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Optical design of reflectionless complex media by finite embedded coordinate transformations.

Marco Rahm1, Steven A Cummer, David Schurig

  • 1Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA. marco.rahm@duke.edu

Physical Review Letters
|March 21, 2008
PubMed
Summary

This study introduces finite coordinate transformations for controlling electromagnetic fields, enabling novel devices like reflectionless beam shifters and splitters with unusual wave behavior.

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Area of Science:

  • Electromagnetism
  • Optics
  • Materials Science

Background:

  • Transformation optics provides a novel method for controlling electromagnetic fields.
  • Existing transformation optical structures, like invisibility cloaks, are typically reflectionless and do not disturb transmitted waves.

Purpose of the Study:

  • To expand the capabilities of transformation optics by introducing finite, embedded coordinate transformations.
  • To design and demonstrate new transformation optical devices that can steer or focus electromagnetic waves.

Main Methods:

  • Development of finite, embedded coordinate transformations within transformation optics.
  • Application of these transformations to design novel optical devices.
  • Verification of device performance using 2D full-wave electromagnetic simulations.

Main Results:

  • Demonstration of a parallel beam shifter and a beam splitter utilizing the new transformation method.
  • Confirmation that the designed devices are inherently reflectionless.
  • Observation of unusual electromagnetic behavior in the designed devices.

Conclusions:

  • Finite, embedded coordinate transformations represent a significant expansion of transformation optics.
  • This method allows for the creation of reflectionless devices that steer and focus electromagnetic waves.
  • The developed devices exhibit unique electromagnetic properties, validated by simulations.