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We present a multimode Hamiltonian formulation for the problem of opto-acoustic interactions in optical waveguides. We establish a Hamiltonian representation of the acoustic field and then introduce a full system with a simple opto-acoustic…

Optics · Physics 2016-05-04 J. E. Sipe , M. J. Steel

The proper orthogonal decomposition (POD) is a powerful classical tool in fluid mechanics used, for instance, for model reduction and extraction of coherent flow features. However, its applicability to high-resolution data, as produced by…

Fluid Dynamics · Physics 2020-11-11 Philipp Krah , Thomas Engels , Kai Schneider , Julius Reiss

The contour integration technique applied to calculate the optical conductivity tensor at finite temperatures in the case of layered systems within the framework of the spin-polarized relativistic screened Korringa-Kohn-Rostoker band…

Materials Science · Physics 2009-10-31 A. Vernes , L. Szunyogh , P. Weinberger

The calculations of electronic transport coefficients and optical properties require a very dense interpolation of the electronic band structure in reciprocal space that is computationally expensive and may have issues with band crossing…

We introduce a novel technique for constructing higher-order variational integrators for Hamiltonian systems of ODEs. In particular, we are concerned with generating globally smooth approximations to solutions of a Hamiltonian system. Our…

Numerical Analysis · Mathematics 2015-03-17 Melvin Leok , Tatiana Shingel

We present a systematic derivation of the Heisenberg evolution of a trilinear bosonic Hamiltonian system in presence of a strong drive beyond the standard approximation of a classical, undepleted driving field. We employ a perturbative…

Quantum Physics · Physics 2026-04-01 Hanzhong Zhang , Avi Pe'er

Boltzmann transport calculations based on band structures generated with density functional theory (DFT) are often used in the discovery and analysis of thermoelectric materials. In standard implementations, such calculations require dense…

Materials Science · Physics 2018-07-04 Kristian Berland , Clas Persson

Achieving nonreciprocal light propagation in photonic circuits is essential to control signal crosstalk and optical back-scatter. However, realizing high-fidelity nonreciprocity in low-loss integrated photonic systems remains challenging.…

Applied Physics · Physics 2018-10-04 Eric A. Kittlaus , Nils T. Otterstrom , Prashanta Kharel , Shai Gertler , Peter T. Rakich

We present a frequency-domain system identification scheme based on barycentric interpolation and weight optimization. The scheme is related to the Adaptive Antoulas-Anderson (AAA) algorithm for model reduction, but uses an adaptive…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Jared Jonas , Bassam Bamieh

We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO) schemes for hyperbolic systems of conservation laws. The new schemes employ the recently proposed local characteristic decomposition based central-upwind…

Numerical Analysis · Mathematics 2022-11-15 Alina Chertock , Shaoshuai Chu , Alexander Kurganov

Computing accurate splines of degree greater than three is still a challenging task in today's applications. In this type of interpolation, high-order derivatives are needed on the given mesh. As these derivatives are rarely known and are…

Numerical Analysis · Mathematics 2023-03-20 A. Pepin , S. Léger , N. Beaudoin

We calculate the optical sum associated with the in-plane conductivity of a graphene bilayer. A bilayer asymmetry gap generated in a field-effect device can split apart valence and conduction bands, which otherwise would meet at two K…

Mesoscale and Nanoscale Physics · Physics 2008-04-08 L. Benfatto , S. G. Sharapov , J. P. Carbotte

As a promising approach for optical nonreciprocity without magnetic materials, optomechanically induced nonreciprocity has great potential for all-optical controllable isolators and circulators on chips. However, as a very important issue…

Quantum Physics · Physics 2024-03-28 Ning Hu , Zhi-Xiang Tang , Xun-Wei Xu

We consider an inverse problem of location identification of small conductivity inhomogeneity inside a conductor via boundary measurements which occurs in the EIT (Electrical Impedance Tomography). For this purpose, we derive topological…

Classical Physics · Physics 2013-08-20 Won-Kwang Park

A novel and simple approach to optical wavelength measurement is presented in this paper. The working principle is demonstrated using a tunable waveguide micro ring resonator and single photodiode. The initial calibration is done with a set…

The subdiffusion model that involves a Caputo fractional derivative in time is widely used to describe anomalously slow diffusion processes. In this work we aim at recovering the locations of small conductivity inclusions in the model from…

Numerical Analysis · Mathematics 2025-05-29 Jiho Hong , Bangti Jin , Zhizhang Wu

Accurate and efficient predictions of the quasiparticle properties of complex materials remain a major challenge due to the convergence issue and the unfavorable scaling of the computational cost with respect to the system size.…

Materials Science · Physics 2020-07-14 Weiyi Xia , Weiwei Gao , Gabriel Lopez-Candales , Yabei Wu , Wei Ren , Wenqing Zhang , Peihong Zhang

We propose a computational scheme for the ab initio calculation of Wannier functions (WFs) for correlated electronic materials. The full-orbital Hamiltonian H is projected into the WF subspace defined by the physically most relevant…

We develop a computational workflow for high-throughput Wannierization of density functional theory (DFT) based electronic band structure calculations. We apply this workflow to 1771 materials, and we create a database with the resulting…

Materials Science · Physics 2020-07-03 Kevin F. Garrity , Kamal Choudhary

In this work, we introduce a selective and scalable extension of the multi-step Rayleigh-Schrodinger and Brillouin-Wigner perturbative scheme (see arXiv:2408.16505), designed to efficiently access the low-energy spectrum of molecular…

Chemical Physics · Physics 2025-09-30 Oussama Bindech , Saad yalouz , Vincent Robert