Abstract
This paper investigates an FDTD modeling method for precisely calculating the characteristics of a single, that is, a nonperiodic antenna located above a metasurface that consists of an infinite periodic conducting element on a flat dielectric substrate. The original FDTD method requires enormous computational resources to analyze such structures because an appropriate periodic boundary condition (PBC) is not supported, and a brute force approach has to be used for this reason. Another option is to use the array scanning method in which a single source is synthesized from a superposition of infinite phased array of point sources. In this method, some problems such as a mutual coupling between the single antenna and the metasurface, a computational error contained in a numerical integration over the Brillouin zone and so on have not been resolved yet. In order to resolve these difficulties and to reduce computational resources, a surface impedance boundary condition (SIBC) is incorporated into the FDTD method in this paper. The validity of the method is numerically confirmed by calculating an input impedance and a radiation pattern of a horizontal dipole antenna located above the metasurface.
Highlights
The use of periodic artificial materials or metamaterials has been investigated for antennas, microwave devices and many other applications in the field of optics due to their own high ability to enhance the original characteristics and to control electromagnetic wave propagation [1,2,3]
The surface impedance boundary condition (SIBC)-based finite difference time domain (FDTD) method has been investigated to calculate the properties of the dipole antenna located above the metasurface that consists of the infinite periodic conducting element on the flat dielectric substrate
The rational function interpolation of the given surface impedance data was introduced in order to obtain the expression that can be successfully incorporated into the FDTD method
Summary
The use of periodic artificial materials or metamaterials has been investigated for antennas, microwave devices and many other applications in the field of optics due to their own high ability to enhance the original characteristics and to control electromagnetic wave propagation [1,2,3]. The purpose of this paper is to provide a computational method of electromagnetic fields excited by a single(nonperiodic) antenna that is placed near a two dimensional periodic structure. This type of antenna is sometimes referred to as a metamaterialinspired antenna in the field of antenna engineering. It is numerically demonstrated using some numerical examples that the SIBC-FDTD is extremely effective for the far-field calculations.
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