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The Simplified Modal Method (SMM) provides a quick and intuitive way to analyze the performance of gratings of rectangular shapes. For non-rectangular shapes, a version of SMM has been developed, but it applies only to the Littrow-mounting…

Optics · Physics 2017-03-08 Shuai Li , Changhe Zhou , George Barbastathis

Using the conventional approach of superposing plane waves, it is not possible to create a strictly isotropic turbulent magnetic field structure that obeys all physical constraints, which are (i) equal mean of all magnetic field components;…

Computational Physics · Physics 2013-06-17 R. C. Tautz

The piano soundboard transforms the string vibration into sound and therefore, its vibrations are of primary importance for the sound characteristics of the instrument. An original vibro-acoustical method is presented to isolate the…

Classical Physics · Physics 2013-10-17 Kerem Ege , Xavier Boutillon , Marc Rébillat

Modal synthesis methods are a long-standing approach for modelling distributed musical systems. In some cases extensions are possible in order to handle geometric nonlinearities. One such case is the high-amplitude vibration of a string,…

Sound · Computer Science 2025-05-16 Victor Zheleznov , Stefan Bilbao , Alec Wright , Simon King

Seismic waves due to strong earthquakes propagating in surficial soil layers may both reduce soil stiffness and increase the energy dissipation into the soil. To investigate seismic wave amplification in such cases, past studies have been…

Geophysics · Physics 2013-08-12 Maria Paola Santisi D'Avila , Luca Lenti , Jean-François Semblat

Modal expansion is an attractive technique for solving electromagnetic scattering problems. With the one set of resonator modes, calculated once and for all, any configuration of near-field or far-field sources can be obtained almost…

Optics · Physics 2020-09-08 Parry Y. Chen , Yonatan Sivan , Egor A. Muljarov

In most cases, structural health monitoring depends on the determination of the modal parameters of the first few modes of a structure. The data that are used to identify these modes by output-only methods include the structure response…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Gholamreza Jahangiri , Seyed Rasoul Nabavian , Mohammad Reza Davoodi , Bahram Navayi Neya , Seyedamin Mostafavian

Advances in data acquisition and numerical wave simulation have improved tomographic imaging techniques and results, but non-experts may find it difficult to understand which model is best for their needs. This paper is intended for these…

Geophysics · Physics 2025-01-27 Andreas Fichtner , Jeroen Ritsema , Solvi Thrastarson

Semi-analytical methods, such as rigorous coupled wave analysis, have been pivotal for numerical analysis of photonic structures. In comparison to other methods, they offer much faster computation, especially for structures with constant…

Numerical Analysis · Mathematics 2022-10-03 Ziwei Zhu , Changxi Zheng

A highly unusual pattern of strong multiple resonances for bulk electromagnetic waves is predicted and analysed numerically in thick periodic holographic gratings in a slab with the mean permittivity that is larger than that of the…

Optics · Physics 2007-05-23 D. K. Gramotnev , S. J. Goodman , T. A. Nieminen

In this paper we study the use of Virtual Element method for geomechanics. Our emphasis is on applications to reservoir simulations. The physical processes that form the reservoirs, such as sedimentation, erosion and faulting, lead to…

Numerical Analysis · Mathematics 2017-02-09 Odd Andersen , Halvor M. Nilsen , Xavier Raynaud

Natural and engineered media usually involve combinations of solid, fluid and porous layers, and accurate and stable modelling of wave propagation in such complex multilayered media is fundamental to evaluating their properties with…

Classical Physics · Physics 2023-06-13 Ming Huang , Frederic Cegla , Bo Lan

External influences such as traffic and environmental factors induce vibrations in structures, leading to material degradation over time. These vibrations result in cracks due to the material's lack of plasticity compromising structural…

Machine Learning · Computer Science 2024-07-02 Melanie Schaller , Daniel Schlör , Andreas Hotho

The rising number of bridge collapses worldwide has compelled governments to introduce predictive maintenance strategies to extend structural lifespan. In this context, vibration-based Structural Health Monitoring (SHM) techniques utilizing…

Computational Engineering, Finance, and Science · Computer Science 2024-11-11 Elisa Tomassini , Enrique García-Macías , Filippo Ubertini

Multi-channel Analysis of Surface Waves (MASW) is a seismic method employed to obtain useful information about shear-wave velocities in the near surface. A fundamental step in this methodology is the extraction of dispersion curves from…

As is well known, the sound-speed profile has significant effects on underwater acoustic sound propagation. These effects can be quantified by normal-mode models, for example. The basic case is a laterally homogeneous medium, for which the…

Atmospheric and Oceanic Physics · Physics 2016-04-11 Sven Ivansson

Weakly-nonlinear waves in a layered waveguide with an imperfect interface (soft bonding between the layers) can be modelled using coupled Boussinesq equations. We assume that the materials of the layers have close mechanical properties, in…

Pattern Formation and Solitons · Physics 2018-11-01 K. R. Khusnutdinova , M. R. Tranter

Dynamic mode decomposition (DMD) and its variants have emerged as popular methods for the post-processing of fluid dynamics' simulations in order to visualize dominant coherent structures and to reduce the practical degrees of freedom to a…

Fluid Dynamics · Physics 2023-06-02 Chris Keylock

We perform a detailed numerical study of modal and non-modal stability in oblique Couette-Poiseuille profiles, which are among the simplest examples of three-dimensional boundary layers. Through a comparison with the Orr-Sommerfeld operator…

Fluid Dynamics · Physics 2024-02-13 Muhammad Abdullah , George Ilhwan Park

Fluctuations of gravitational forces cause so-called Newtonian noise (NN) in gravitational-wave (GW) detectors which is expected to limit their low-frequency sensitivity in upcoming observing runs. Seismic NN is produced by seismic waves…