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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
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An external cloak with arbitrary cross section based on complementary medium and coordinate transformation.

Chengfu Yang1, Jingjing Yang, Ming Huang

  • 1School of Information Science and Engineering, Yunnan University, Kunming, China.

Optics Express
|January 26, 2011
PubMed
Summary
This summary is machine-generated.

Researchers developed an electromagnetic cloak to render objects invisible using complementary media and transformation optics. An "antiobject" within the cloak makes external objects of any shape undetectable to electromagnetic waves.

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Area of Science:

  • Physics
  • Metamaterials
  • Optics

Background:

  • Electromagnetic cloaking aims to render objects invisible to electromagnetic waves.
  • Transformation optics provides a theoretical framework for designing cloaking devices.
  • Complementary media offer novel approaches to electromagnetic manipulation.

Purpose of the Study:

  • To derive material parameters for an external cylindrical cloak with arbitrary cross-sections.
  • To enable cloaking of objects with arbitrary shapes outside the cloaking domain.
  • To investigate the relationship between the 'antiobject' and cloaking parameters.

Main Methods:

  • Combining concepts of complementary media and transformation optics.
  • Deriving material parameters for a complementary medium-assisted cloak.
  • Utilizing full-wave simulations to verify the cloaking effect.

Main Results:

  • Successfully derived material parameters for an external cloak with arbitrary cross-sections.
  • Demonstrated that an embedded 'antiobject' is crucial for cloaking external objects.
  • Established the dependency of the 'antiobject' on cloak contour and coordinate transformation.

Conclusions:

  • The proposed complementary medium-assisted cloak can achieve external invisibility for arbitrarily shaped objects.
  • The design and placement of the 'antiobject' are critical for effective cloaking.
  • Full-wave simulations validate the theoretical predictions and the cloaking performance.