Full-wave finite-difference time-domain simulation of electromagnetic cloaking structures.
Yan Zhao1, Christos Argyropoulos, Yang Hao
1Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom. yan.zhao@elec.qmul.ac.uk
Optics Express
|June 12, 2008
Summary
This study introduces a new method for modeling electromagnetic cloaking structures. While ideal cloaks render objects invisible, simplified designs require advanced transformations to reduce unwanted backscattering and improve performance.
Area of Science:
- Electromagnetics
- Computational Physics
- Materials Science
Background:
- Electromagnetic cloaking aims to render objects undetectable by manipulating electromagnetic fields.
- Existing models often face limitations in performance, particularly regarding backscattering.
- Dispersive properties of cloak materials are crucial for accurate modeling.
Purpose of the Study:
- To develop and validate a radial dependent dispersive finite-difference time-domain (FDTD) method for electromagnetic cloaking structures.
- To analyze the cloaking performance of simplified designs based on linear and high-order transformations.
- To investigate the impact of material dispersion on cloaking effectiveness.
Main Methods:
- Implementation of a radial dependent dispersive FDTD method.
- Modeling cloak permittivity and permeability using the Drude dispersion model.
- Numerical simulations to assess object invisibility and backscattering levels.
Main Results:
- Objects inside ideal cloaks are shown to be invisible under simulated conditions.
- Simplified cloaks using linear transformations exhibit significant backscattering, comparable to a PEC cylinder.
- Simplified cloaks employing high-order transformations demonstrate improved cloaking performance by reducing backscattering.
Conclusions:
- The proposed dispersive FDTD method is effective for modeling electromagnetic cloaking.
- High-order transformations are essential for enhancing the performance of simplified cloaking structures.
- Further research into advanced transformations is needed to overcome limitations in practical cloaking applications.
Related Concept Videos
Electromagnetic Wave Equation
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...
Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Plane Electromagnetic Waves II
Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Electromagnetic Waves
James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...
Plane Electromagnetic Waves I
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
The EM field is assumed to be a...


