Bounds on the complex permittivity of polycrystalline materials by analytic continuation.

摘要: An analytic continuation method for obtaining rigorous bounds on the effective complex permittivity e * of polycrystalline composite materials is developed. It assumed that consists many identical anisotropic crystals, each with a unique orientation. The key step in involves deriving an integral representation *, which separates parameter information from geometrical information. Forward are then found using knowledge single crystal tensor and mean Inverse also developed, recover about orientation *. We apply to sea ice, critical component climate system. Different ice types, result different growth conditions, have size statistics. These characteristics significantly influence fluid transport properties control geophysical biogeochemical processes important polar ecosystems. Using two-scale homogenization scheme, where numerically computed, forward obtained excellent agreement columnar data. Furthermore, inverse applied helping lay groundwork determining type remote sensing techniques.