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This thesis explores the application of Plane Wave Discontinuous Galerkin (PWDG) methods for the numerical simulation of electromagnetic scattering by periodic structures. Periodic structures play a pivotal role in various engineering and…

Numerical Analysis · Mathematics 2023-12-20 Armando Maria Monforte

The interaction between the electromagnetic field and plasmonic nanostructures leads to both the strong linear response and inherent nonlinear behavior. In this paper, a time-domain hydrodynamic model for describing the motion of electrons…

Optics · Physics 2017-09-19 Ming Fang , Zhixiang Huang , Wei E. I. Sha , Xianliang Wu

Since numerical computing with MATLAB offers a wide variety of advantages, such as easier developing and debugging of computational codes rather than lower-level languages, the popularity of this tool is significantly increased in the past…

Plasma Physics · Physics 2022-11-11 Shayan Dodge , Mojtaba Shafiee , Babak Shokri

In this research work, let us focus on the construction of numerical scheme based on radial basis functions finite difference (RBF-FD) method combined with the Laplace transform for the solution of fractional order dispersive wave…

Numerical Analysis · Mathematics 2025-08-15 Hameed Ullah Jan , Marjan Uddin , Irshad Ali Shah , Salam Ullah Khan

We consider integrated circuits with semiconductors modeled by modified nodal analysis and drift-diffusion equations. The drift-diffusion equations are discretized in space using mixed finite element method. This discretization yields a…

Numerical Analysis · Mathematics 2010-03-03 Michael Hinze , Martin Kunkel

The timestep of the Finite-Difference Time-Domain method (FDTD) is constrained by the stability limit known as the Courant-Friedrichs-Lewy (CFL) condition. This limit can make FDTD simulations quite time consuming for structures containing…

Computational Engineering, Finance, and Science · Computer Science 2016-06-29 Xihao Li , Costas D. Sarris , Piero Triverio

We demonstrate dispersion tailoring by coupling the even and the odd modes in a line-defect photonic crystal waveguide. Coupling is determined ab-initio using group theory analysis, rather than by trial and error optimisation of the design…

Optics · Physics 2015-06-09 Pierre Colman , Sylvain Combrié , Gaëlle Lehoucq , Alfredo De Rossi

In nanoscale photonic devices, the demand for multifunctionality from metasurface 2D optics increases rapidly. To explore fine-tuning in the design metric, we reinvestigated the trapezoid shape copper metasurface with Finite-Difference…

Optics · Physics 2022-11-10 Hosna Sultana

We proposed a provably stable FDTD subgridding method for accurate and efficient transient electromagnetic analysis. In the proposed method, several field components are properly added to the boundaries of Yee's grid to make sure that the…

Computational Engineering, Finance, and Science · Computer Science 2021-10-19 Yu Cheng , Yuhui Wang , Hanhong Liu , Lilin Li , Xiang-Hua Wang , Shunchuan Yang , Zhizhang , Chen

Propagating two-dimensional plasmon modes guided by elliptical cross section silver nanoridges are investigated in this paper. Mode field profiles, dispersion curves, propagation distances, and figure-of-merits of the plasmon ridge modes…

Optics · Physics 2012-07-04 Zeyu Pan , Junpeng Guo , Richard Soref , Walter Buchwald

Time domain simulations are crucial for analyzing transient behavior and broadband responses in electromagnetic problems. However, conventional numerical methods such as finite element method in time domain (FEMTD) and finite difference…

Computational Physics · Physics 2025-02-19 Ruth Medeiros , Valentín de la Rubia

This paper presents the ultra-wideband (UWB) on-body radio channel modelling using a sub-band Finite-Difference Time-Domain (FDTD) method and a model combining the uniform geometrical theory of diffraction (UTD) and ray tracing (RT). In the…

Other Condensed Matter · Physics 2015-06-25 Yan Zhao , Akram Alomainy , Yang Hao , Clive Parini

Unidirectional wave propagation has emerged as a key concept in the dynamics of non-reciprocal mechanical and acoustic metamaterials. This work investigates two fundamentally distinct strategies for achieving directional wave propagation in…

Applied Physics · Physics 2026-05-29 João H. S. Brandão , Danilo Braghini , José R. F. Arruda

Scattering properties of a single plasm on interacting with three non-equally spaced quantum dots coupled to one-dimensional surface plasmonic waveguide is investigated theoretically via the real-space approach. It is demonstrated that the…

Optics · Physics 2014-09-17 Nam-Chol Kim , Myong-Chol Ko

Plasmonic waveguides are key elements in nanophotonic devices serving as optical interconnects between nanoscale light sources and detectors. Multimode operation in plasmonic two-wire transmission lines promises important degrees of freedom…

Optics · Physics 2019-04-26 Christian Schörner , Subhasis Adhikari , Markus Lippitz

This paper proposes a novel Generalized Non-Standard Finite Difference (GNSFD) scheme for the numerical solution of a class of fractional partial differential equations (FrPDEs). The formulation of the method is grounded in optimization and…

Numerical Analysis · Mathematics 2025-09-17 Devank Mishra , Sheerin Kayenat , Amit K. Verma

At millimeter-wave frequencies, diffuse scattering from rough surfaces is an important propagation mechanism. Including this mechanism in radio propagation modeling tools,such as ray-tracing, is a key step towards realizing accurate…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Stefanos Bakirtzis , Takahiro Hashimoto , Costas D. Sarris

A general method for numerical computation of the thermal density matrix of a single-particle quantum system is presented. The Schrodinger equation in imaginary time tau is solved numerically by the finite difference time domain (FDTD)…

Computational Physics · Physics 2009-02-12 I. Wayan Sudiarta , D. J. Wallace Geldart

Inverse design of optical components based on adjoint sensitivity analysis has the potential to address the most challenging photonic engineering problems. However existing inverse design tools based on finite-difference-time-domain (FDTD)…

Optics · Physics 2024-05-20 Dodd Gray , Gavin N. West , Rajeev J. Ram

Four-wave mixing has extensively been investigated for various applications such as communications, spectroscopy, metrology, quantum computing and bio-imaging. However, there is a clear desire to implement these functionalities in a small…