Abstract: The disclosed structure is configured such that it does not support electromagnetic waves having frequencies within a selected band gap; those electromagnetic waves are thus reflected. Some variations provide an omnidirectional infrared reflector comprising a three-dimensional photonic crystal containing: rods of a first material that has a first refractive index, wherein the rods are arranged to form a plurality of lattice periods in three dimensions, and wherein the rods are connected at a plurality of nodes; and a second material that has a refractive index that is lower than the first refractive index, wherein the rods are embedded in the second material. The lattice spacing and the rod radius or width are selected to produce a photonic band gap within a selected band of the infrared spectrum. Methods of making and using the three-dimensional photonic crystal are described. Applications include thermal barrier coatings and blackbody emission signature control.

Abstract: A curved phononic waveguide. In some embodiments, the curved phononic waveguide includes a sheet including a plurality of standard reflectors and a plurality of divergent reflectors. Each of the standard reflectors is associated with a respective grid point of a grid defined by a plurality of intersecting lines, each grid point being a respective intersection of two of a plurality of intersecting lines, the grid being locally periodic to within 5%, and having a local grid spacing. Each of the standard reflectors has a center separated from the respective grid point of the standard reflector by at most 1% of the grid spacing. The divergent reflectors define a waveguide among the standard reflectors, each of the divergent reflectors being an absent reflector or a reflector that is smaller than one of the standard reflectors.

Abstract: A phononic coupler. In some embodiments, the phononic coupler includes a sheet, including a plurality of standard reflectors, and a plurality of divergent reflectors. The divergent reflectors define, among the standard reflectors, a first waveguide, and a second waveguide. The coupler has a first port, at a first end of the coupler, a second port, at the first end of the coupler, and a third port, at a second end of the coupler. The first waveguide has a first end at the first port. The second waveguide has a first end at the second port, and a second end at the third port. The coupler is configured to couple longitudinal sound waves to both the first port and the second port.

Abstract: The disclosed structure is configured such that it does not support electromagnetic waves having frequencies within a selected band gap; those electromagnetic waves are thus reflected. Some variations provide an omnidirectional infrared reflector comprising a three-dimensional photonic crystal containing: rods of a first material that has a first refractive index, wherein the rods are arranged to form a plurality of lattice periods in three dimensions, and wherein the rods are connected at a plurality of nodes; and a second material that has a refractive index that is lower than the first refractive index, wherein the rods are embedded in the second material. The lattice spacing and the rod radius or width are selected to produce a photonic band gap within a selected band of the infrared spectrum. Methods of making and using the three-dimensional photonic crystal are described. Applications include thermal barrier coatings and blackbody emission signature control.