Electrical engineering

Printed circuit board

Physics

Electrical conductor

Mathematics

Reflection coefficient

Ground plane

Operating system

Algorithm

Specular reflection

Optics

Computer graphics (images)

Electronic circuit

Engineering

Planar

Composite material

Perfect conductor

STRIPS

Antenna (radio)

Scattering

Materials science

Geometry

Computer science

Conductor

Telecommunications

IEEE Transactions on Antennas and Propagation

We present an analytical scheme for the design of realistic metagratings for wide-angle engineered reflection. These recently proposed planar structures can reflect an incident plane wave into a prescribed (generally non-specular) angle with very high efficiencies, using only a single meta-atom per period. Such devices offer a means to overcome the implementation difficulties associated with standard metasurfaces (consisting of closely-packed subwavelength meta-atoms) and the relatively low efficiencies of gradient metasurfaces. In contrast to previous work, in which accurate systematic design was limited to metagratings unrealistically suspended in free space, we derive herein a closed-form formalism allowing realization of printed-circuit-board (PCB) metagrating perfect reflectors, comprised of loaded conducting strips defined on standard metal-backed dielectric substrate. The derivation yields a detailed procedure for the determination of the substrate thickness and conductor geometry required to achieve unitary coupling efficiencies, without requiring even a single full-wave simulation. Our methodology, verified via commercial solvers, ultimately allows one to proceed from a theoretical design to synthesis of a full physical structure, avoiding the time-consuming numerical optimizations typically involved in standard metasurface design.

Analytical Design of Printed Circuit Board (PCB) Metagratings for Perfect Anomalous Reflection