Mueller matrices for anisotropic metamaterials generated using 4 × 4 matrix formalism

P. D. Rogers, T. D. Kang, T. Zhou, M. Kotelyanskii, A. A. Sirenko

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


Forward models for the Mueller Matrix (MM) components of materials with relative magnetic permeability tensor μ ≠ 1 are studied. 4 × 4 matrix formalism can be used to calculate the complex reflection coefficients and the MMs of dielectric-magnetic materials having arbitrary crystal symmetry. For materials with simultaneously diagonalizable ε and μ tensors (with coincident principal axes), analytic solutions to the Berreman equation are available. For the single layer thin film configuration, analytic formulas for the complex reflection and transmission coefficients are derived for orthorhombic symmetry or higher. The separation of the magnetic and dielectric contributions to the optical properties as well as the ability to distinguish materials exhibiting negative index of refraction are demonstrated using simulations of the MM at varying angles of incidence.

Original languageEnglish (US)
Pages (from-to)2668-2673
Number of pages6
JournalThin Solid Films
Issue number9
StatePublished - Feb 28 2011

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Metals and Alloys
  • Materials Chemistry


  • 4 × 4 matrix formalism
  • Anisotropic
  • Dielectric-magnetic
  • Metamaterial
  • Mueller matrix
  • Negative refractive index


Dive into the research topics of 'Mueller matrices for anisotropic metamaterials generated using 4 × 4 matrix formalism'. Together they form a unique fingerprint.

Cite this