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This study reveals how nonconformal transformations in isotropic non-Hermitian media enable optical cloaking without requiring refractive indices below unity. This advances transformation optics and non-Hermitian photonics applications.

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Area of Science:

  • Photonics
  • Metamaterials
  • Optical Engineering

Background:

  • Coordinate transformations are key to manipulating light flow for phenomena like optical cloaking.
  • Existing methods often link isotropic materials with conformal transformations, limiting practical applications due to material constraints (e.g., refractive indices below unity).

Purpose of the Study:

  • To explore the connection between nonconformal distortions of optical space and the refractive index of isotropic non-Hermitian media.
  • To overcome the limitations of refractive indices below unity in transformation optics.
  • To design novel optical cloaking devices.

Main Methods:

  • Investigating the relationship between nonconformal coordinate transformations and complex refractive index distributions in non-Hermitian materials.
  • Developing a theoretical framework linking non-Hermitian photonics with transformation optics.
  • Applying the derived principles to design a broadband unidirectional dielectric cloak.

Main Results:

  • Demonstrated that nonconformal distortions are intrinsically linked to the complex refractive index of isotropic non-Hermitian media.
  • Showcased a method to circumvent the need for refractive indices below unity.
  • Successfully designed a broadband unidirectional dielectric cloak utilizing nonconformal transformations.

Conclusions:

  • The study bridges two-dimensional transformation optics and non-Hermitian photonics.
  • The findings offer new pathways for designing advanced optical devices, including cloaks, by leveraging non-Hermitian properties.
  • This work expands the toolkit for manipulating light with metamaterials and isotropic media.