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Inverse scattering with a non self-adjoint variational formulation.

Publication ,  Journal Article
Marks, DL; Smith, DR
Published in: Optics express
March 2018

The weak scattering approximation is used when designing optical media that couple fields together, but to account for the interactions of multiple fields in a volume or to achieve the best efficiency, the solution must be consistent with Maxwell's equations. We describe a method based on the variational formulation of Maxwell's equations typically employed in the finite element method (FEM) that finds both the fields and the medium that couples incident and scattered fields together, and so can be considered an extension of the FEM when both the field and the medium are allowed to vary. The method iteratively updates estimates of the field and the medium and can be readily implemented. We demonstrate designs of diffractive and refractive elements that couple fields together using an iteratively updated finite-difference-frequency-domain (FDFD) solution. Such methods that are fully consistent with Maxwell's equations are needed to design metamaterials that fully exploit strongly interacting metamaterial elements.

Duke Scholars

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

March 2018

Volume

26

Issue

6

Start / End Page

7655 / 7671

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
 

Citation

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Marks, D. L., & Smith, D. R. (2018). Inverse scattering with a non self-adjoint variational formulation. Optics Express, 26(6), 7655–7671. https://doi.org/10.1364/oe.26.007655
Marks, Daniel L., and David R. Smith. “Inverse scattering with a non self-adjoint variational formulation.Optics Express 26, no. 6 (March 2018): 7655–71. https://doi.org/10.1364/oe.26.007655.
Marks DL, Smith DR. Inverse scattering with a non self-adjoint variational formulation. Optics express. 2018 Mar;26(6):7655–71.
Marks, Daniel L., and David R. Smith. “Inverse scattering with a non self-adjoint variational formulation.Optics Express, vol. 26, no. 6, Mar. 2018, pp. 7655–71. Epmc, doi:10.1364/oe.26.007655.
Marks DL, Smith DR. Inverse scattering with a non self-adjoint variational formulation. Optics express. 2018 Mar;26(6):7655–7671.
Journal cover image

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

March 2018

Volume

26

Issue

6

Start / End Page

7655 / 7671

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics