FDTD Analysis of Periodic Structures at Arbitrary Incidence Angles: A Simple and Efficient Implementation of the Periodic Boundary Conditions

Abstract

This paper presents a simple and efficient approach to implement the periodic boundary conditions (PBC) in the finite-difference time-domain (FDTD) method. The scattering property of periodic structures is computed in the k <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">x</sub> -frequency plane through several rounds of FDTD simulations, each with a constant k <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">x</sub> value. The accuracy of the method is demonstrated through a dipole frequency selective surface (FSS) example