Patents

Quasicrystalline Structures and Uses Thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
U.S. Patent 11,618,798 issued April 4, 2023.

Narrow-band frequency filters and splitters, photonic sensors and cavities having pre-selected cavity modes
(P.J. Steinhardt, M. Florescu, S. Torquato)
US Patent 11,086,047 issued August 10, 2021.

Controlled Design of Localized States in Photonic Quasicrystals
(C. Lin, P.J.Steinhardt, S. Torquato)
US Patent 202,100,724 issued March 11, 2021.

Quasicrystalline Structures and Uses Thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
U.S. Patent 10,882,938 issued January 5, 2021.

Hyperuniform and Nearly Hyperuniform Random Network Materials
(P.J. Steinhardt, S. Torquato and M. Hejna)
U.S. Patent 10,662,065 B2 issued May 26, 2020.

Quasicrystalline Structures and Uses Thereof on device manufacture
(P.J. Steinhardt, P.M. Chaikin, W. Man)
U.S. Patent 10,246,539 B2  issued April 2, 2019.

Non-crystalline materials having complete photonic, electronic, or phononic band gaps
(P.J. Steinhardt, S. Torquato and M. Florescu)
US Patent 10,175,389 issued January 8,2019.

Hyperuniform and nearly hyperuniform random network materials
(P.J. Steinhardt, S. Torquato and M. Hejna)
US Patent No. 10,059,596 B2 issued August 18, 2018.

Narrow-band frequency filters and splitters, photonic sensors and cavities having pre-selected cavity modes
(P.J. Steinhardt, M. Florescu, S. Torquato)
US Patent 9,885,806 issued February 6, 2018.

Quasicrystalline structures and uses Thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
US Patent 9,567,420 issued February 14, 2017.

Narrow-band frequency filters and splitters, photonic sensors and cavities having pre-selected cavity modes
(P.J. Steinhardt, M. Florescu, S. Torquato)
US Patent 9,465,141 issued October 11, 2016.

Non-crystalline materials having complete photonic, electronic, or phononic band gaps
(P.J. Steinhardt, S. Torquato and M. Florescu)
US Patent 9,461,203 issued October 4, 2016.

Non-crystalline materials having complete photonic, electronic, or phononic band gaps
(P.J. Steinhardt, S. Torquato and M. Florescu)
US Patent 9,207,357 B2 issued December 15, 2015.

Quasicrystalline structures and uses Thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
US Patent 8,599,472 B1 issued December 3, 2013.

Quasicrystalline structures and uses Thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
US Patent 8,508.838 B2 issued August 23, 2013.

Assembly of Quasicrystalline Photonic Heterostructures
(David G. Grier, Yael Roichman, Weining Man, Paul Chaikin & PJS)
US Patent 8,394,708 issued March 12, 2013.

Quasicrystalline structures and uses thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
US Patent 8,243,362 B1 issued August 14, 2012.

Quasicrystalline structures and uses Thereof
(P.J. Steinhardt, P.M. Chaikin, W. Man)
US Patent 8,064,127 issued November 22, 2011.

Assembly of Quasicrystalline Photonic Heterostructures
(David G. Grier, Yael Roichman, Weining Man, Paul Chaikin & PJS).
US Patent 7,981,774 issued July 19, 2011.

Interference Using Quasiperiodic Patterns
PJS & Philip Taylor
US Patent 5,379,118 issued January 3, 1995.

More Methods and Apparatus for Eliminating Moire’ Interference Using Quasiperiodic Patterns
PJS & Philip Taylor
US Patent 5,179,448 issued January 12, 1993.

Methods and Apparatus for Eliminating Moire’ Interference Using Quasiperiodic Patterns
PJS & Philip Taylor
US Patent 4,894,726 issued January 16, 1990

Submissions under consideration:

Disordered Multi-hyperuniform pixel array for image sensors
(P.J. Steinhardt, S. Torquato, P.M. Chaikin)
US patent application submitted February, 2014.