Novel Efficient Discontinuous Galerkin Time- Domain Modeling of Dispersive Chiral Metamaterials via Media Homogenization

A novel 3-D discontinuous Galerkin time-domain (DGTD) scheme is developed and presented for modeling electromagnetic (EM) wave interactions with dispersive chiral metamaterials (CMMs). A complete dispersive model that includes the Condon model for chirality and the Lorentz model for permittivity and permeability is used to describe the dispersive nature. Using the bilinear transform (BT) and leap-frog (LF) time integration scheme, the new DGTD method for dispersive chiral material has been derived, which represents the first of its kind in the DGTD community. EM scatterings of several canonical cases are simulated and compared with analytical or numerical results in previous work to validate the accuracy of the proposed method, including a slab, a sphere, a cube, and a cylinder made of dispersive chiral material and illuminated by the wideband plane wave pulse. An actual 3-D CMM composed of silver
$\Omega $
particle and polyimide background is homogenized to a slab with chiral constitutive parameters and then simulated by the newly proposed DGTD method. The simulation results and computation costs are compared with those from the actual structure. The proposed method has much higher efficiency than directly simulating the actual structure.