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Area of Science:

  • Metamaterials
  • Nonlinear Optics
  • Nanophotonics

Background:

  • Optical nonlinearities depend on material symmetry.
  • Centrosymmetric materials typically exhibit negligible second-order susceptibility under the dipole approximation.
  • This principle has been incorrectly applied to metamaterials, suggesting limited second harmonic (SH) generation in symmetric meta-atoms.

Purpose of the Study:

  • To demonstrate efficient SH light generation in symmetric meta-atoms.
  • To investigate in-plane centrosymmetric meta-atom designs where the dipole approximation fails.
  • To show how symmetry considerations alone can control nonlinear multipolar response.

Main Methods:

  • Investigated in-plane centrosymmetric meta-atom designs.
  • Analyzed periodic arrays of these meta-atoms.
  • Explored the breakdown of the dipole approximation for meta-atoms at optical frequencies.

Main Results:

  • Demonstrated that symmetric meta-atoms can radiate SH light efficiently.
  • Showed that periodic arrays enable control over SH radiation directionality.
  • Achieved on-demand manipulation of nonlinear multipolar response (dipolar, quadrupolar, multipolar).

Conclusions:

  • Symmetry considerations are sufficient to control the nonlinear multipolar response of meta-atoms.
  • The breakdown of the dipole approximation for subwavelength meta-atoms is crucial.
  • Efficient SH generation is possible even in highly symmetric metamaterial designs.