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A Finite-Difference Time-Domain (FDTD) scheme with Perfectly Matched Layers (PMLs) is considered for solving the time-dependent Schr\"{o}dinger equation, and simulate the ionization of an electron initially bound to a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Høgni C. Kamban , Sigurd S. Christensen , Thomas Søndergaard , Thomas G. Pedersen

Simulation of detecting photoelectrons using multi-level multi-electron (MLME) finite-difference time-domain (FDTD) method with an application to near-field subwavelength imaging based on semiconductor nanophotodetector (NPD) array is…

Optics · Physics 2009-02-20 Ki Young Kim , Boyang Liu , Yingyan Huang , Seng-Tiong Ho

The hybrid plasmonic waveguide consists of a high-permittivity dielectric nanofiber embedded in a low-permittivity dielectric near a metal surface. This architecture is considered as one of the most perspective candidates for long-range…

Optics · Physics 2015-06-12 S. A. Belan , S. S. Vergeles , P. E. Vorobev

In this paper, a three-dimensional Dirichlet-to-Neumann (DtN) finite element method (FEM) is developed to analyze the scattering of Lamb and SH guided waves due to a symmetric cavity defect in an isotropic infinite plate. During the finite…

Numerical Analysis · Mathematics 2025-01-09 Chen Yang , Junichi Nakaoka , Sohichi Hirose

Plasmonic devices, fundamental to modern nanophotonics, exploit resonant interactions between light and free electrons in metals to achieve enhanced light trapping and electromagnetic field confinement. However, modeling their complex,…

Computational Engineering, Finance, and Science · Computer Science 2025-08-07 Emmanuel A. Bamidele

We show that the finite-difference frequency-domain method is well-suited to study subwavelength lensing effects in left-handed materials (LHM's) and related problems. The method is efficient and works in the frequency domain, eliminating…

Optics · Physics 2007-05-23 X. Wang , Stephen K. Gray , George C. Schatz

In many laboratories, conventional bright-field transmission microscopes are available to study the structure and organization principles of fibrous tissue samples, but they usually provide only 2D information. To access the third…

This paper reviews the state of the art of periodic boundary conditions (PBCs) in Finite-Difference Time-Domain (FDTD) simulations. The mathematical principles and 3D FDTD implementation details are systematically outlined. Techniques for…

Computational Physics · Physics 2020-08-06 Aaron J. Kogon , Costas D. Sarris

We present a time domain method to solve quantum scattering by an arbitrary potential of finite range. The scattering wave function in full space can be obtained, including the near field, the mid field (i.e. Fresnel region) and the far…

Quantum Physics · Physics 2024-12-31 Kun Chen

This paper presents a novel First Order Plus Fractional Diffusive Delay (FOPFDD) model, capable of modeling delay dominant systems with high accuracy. The novelty of the FOPFDD is the Fractional Diffusive Delay (FDD) term, an exponential…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Jasper Juchem , Amélie Chevalier , Kevin Dekemele , Mia Loccufier

Accurate characterization of plasmonic materials' dispersion and efficiency remains a key challenge for next-generation nanophotonic devices. Here, we theoretically demonstrate that the plasmon dispersion relation at a metal-dielectric…

Waveguide design is crucial in developing efficient light delivery systems, requiring meticulous material selection, precise manufacturing, and rigorous performance optimization, including dispersion engineering. Here, we introduce…

Optics · Physics 2025-06-10 Yuntian Wang , Yuhang Li , Tianyi Gan , Kun Liao , Mona Jarrahi , Aydogan Ozcan

To enhance the scalability and performance of the traditional finite-difference time-domain (FDTD) methods, a three-dimensional summation-by-parts simultaneous approximation term (SBP-SAT) FDTD method is developed to solve complex…

Computational Engineering, Finance, and Science · Computer Science 2022-06-02 Yu Cheng , Hanhong Liu , Xinsong Wang , Guangzhi Chen , Xiang-Hua Wang , Xingqi Zhang , Shunchuan Yang , Zhizhang Chen

Propagating two-dimensional plasmon modes guided along silver nanoridge waveguides with triangular and inverted triangular cross sections are investigated in this paper. Mode field profiles, dispersion curves, propagation distances, and…

Optics · Physics 2012-04-18 Zeyu Pan , Junpeng Guo , Richard Soref , Walter Buchwald , Greg Sun

Numerical simulations have become an essential design tool in the field of photonics, especially for nanophotonics. In particular, 3D finite-difference-time-domain (FDTD) simulations are popular for their powerful design capabilities.…

Optics · Physics 2023-03-31 Michael Efseaff , Kyle Wynne , Krishna Narayan , Mark C. Harrison

The use of up to hundreds of antennas in massive multi-user (MU) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) poses a complexity challenge for digital predistortion (DPD) aiming to linearize the…

Signal Processing · Electrical Eng. & Systems 2024-10-25 Yibo Wu , Ulf Gustavsson , Mikko Valkama , Alexandre Graell i Amat , Henk Wymeersch

In our work we investigate the propagation of optical modes in nanoscale hybrid plasmonic waveguides. Frequency domain Maxwell equations based simulations are implemented to study properties of mixed modes in 3D. The results of our analysis…

The finite-difference time-domain (FDTD) method is employed to solve the three dimensional Maxwell equation for the situation of near-field microscopy using a sub-wavelength aperture. Experimental result on unexpected high spatial…

Optics · Physics 2009-10-31 H. Nakamura , K. Sawada , H. Kambe , T . Saiki , T. Sato

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

Numerical Analysis · Mathematics 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional diffusion-wave equation are studied. Schemes proposed previously can at most achieve temporal accuracy of order…

Numerical Analysis · Mathematics 2015-06-17 Zhibo Wang , Seakweng Vong
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