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Fractional differential equations (FDEs) are an extension of the theory of fractional calculus. However, due to the difficulty in finding analytical solutions, there have not been extensive applications of FDEs until recent decades. With…

Numerical Analysis · Mathematics 2020-07-20 Nirupama Bhattacharya , Gabriel A. Silva

We analyze the dispersion property of low-index thin lenses by using scalar diffraction and finite difference time domain (FDTD) methods. We compare the dispersion results obtained by using these methods with reported experimental results,…

Optics · Physics 2022-04-26 Ashfaqul Anwar Siraji , Yang Zhao

We report a new computational method based on the recursive Green's function technique for calculation of light propagation in photonic crystal structures. The advantage of this method in comparison to the conventional finite-difference…

Optics · Physics 2009-11-11 A. I. Rahachou , I. V. Zozoulenko

Among several techniques available for solving Computational Electromagnetics (CEM) problems, the Finite Difference Time Domain (FDTD) method is one of the best suited approaches when a parallelized hardware platform is used. In this paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-03 A V Choudhari , N A Pande , M R Gupta

Space group theory is pivotal in the design of nanophotonics devices, enabling the characterization of periodic optical structures such as photonic crystals. The aim of this study is to extend the application of nonsymmorphic space groups…

Optics · Physics 2025-06-02 Lida Liu , Jingwei Wang , Yuhao Jing , Songzi Lin , Zhongfei Xiong , Yuntian Chen

Disordered metasurfaces offer unique properties unattainable with periodic or ordered metasurfaces, notably the absence of deterministic interference effects at specific wavelengths and angles. In this work, we introduce a lithography-free…

In this work, we show that modulating the fractal dimension of nanoporous gold allows its effective dielectric response to be tailored over a wide spectral range of infrared wavelengths. In particular, the plasma edge and effective plasma…

Mesoscale and Nanoscale Physics · Physics 2018-03-23 Denis Garoli , Eugenio Calandrini , Angelo Bozzola , Andrea Toma , Sandro Cattarin , Michele Ortolani , Francesco De Angelis

The most popular methods for self-consistent simulation of fields interacting with charged species is using finite difference time domain (FDTD) methods together with Newton's laws of motion to evolve locations and velocities of particles.…

Computational Physics · Physics 2022-04-29 Zane D. Crawford , O. H. Ramachandran , Scott O'Connor , Daniel L. Dault , John Luginsland , B. Shanker

Chains of metallic nanoparticles sustain strongly confined surface plasmons with relatively low dielectric losses. To exploit these properties in applications,such as waveguides, the fabrication of long chains of low disorder and a thorough…

We propose a plasmonic modulator with semiconductor gain material for optoelectronic integrated circuits. We analyze properties of a finite-thickness metal-semiconductor-metal (F-MSM) waveguide to be utilized as an ultra-compact and fast…

The performance of single image super-resolution depends heavily on how to generate and complement high-frequency details to low-resolution images. Recently, diffusion-based DDPM models exhibit great potential in generating high-quality…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Xingjian Wang , Li Chai , Jiming Chen

We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped finite element methods and symmetric interior penalty…

Numerical Analysis · Mathematics 2019-01-29 S. Geevers , W. A. Mulder , J. J. W. van der Vegt

Highly lossy nature of metals has severely limited the scope of practical applications of plasmonics. The conventional approach to circumvent this limitation has been to search for new materials with more favorable dielectric properties…

Optics · Physics 2019-07-11 H. Serhat Tetikol , M. Irsadi Aksun

Fractional derivative relaxation type equations (FREs) including fractional diffusion equation and fractional relaxation equation, have been widely used to describe anomalous phenomena in physics. To utilize the characteristics of…

Numerical Analysis · Mathematics 2017-11-20 XiaoTing Liu , HongGuang Sun , Yong Zhang , Zhuojia Fu

A numerical modeling of the radiation emitted from a Luminescent dye embedded in a finite one-dimensional photonic crystal is presented. The Photonic Band Structure and the Photonic Density of States are derived using classical…

Optics · Physics 2010-12-30 J. Manzanares-Martinez , P. Castro-Garay

This paper presents the analysis of metasurfaces, here called reconfigurable intelligent surface. The analysis is performed by numerical simulations that implement the finite-difference time-domain method. The metasurface has been modeled…

Applied Physics · Physics 2023-09-25 Emanuel Colella , Luca Bastianelli , Valter Mariani Primiani , Franco Moglie

A novel explicit method to model Lorentz linear dispersive media with finite difference method are presented. The method shows an explicit method without any modification to the Leap-Frogging scheme. The polarizations of the Lorentz media…

Numerical Analysis · Mathematics 2020-07-22 Hiroshi Abe

A Discrete Fourier Transform Method (DFTM) for discrimination between the signal of neutrons and gamma rays in organic scintillation detectors is presented. The method is based on the transformation of signals into the frequency domain…

Instrumentation and Detectors · Physics 2016-11-03 M. J. Safari , F. Abbasi Davani , H. Afarideh , S. Jamili , E. Bayat

In this paper, a two-dimensional Dirichlet-to-Neumann (DtN) finite element method (FEM) is developed to analyze the scattering of SH guided waves due to an interface delamination in a bi-material plate. During the finite element analysis,…

Numerical Analysis · Mathematics 2024-07-23 Chen Yang , Ruigang Qin , Sohichi Hirose , Bin Wang , Zhenghua Qian

Here, extending our previous work on this topic, we derive a dynamic closed-form dispersion relation for a rigorous analysis of guided wave propagation along coupled parallel linear arrays of plasmonic nanoparticles, operating as optical…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Andrea Alu , Pavel A. Belov , Nader Engheta
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