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The nonlinear coefficient {\gamma} of the step-index single-mode fiber (SMF) is inversely proportional to the effective area of that fiber. An analytical expression for the effective area of the hybrid HE11-mode of the SMF is derived for…

光学 · 物理学 2023-04-10 W. Astar

This paper concerns the quantitative step of the medical imaging modality Thermo-acoustic Tomography (TAT). We model the radiation propagation by a system of Maxwell's equations. We show that the index of refraction of light and the…

偏微分方程分析 · 数学 2015-06-17 Guillaume Bal , Ting Zhou

We present a reduced basis approach to solve the convected Helmholtz equation with several physical parameters. Physical parameters characterize the aeroacoustic wave propagation in terms of the wave and Mach numbers. We compute solutions…

数值分析 · 数学 2015-06-10 Myoungnyoun Kim , Imbo Sim

We develop an effective computational tool for simulating the scattering of 1D waves by a composite layer architected in an otherwise homogeneous medium. The layer is designed as the union of segments cut from various mother periodic media,…

计算物理 · 物理学 2025-11-19 Prasanna Salasiya , Bojan B. Guzina

A multifield asymptotic homogenization technique for periodic thermo-diffusive elastic materials is provided in the present study. Field equations for the first-order equivalent medium are derived and overall constitutive tensors are…

流体动力学 · 物理学 2020-02-27 Francesca Fantoni , Andrea Bacigalupo

We implement a robust, globally convergent root search method for transcendental equations guaranteed to locate all complex roots within a specified search domain, based on Cauchy's residue theorem. Although several implementations of the…

计算物理 · 物理学 2017-04-05 Parry Y. Chen , Yonatan Sivan

Optical modes in anisotropic slab waveguides with topological and chiral magnetoelectric effects are investigated analytically, by deriving the closed-form characteristic equations of the modes and hence computing the dispersion-diagrams.…

光学 · 物理学 2016-05-04 Nahid Talebi

We compute the exact and limiting smallest eigenvalue distributions for two classes of $\beta$-Jacobi ensembles not covered by previous studies. In the general $\beta$ case, these distributions are given by multivariate hypergeometric…

概率论 · 数学 2011-08-16 Ioana Dumitriu

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

光学 · 物理学 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen

We present a finite-element simulation tool for calculating light fields in 3D nano-optical devices. This allows to solve challenging problems on a standard personal computer. We present solutions to eigenvalue problems, like Bloch-type…

光学 · 物理学 2009-05-28 S. Burger , R. Klose , A. Schaedle , F. Schmidt , L. Zschiedrich

We consider the problem of optical tomographic imaging in the mesoscopic regime where the photon mean free path is of order of the system size. Within the accuracy of the single-scattering approximation to the radiative transport equation,…

医学物理 · 物理学 2009-04-29 Lucia Florescu , John C. Schotland , Vadim A. Markel

A novel type of a plasmonic waveguide has been proposed featuring an "open" design that is easy to manufacture, simple to excite and that offers a convenient access to a plasmonic mode. Optical properties of photonic bandgap (PBG) plasmonic…

We investigate the nonlinear propagation of light in graded-index multimode fiber, utilizing it as an optical computing unit, and quantify how it employs waveguide modes to process information. Using a time-dependent spatiotemporal…

光学 · 物理学 2025-12-12 Firdevs Yüce , Bora Çarpınlıoğlu , Uğur Teğin

We develop a modal method that solves Maxwell's equations in the presence of the linearized hydrodynamic correction. Using this approach, it is now possible to calculate the full diffraction for structures with period of the order of the…

光学 · 物理学 2013-11-15 Avner Yanai , N. Asger Mortensen , Uriel Levy

We propose a hybrid approach to solve the high-frequency Helmholtz equation with point source terms in smooth heterogeneous media. The method is based on the ray-based finite element method (ray-FEM), whose original version can not handle…

数值分析 · 数学 2018-07-04 Jun Fang , Jianliang Qian , Leonardo Zepeda-Núñez , Hongkai Zhao

Angle-resolved photoemission spectra are calculated microscopically for the two-dimensional attractive Hubbard model. A system of self-consistent T-matrix equations are solved numerically in the real-time domain. The single-particle…

强关联电子 · 物理学 2009-10-31 P. E. Kornilovitch , Bumsoo Kyung

We consider the Maxwell's system for a periodic array of dielectric `fibers' embedded into a `matrix', with respective electric permittivities $\epsilon_0$ and $\epsilon_1$, which serves as a model for cladding in photonic crystal fibers…

数学物理 · 物理学 2014-11-04 Shane Cooper , Ilia Kamotski , Valery Smyshlyaev

We compute how elastic deformations of optical fibers affect light propagation therein. Specifically, we consider differences in wave-guiding properties of straight fibers subject to different external temperatures, pressures, and…

光学 · 物理学 2025-02-12 Elisabeth Steininger , Thomas Mieling , Piotr T. Chruściel

A new method for examining the possible space-time variation of the fine structure constant ($\alpha$) is proposed. The technique uses a relatively simple measurement with an optical resonator to compare atom-stabilized optical frequency…

原子物理 · 物理学 2007-05-23 J. R. Torgerson

In the scalar light model given by Helmholtz' equation in R^{1+d} , we consider the transformation of an initial scene (a hologram) in {0}xR^d by an arbitrary affine transformation (which can be viewed as a propagation into a tilted…

信号处理 · 电气工程与系统科学 2025-06-11 Patrick Gioia , San Vu Ngoc