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The study of the scattering of electromagnetic waves by a linear isotropic medium with planar symmetry can be reduced to that of their TE and TM modes. For situations where the medium consists of parallel homogeneous slabs, one may use the…

Quantum Physics · Physics 2025-03-25 Farhang Loran , Ali Mostafazadeh

Modelling ultra-low-noise far-infrared grating spectrometers has become crucial for the next generation of far-infrared space observatories. Conventional techniques are awkward to apply because of the partially coherent form of the incident…

Instrumentation and Methods for Astrophysics · Physics 2022-06-29 B. N. R. Lap , S. Withington , W. Jellema , D. A. Naylor

We present an extensive formulation of the inverse grating problem for exural waves, in which the energy of each diffracted mode is selected and the grating configuration is then obtained by solving a linear system of equations. The grating…

Applied Physics · Physics 2019-01-16 Pawel Packo , Andrew N. Norris , Daniel Torrent

Multifocal microscopy (MFM) offers high-speed three-dimensional imaging through the simultaneous image capture from multiple focal planes. Conventional MFM systems use a fabricated grating in the emission path for a single emission…

Biological Physics · Physics 2019-07-31 M. Junaid Amin , Sabine Petry , Haw Yang , Joshua W. Shaevitz

This paper proposes a reduced-rank scheme for adaptive beamforming based on the constrained joint iterative optimization of filters. We employ this scheme to devise two novel reduced-rank adaptive algorithms according to the constant…

Information Theory · Computer Science 2013-03-08 Lei Wang , Rodrigo C. de Lamare

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

Optimization and Control · Mathematics 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

Stable, accurate, divergence-free simulation of magnetized supersonic turbulence is a severe test of numerical MHD schemes and has been surprisingly difficult to achieve due to the range of flow conditions present. Here we present a new,…

Astrophysics of Galaxies · Physics 2012-02-20 Sergey D. Ustyugov , Mikhail V. Popov , Alexei G. Kritsuk , Michael L. Norman

The relative root mean squared errors (RMSE) of nonparametric methods for spectral estimation is compared for microwave scattering data of plasma fluctuations. These methods reduce the variance of the periodogram estimate by averaging the…

Applications · Statistics 2019-11-15 Kurt S. Riedel , Alexander Sidorenko , David J. Thomson

The existence of phase resonances in obliquely illuminated, perfectly conducting compound gratings is investigated. The diffraction problem of a p-polarized plane wave impinging on the structure is solved using the modal approach. The…

The alternating direction method of multipliers (ADMM) is a common optimization tool for solving constrained and non-differentiable problems. We provide an empirical study of the practical performance of ADMM on several nonconvex…

Optimization and Control · Mathematics 2016-12-13 Zheng Xu , Soham De , Mario Figueiredo , Christoph Studer , Tom Goldstein

High-efficient direct numerical methods are currently in demand for optimization procedures in the fields of both conventional diffractive and metasurface optics. With a view of extending the scope of application of the previously proposed…

Computational Physics · Physics 2019-09-04 Alexey A. Shcherbakov

This paper presents a computation method of generalized scattering matrix (GSM) based on integral equations and the method of moments (MoM), specifically designed for antennas excited through waveguide ports. By leveraging two distinct…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

The Transfer Matrix Method is a practical approach for modeling plane wave propagation in one-dimensional waveguides. Its simplicity makes it especially attractive for accounting for viscothermal losses, enabling realistic simulations of…

Classical Physics · Physics 2025-08-21 Nathan Szwarcberg , Tom Colinot , Christophe Vergez , Michaël Jousserand

The spin-polarized scanning tunnelling microscope (STM) can in principle resolve not only the electronic, but also the magnetic surface structure. We model recent STM measurements achieving magnetic resolution on the atomic scale by a…

Materials Science · Physics 2009-11-07 W. A. Hofer , A. J. Fisher

In undergraduate optics courses, diffraction gratings are studied extensively, generally within the scalar approximation. When the vector nature of light is taken into account, so-called polarization diffraction gratings have been proposed,…

Optics · Physics 2026-03-13 Massimo Santarsiero , J. C. G. de Sande , Gemma Piquero

Hidden Markov Models (HMMs) can be accurately approximated using co-occurrence frequencies of pairs and triples of observations by using a fast spectral method in contrast to the usual slow methods like EM or Gibbs sampling. We provide a…

Machine Learning · Statistics 2012-03-29 Dean P. Foster , Jordan Rodu , Lyle H. Ungar

The investigation into the scattering of plane waves by a periodic array of parallel cylinders utilizes the method of cylindrical wave decomposition, thereby reducing the problem complexity to a series of linear algebraic equations. This…

Optics · Physics 2024-06-21 A. S. Bereza , A. E. Chernyavsky , S. V. Perminov , D. A. Shapiro

Scintillator detector response modelling has become an essential tool in various research fields such as particle and nuclear physics, astronomy or geophysics. Yet, due to the system complexity and the requirement for accurate electron…

Instrumentation and Detectors · Physics 2023-12-05 David Breitenmoser , Francesco Cerutti , Gernot Butterweck , Malgorzata Magdalena Kasprzak , Sabine Mayer

Ensuring thermal comfort is essential for the well-being and productivity of individuals in built environments. Of the various thermal comfort indicators, the mean radiant temperature (MRT) is very challenging to measure. Most common…

Robotics · Computer Science 2024-10-15 Wei Liang , Yiting Zhang , Ji Zhang , Erica Cochran Hameen

The diffraction of electromagnetic plane waves by a rectangular grating formed by discrete steps in the interface of a homogeneous, isotropic, linear, negative phase--velocity (negative index) material with free space is studied using the…

Optics · Physics 2009-11-11 Ricardo A. Depine , Akhlesh Lakhtakia , David R. Smith