Homogenization of Cylindrical Wire Structures

Homogenization of sub-wavelength electromagnetic structures is a well-known practice that has been studied for many different types of systems.It is meant to replace an intricate structure with simple, effective parameters that allow its modeling using significantly simplified tools.The same practice is also applied for planar, twodimensional structures, replacing gratings, subwavelength particle arrays, and small slots with effective surface susceptibility s or surface impedance Z s [1,2].Obtaining the effective parameters normally involves devising a solution for the electromagnetic field scattering problem and performing various approximations to obtain an analytical or semi-analytical expression for the effective parameters.The vast majority of these surface homogenization schemes assume that the structure is an infinite, planar, periodic arrangement of inclusions and applies the ensuing simplifications.However, in many cases, we use such structures in a cylindrical, rather than planar, setup.Several works have tackled these structures, and usually, it is assumed that the same homogenization scheme can be used for the cylindrical case to model the structure as a homogeneous cylindrical sheet.