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Related Concept Videos

Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
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A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
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Longitudinal Morphological and Physiological Monitoring of Three-dimensional Tumor Spheroids Using Optical Coherence Tomography
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Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings.

Cheng-Wei Qiu1, Li Hu, Baile Zhang

  • 1Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Optics Express
|August 6, 2009
PubMed
Summary
This summary is machine-generated.

Researchers developed novel spherical invisibility cloaks using nonlinear transformation. Optimal segmentation of these cloaks was investigated, enhancing cloaking performance for both linear and nonlinear applications.

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Area of Science:

  • Electromagnetics and Optics
  • Metamaterials Science

Background:

  • Invisibility cloaking aims to render objects undetectable by manipulating electromagnetic wave propagation.
  • Nonlinear transformation optics offers a pathway to design cloaking devices with unique properties.

Purpose of the Study:

  • To investigate two novel classes of spherical invisibility cloaks based on nonlinear transformation.
  • To analyze the optimal discretization of these cloaks into concentric isotropic homogeneous coatings.
  • To evaluate the impact of discretization parameters on cloaking performance.

Main Methods:

  • Segmenting nonlinear transformation-based spherical cloaks into multiple layers.
  • Investigating optimal discretization parameters, including layer thickness and nonlinear factors.
  • Conducting numerical simulations of near-field electric-field distribution.
  • Analyzing far-field radar cross section (RCS) for performance verification.

Main Results:

  • Demonstrated effective cloaking characteristics through optimized layer segmentation.
  • Identified optimal discretization strategies for both linear and nonlinear spherical cloaks.
  • Verified cloaking properties via detailed near-field and far-field simulations.

Conclusions:

  • Novel spherical invisibility cloaks based on nonlinear transformation are feasible.
  • Optimal discretization is crucial for achieving high-performance cloaking.
  • Numerical simulations confirm the effectiveness of the proposed cloaking designs.