# US 10,246,539 B2 · Quasicrystalline structures and uses thereof

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- Number: US 10,246,539 B2
- Document ID: US10246539B2
- Status: Granted
- Kind: B2
- Application number: 15/410,396
- Filed: 2017-01-19
- Published: 2017-08-17
- Granted: 2019-04-02
- Earliest claimed: 2005-07-08
- Assignees: The Trustees of Princeton University
- Applicants: The Trustees of Princeton University
- Inventors: Paul Joseph Steinhardt; Paul Michael Chaikin; Weining Man
- Web page: https://patentgrep.com/patent/US10246539B2

## CPC

- C08F 220/56: Acrylamide; Methacrylamide
- B82Y 20/00: Nanooptics, e.g. quantum optics or photonic crystals
- B82Y 30/00: Nanotechnology for materials or surface science, e.g. nanocomposites
- C08F 222/385: {Monomers containing two or more (meth)acrylamide groups, e.g. N,N'-methylenebisacrylamide}
- C08G 59/245: {aromatic}
- C08G 65/22: Cyclic ethers having at least one atom other than carbon and hydrogen outside the ring
- G02B 6/1225: {comprising photonic band-gap structures or photonic lattices}
- H10H 20/811: having quantum effect structures or superlattices, e.g. tunnel junctions
- B33Y 80/00: Products made by additive manufacturing
- C08F: MACROMOLECULAR COMPOUNDS OBTAINED BY REACTIONS ONLY INVOLVING CARBON-TO-CARBON UNSATURATED BONDS
- B82Y: SPECIFIC USES OR APPLICATIONS OF NANOSTRUCTURES; MEASUREMENT OR ANALYSIS OF NANOSTRUCTURES; MANUFACTURE OR TREATMENT OF NANOSTRUCTURES
- C08G: MACROMOLECULAR COMPOUNDS OBTAINED OTHERWISE THAN BY REACTIONS ONLY INVOLVING UNSATURATED CARBON-TO-CARBON BONDS
- G02B: OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- H10H: INORGANIC LIGHT-EMITTING SEMICONDUCTOR DEVICES HAVING POTENTIAL BARRIERS
- B33Y: ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING

## Abstract

This invention relates generally to the field of quasicrystalline structures. In preferred embodiments, the stopgap structure is more spherically symmetric than periodic structures facilitating the formation of stopgaps in nearly all directions because of higher rotational symmetries. More particularly, the invention relates to the use of quasicrystalline structures for optical, mechanical, electrical and magnetic purposes. In some embodiments, the invention relates to manipulating, controlling, modulating and directing waves including electromagnetic, sound, spin, and surface waves, for pre-selected range of wavelengths propagating in multiple directions.

## Claims

### Claim 1

A method of detecting electromagnetic radiation comprising; a) providing: i) a quasicrystalline structure and ii) electromagnetic radiation; b) directing said electromagnetic radiation through said quasicrystalline structure; and c) detecting said electromagnetic radiation, and
wherein said quasicrystalline structure exhibits a photonic band structure in a two- or three-dimensional space, said band structure having corresponding symmetry, which symmetry is forbidden in crystals, and which band structure comprises a complete band gap.

### Claim 2 (depends on 1)

The method of claim 1, wherein said quasicrystalline structure comprises an arrangement of at least two dielectric materials in said space, wherein said arrangement comprises a lattice pattern having at least a five-fold symmetry axis and not a six-fold symmetry axis.

### Claim 3 (depends on 1)

The method of claim 1, wherein said quasicrystalline structure has quasi-periodic translational symmetry.

### Claim 4 (depends on 1)

The method of claim 1, wherein said quasicrystalline structure comprises at least two dielectric materials.