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Related papers: Extended Self-similarity in Multimode Optical Fibe…

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The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its…

Optics · Physics 2015-05-05 M. B. Doost , W. Langbein , E. A. Muljarov

An early-stage version of simulation package ' ELSES' (Extra-Large-Scale Electronic-Structure calculation) is developed for electronic structure and dynamics of large systems, particularly, nm-scale or 10nm-scale systems (www.elses.jp).…

Materials Science · Physics 2009-06-16 Takeo Hoshi , Takeo Fujiwara

Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following…

Analysis of PDEs · Mathematics 2025-09-09 Yixian Gao , Shuguan Ji , Shangling Song

The nature of statistics, statistical mechanics and consequently the thermodynamics of stochastic systems is largely determined by how the number of states $W(N)$ depends on the size $N$ of the system. Here we propose a scaling expansion of…

Statistical Mechanics · Physics 2018-09-13 Jan Korbel , Rudolf Hanel , Stefan Thurner

Probabilistic amplitude shaping (PAS) is a practical means to achieve a shaping gain in optical fiber communication. However, PAS and shaping in general also affect the signal-dependent generation of nonlinear interference. This provides an…

Information Theory · Computer Science 2023-04-18 Mohammad Taha Askari , Lutz Lampe , Jeebak Mitra

The Transfer Matrix Method (TMM) is a widely used technique for modeling linear propagation of electromagnetic waves through stratified layered media. However, since its extension to inhomogeneous and nonlinear systems is not…

Optics · Physics 2025-06-23 Karol Sajnok , Michał Matuszewski

A consistent theory of electron energy-loss spectroscopy (EELS) includes two indispensable elements: (i) electronic response of the target system and (ii) quantum kinematics of probing electrons. While for the bulk materials and their…

Mesoscale and Nanoscale Physics · Physics 2017-12-12 Vladimir U. Nazarov , Vyacheslav M. Silkin , Eugene E. Krasovskii

Nonlinear optical methods are becoming ubiquitous in many areas of modern photonics. They are, however, often limited to a certain range of input parameters, such as pulse energy and average power, since restrictions arise from, for…

The unique properties of exceptional point (EP) singularities, arising from non-Hermitian physics, have unlocked new possibilities for manipulating light-matter interactions. A tailored gain-loss variation, while encircling higher-order EPs…

Spatiotemporal solitons (STSs) are localized solitary waves in both space and time that involve complex linear and nonlinear processes. Optical STSs have been observed in various media, but they are difficult to be realized in multimode…

Pattern Formation and Solitons · Physics 2016-07-20 Yao Wang , Shuo Yan , Jianqiu Xu , Yulong Tang

Elastic MicroPhase Separation (EMPS) provides a simple route to create soft materials with homogeneous microstructures by leveraging the supersaturation of crosslinked polymer networks with liquids. At low supersaturation, network…

We extend a generic class of systems which have previously been shown to spontaneously develop scaling (power law) distributions of their elementary degrees of freedom. While the previous systems were linear and exploded exponentially for…

adap-org · Physics 2009-10-28 S. Solomon , M. Levy

The study of interlayer similarity of multiplex networks helps to understand the intrinsic structure of complex systems, revealing how changes in one layer can propagate and affect others, thus enabling broad implications for…

Social and Information Networks · Computer Science 2025-05-13 Haoran Nan , Senquan Wang , Chun Ouyang , Yanchen Zhou , Weiwei Gu

The optical theorem is an important tool for scattering analysis in acoustics, electromagnetism, and quantum mechanics. We derive an extended version of the optical theorem for the scattering of elastic waves by a spherical inclusion…

Classical Physics · Physics 2017-04-26 J. P. Leao-Neto , J. H. Lopes , G. T. Silva

Disordered biopolymer gels have striking mechanical properties including strong nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long been associated with a crossover from a bending dominated to a…

Soft Condensed Matter · Physics 2016-04-12 Jingchen Feng , Herbert Levine , Xiaoming Mao , Leonard M. Sander

We consider the exactly soluble Edwards-Wilkinson Model in one dimension and demonstrate explicitly, that it is possible to construct a field, that does not depend explicitly on time, such that the corresponding time dependent correlation…

Statistical Mechanics · Physics 2007-05-23 S. F. Edwards , M. Schwartz

Exceptional points (EPs) are complex singularities of parametric linear operators where two or more eigenvalues and eigenvectors coalesce. EPs are attracting increasing interest in mechanical metamaterials due to their strong potentials for…

Applied Physics · Physics 2022-04-05 Weidi Wang , Alireza V. Amirkhizi

Recent work has discovered that large language models can develop broadly misaligned behaviors after being fine-tuned on narrowly harmful datasets, a phenomenon known as emergent misalignment (EM). However, the fundamental mechanisms…

Machine Learning · Computer Science 2025-11-05 Daniel Aarao Reis Arturi , Eric Zhang , Andrew Ansah , Kevin Zhu , Ashwinee Panda , Aishwarya Balwani

We show from numerical simulations that a limited mobility solid-on-solid model of kinetically rough surface growth exhibits extended self-similarity analogous to that found in fluid turbulence. The range over which scale-independent…

Statistical Mechanics · Physics 2009-10-30 Arindam Kundagrami , Chandan Dasgupta , P. Punyindu , S. Das Sarma

In the last decades, the blossoming of experimental breakthroughs in the domain of electron energy loss spectroscopy (EELS) has triggered a variety of theoretical developments. Those have to deal with completely different situations, from…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Hugo Lourenço-Martins , Axel Lubk , Mathieu Kociak