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Nonlinear optical frequency conversion, where optical fields interact with a nonlinear medium to generate new frequencies, is a key phenomenon in modern photonic systems. However, a major challenge with these techniques lies in the…

Materials Science · Physics 2024-12-05 Simone Grillo , Elena Cannuccia , Maurizia Palummo , Olivia Pulci , Claudio Attaccalite

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

In this article, we report, for the first time, broadband multifunctional metasurfaces with more than four distinct functionalities. The constituent meta-atoms combine two different phase change materials, $\mathrm{VO_2}$ and…

We introduce a new computational approach for femtosecond pulse propagation in the transparency region of gases that permits full resolution in three space dimensions plus time while fully incorporating quantum coherent effects such as…

Optics · Physics 2012-07-02 M. Kolesik , E. M. Wright , J. Andreasen , J. M. Brown , D. R. Carlson , R. J. Jones

A homogenization approach is one of effective strategies to solve multiscale elliptic problems approximately. The finite element heterogeneous multiscale method (FEHMM) which is based on the finite element makes possible to simulate such…

Numerical Analysis · Mathematics 2022-01-27 Jaeryun Yim , Dongwoo Sheen , Imbo Sim

Materials lacking in-plane symmetry are ubiquitous in a wide range of applications such as electronics, thermoelectrics, and high-temperature superconductors, in all of which the thermal properties of the materials play a critical part.…

Applied Physics · Physics 2018-09-11 Puqing Jiang , Xin Qian , Ronggui Yang

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method…

Numerical Analysis · Mathematics 2020-07-24 Vitalii Aksenov , Alexey Vasyukov , Igor Petrov

Nonlinear optics is of crucial importance in several fields of science and technology with applications in frequency conversion, entangled-photon generation, self-referencing of frequency combs, crystal characterization, sensing, and…

Optics · Physics 2022-09-19 O. Dogadov , C. Trovatello , B. Yao , G. Soavi , G. Cerullo

Transition metal dichalcogenides (TMDs) are regarded as a possible materials platform for quantum information science and related device applications. In TMD monolayers, the dephasing time and inhomogeneity are crucial parameters for any…

In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive…

Computational Engineering, Finance, and Science · Computer Science 2020-03-11 Hirshikesh , Emilio Martínez-Pañeda , Sundararajan Natarajan

We analyze the common four types of the finite-time singularities using a generic framework of the phase portrait geometric approach. This technique requires that the Friedmann system to be written as a one dimensional autonomous system. We…

General Relativity and Quantum Cosmology · Physics 2017-11-07 W. El Hanafy , G. G. L. Nashed

This technical note describes the physical model, numerical implementation, and validation of multilevel atomic media for lasers and saturable absorbers in Meep: a free/open-source finite-difference time-domain (FDTD) software package for…

Successful phase-matching methods for Third Harmonics Generation (THG) include phase-matching in birefringent crystal and quasi-phase-matching (QPM) in crystal with periodically poled domains. However, these methods are not feasible in some…

Optics · Physics 2013-07-25 Tan Yizhou , Yang Yisheng , Liao Jiali , Zhang Ming

We developed a 2D Finite-Difference Time-Domain (FDTD) method for modeling a space-time modulated guidestar targeting wavefront shaping applications in disordered media. Space-time modulation in general (a particular example being the…

Optics · Physics 2024-08-13 Michael Raju , Baptiste Jayet , Stefan Andersson-Engels

The problem under consideration is that of time-harmonic eddy current problems in linear ferromagnetic materials surrounded by a dielectric medium with a smooth common interface. Assuming axisymmetric geometries and orthoradial axisymmetric…

Numerical Analysis · Mathematics 2023-02-22 Dima Abou El Nasser El Yafi , Victor Péron

A periodic plasmonic meta-material was studied using finite-difference time domain (FDTD) method to investigate the influence of neighboring particles on the near unity optical absorptivity. The meta-material was constructed as a silver…

Optics · Physics 2015-05-18 Terence D. Musho , Anitesh A. Lal , Zackary J. Coppens

Many important problems in astrophysics, space physics, and geophysics involve flows of (possibly ionized) gases in the vicinity of a spherical object, such as a star or planet. The geometry of such a system naturally favors numerical…

Computational Physics · Physics 2020-04-01 V. Florinski , D. S. Balsara , S. Garain , K. F. Gurski

We propose a novel finite-difference time-domain (FDTD) scheme for the solution of the Maxwell's equations in which linear dispersive effects are present. The method uses high-order accurate approximations in space and time for the…

Numerical Analysis · Mathematics 2017-06-15 Michael J. Jenkinson , Jeffrey W. Banks

Second-order nonlinear optical response allows to detect different properties of the system associated with the inversion symmetry breaking. Here, we use a second harmonic generation effect to investigate the alignment of a…

Mesoscale and Nanoscale Physics · Physics 2020-07-03 E. A. Stepanov , S. V. Semin , C. R. Woods , M. Vandelli , A. V. Kimel , K. S. Novoselov , M. I. Katsnelson

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

Analysis of PDEs · Mathematics 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili