DeepAI AI Chat
Log In Sign Up

Time-Domain Analysis of Left-Handed Materials Based on a Dispersive Meshless Method with PML Absorbing Boundary Condition

by   Sheyda Shams, et al.

In this paper, we have proposed a dispersive formulation of scalar-based meshless method for time-domain analysis of electromagnetic wave propagation through left-handed (LH) materials. Moreover, we have incorporated Berenger's perfectly matched layer (PML) absorbing boundary condition (ABC) into the dispersive formulation to truncate open-domain structures. In general, the LH medium as a kind of dispersive media can be described by frequency-dependent constitutive parameters. The most appropriate numerical techniques for analysis of LH media are dispersive formulations of conventional numerical methods. In comparison to the conventional grid-based numerical methods, it is proved that meshless methods not only are strong tools for accurate approximation of derivatives in Maxwell's equations but also can provide more flexibility in modeling the spatial domain of problems. However, we have not seen any reports on using dispersive forms of meshless methods for simulation of wave propagation in metamaterials and applying any PML ABCs to dispersive formulation of meshless method. The proposed formulation in this paper enables us to take advantage of meshless methods in analysis of LH media. For modeling the frequency behavior of the medium in the proposed dispersive formulation, we have used auxiliary differential equation (ADE) method based on the relations between electromagnetic fields intensities and current densities. Effectiveness of the proposed formulation is verified by a numerical example; also, some basic factors which affect the accuracy and computational cost of the simulations are studied.


Dispersive Divergence-Free Vector Meshless Method for Time-Domain Analysis of Frequency-Dependent Media

The dispersive meshless method with scalar basis function has been succe...

A hybrid PML formulation for the 2D three-field dynamic poroelastic equations

Simulation of wave propagation in poroelastic half-spaces presents a com...

Spatially-optimized finite-difference schemes for numerical dispersion suppression in seismic applications

Propagation characteristics of a wave are defined by the dispersion rela...

Sensitivity analysis of chaotic systems using a frequency-domain shadowing approach

We present a frequency-domain method for computing the sensitivities of ...

A Hybrid SIE-PDE Formulation Without Boundary Condition Requirement for Transverse Magnetic Electromagnetic Analysis

A hybrid surface integral equation partial differential equation (SIE-PD...

Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

We develop fractional buffer layers (FBLs) to absorb propagating waves w...

Distributed local spline simulator for wave propagation

Numerical simulation of wave propagation in elastic media faces the chal...