Conformal frequency selective surfaces for arbitrary curvature

A system for conforming a periodic array to a surface, the system comprising:

• a storage device configured to store program instructions;
• and
• one or more processors operably connected to the storage device and configured to execute the program instructions to cause the system to:
• calculate, with a spatially-variant lattice algorithm, a pair of planar gratings across the surface, wherein the planar gratings are generated via reciprocal lattice vectors;
• sum the pair of planar gratings;
• scan intersections produced by summing the gratings for maxima on the surface;
• locate a periodic array of elements at the maxima on the surface;
• calculate a normal vector at each maximum on the surface;
• rotate each element to match the direction of the respective normal vector at each maximum on the surface;
• and
• conform the elements to the surface via a shrink-wrap modifier operation.

A computer program product for conforming a periodic array to a surface, the computer program product comprising:

• a computer-readable storage medium having program instructions embodied thereon to perform the steps of:
• calculating, with a spatially-variant lattice algorithm, a pair of planar gratings across the surface, wherein the planar gratings are generated via reciprocal lattice vectors;
• summing the pair of planar gratings;
• scanning intersections produced by summing the gratings for maxima on the surface;
• locating a periodic array of elements at the maxima on the surface;
• calculating a normal vector at each maximum on the surface;
• rotating each element to match the direction of the respective normal vector at each maximum on the surface;
• and
• conforming the elements to the surface via a shrink-wrap modifier operation.