An UTD-Analysis of Electromagnetic Scattering From Periodic Array Structures With a Straight Truncation Boundary

The uniform geometrical theory of diffraction (UTD)-type analysis of electromagnetic (EM) scattering from an array of periodic structures is presented, whose solutions were developed by an extension from the analogous 2-D EM scattering problem. The array is semi-infinite along one of its two dimensions. The scattering fields are interpreted by the diffraction mechanisms of the UTD framework including the reflection, transmission, and truncation diffractions. This technique is particularly useful to analyze the EM properties of frequency-selective surfaces and metamaterials composed of periodic structures with identical elements by an integration of full-wave numerical techniques to analyze the array elements. Thus, it may treat a relatively flexible elemental structure and makes the solution very useful in practical applications. Numerical examples are presented to demonstrate the applicability of these solutions.