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Maximum electromagnetic local density of states via material structuring.

Pengning Chao1, Rodrick Kuate Defo1, Sean Molesky2

  • 1Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544, USA.

Nanophotonics (Berlin, Germany)
|December 5, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a framework to calculate upper bounds for electromagnetic local density of states (LDOS) in structured media, considering wave scattering. The findings reveal new scaling laws for LDOS enhancement, impacting photonics design.

Keywords:
fundamental limitsinverse designlocal density of statespurcell enhancement

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Area of Science:

  • Photonics Engineering
  • Electromagnetism
  • Materials Science

Background:

  • The electromagnetic local density of states (LDOS) is fundamental for optimizing light-matter interactions in photonics.
  • Applications include enhancing photon sources, radiative heat transfer, and photovoltaic devices.
  • Accurate LDOS evaluation is critical for designing advanced optical and electronic systems.

Purpose of the Study:

  • To develop a framework for calculating upper bounds on LDOS in structured media.
  • To incorporate arbitrary bandwidths and critical wave scattering effects into LDOS calculations.
  • To establish theoretical limits for LDOS enhancement based on fundamental physical principles.

Main Methods:

  • Derivation of an analytical expression for maximum LDOS based on energy conservation.
  • Development of a framework to evaluate upper bounds on LDOS, independent of specific geometries.
  • Benchmarking the derived bounds against topology-optimized structures.

Main Results:

  • The upper bounds on LDOS are determined by bandwidth, material susceptibility, and device footprint.
  • An analytical expression for maximum LDOS was derived and found to be nearly tight for large devices.
  • Novel scaling laws for maximum LDOS enhancement were identified, including saturation with susceptibility and quartic root scaling with bandwidth.

Conclusions:

  • The developed framework provides fundamental limits for LDOS enhancement in structured media.
  • The findings offer direct implications for material selection and device design in photonics.
  • The study advances the theoretical understanding of light manipulation in complex optical systems.