonic band gap diagram of a photonic crystal. The strategy of this method is to formulate the Maxwell equations in finite…

Optics · Physics 2011-09-05 R. A. Gutierrez-Arenas , D. Mendoza

We outline the super-resolution reconstruction problem posed as a maximization of probability. We then introduce an interpolation method based on polygonal pixel overlap, express it as a linear operator, and use it to improve…

Computer Vision and Pattern Recognition · Computer Science 2012-10-17 Stéfan J. van der Walt , B. M. Herbst

Reconstruction of density functions and their characteristic functions by radial basis functions with scattered data points is a popular topic in the theory of pricing of basket options. Such functions are usually entire or admit an…

Mathematical Finance · Quantitative Finance 2014-04-22 A. Kushpel , J. Levesley

The spectral dispersion of light is critical in applications ranging from spectroscopy to sensing and optical communication technologies. We demonstrate that ultra-high spectral dispersion can be achieved with a finite-size surface plasmon…

Strongly Correlated Electrons · Physics 2007-05-23 V. Mikhailov , J. Elliott , G. Wurtz , P. Bayvel , A. V. Zayats

We present a new image scaling method both for downscaling and upscaling, running with any scale factor or desired size. The resized image is achieved by sampling a bivariate polynomial which globally interpolates the data at the new scale.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Donatella Occorsio , Giuliana Ramella , Woula Themistoclakis

The image degradation produced by atmospheric turbulence and optical aberrations is usually alleviated using post-facto image reconstruction techniques, even when observing with adaptive optics systems. These techniques rely on the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 A. Asensio Ramos , A. Lopez Ariste

A new method for calculation of band structure has been proposed based on the Green's function theory and local sampling. Potential energy in the Hamiltonian of Schrodinger's equation is approximated with a series of sampled Dirac delta…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Milad Khoshnegar , Sina Khorasani , Amirhossein Hosseinnia

Complex bands $\vec{k}^{\perp}(E)$ in a semiconductor crystal, along a general direction $\vec{n}$, can be computed by casting Schr\"odinger's equation as a generalized polynomial eigenvalue problem. When working with primitive lattice…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Arvind Ajoy , Kota V R M Murali , Shreepad Karmalkar

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in wave manipulation. We demonstrate inverse design of phononic dispersion using non-local interactions on one-dimensional spring-mass chains. For both…

Materials Science · Physics 2023-11-01 Arash Kazemi , Kshiteej J. Deshmukh , Fei Chen , Yunya Liu , Bolei Deng , Henry Chien Fu , Pai Wang

Design and reconstruction of 2d and 3d photonic structures are usually carried out by forward simulations combined with optimization or intuition. Reconstruction by means of layer-stripping has been applied in seismic processing as well as…

Optics · Physics 2011-05-19 Marte P. Hatlo Andresen , Harald E. Krogstad , Johannes Skaar