On the Huygens principle for bianisotropic mediums with symmetric permittivity and permeability dyadics

• Published in: Physics letters. A Vol. 381; no. 7; pp. 742 - 746
• Main Authors: Faryad, Muhammad, Lakhtakia, Akhlesh
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 19.02.2017
• Subjects: Anisotropic medium; Bianisotropic medium; Huygens principle; Anisotropic medium; Huygens principle; Bianisotropic medium
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2016.12.009

Mathematical statements of the Huygens principle relate the electric and magnetic field phasors at an arbitrary location in a source-free region enclosed by a surface to the tangential components of the electric and magnetic field phasors over that surface, via the dyadic Green functions applicable to the linear homogeneous medium occupying that region. We have mathematically formulated the Huygens principle for the electric and magnetic field phasors when the permittivity and permeability dyadics of the medium are symmetric, the symmetric parts of the two magnetoelectric dyadics of the medium are negative of each other, and both magnetoelectric dyadics also contain anti-symmetric terms. We have also formulated the Huygens principle for the electric (resp. magnetic) field phasor in a medium whose permittivity (resp. permeability) is scalar, the permeability (resp. permittivity) is symmetric, the symmetric parts of the two magnetoelectric dyadics reduce to dissimilar scalars, and anti-symmetric parts of the two magnetoelectric dyadics are identical. •The Huygens principle was formulated for bianistropic mediums when the permittivity and permeability dyadics of the medium are symmetric.•The formulation covers isotropic, biisotropic, and gyrotropic-like uniaxial mediums for which the Huygens principle is already available.•The formulation also covers new mediums like biaxial, chiro-omega, pseudo chiral, gyrotropic-like biaxial, and Lorentz reciprocal mediums.