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Hyperuniform Disordered Photonic Solid with Complete Photonic Band Gap 
Non-crystalline materials having complete photonic, electronic, or phononic band gaps
(Marian Florescu, PJS & Salvatore Torquato)
US Patent No. 9,207,357 B2 issued  December 15, 2015.                 

 Quasicrystalline structures and uses Thereof
(Weining Man, Paul Chaikin & PJS)
US Patent No. 8064127 issued  November 22, 2011.                           
 
Quasicrystalline structures and uses thereof
(Weining Man, Paul Chaikin & PJS)
US Patent No. 8243362 B1 issued  August 14, 2012. 

Quasicrystalline structures and uses Thereof
(Weining Man, Paul Chaikin & PJS)
US Patent No.8599472 B1 issued  December 3, 2013. 

Quasicrystalline structures and uses Thereof
(Weining Man, Paul Chaikin & PJS)
US Patent No.8508838 B2 approved August 23, 2013.

             
Assembly of Quasicrystalline Photonic Heterostructures
(David G. Grier, Yael Roichman, Weining Man, Paul Chaikin & PJS, disclosure submitted July 8, 2005).
US Patent No. 7981774  issued July 19, 2011.

Assembly of Quasicrystalline Photonic Heterostructures
(David G. Grier, Yael Roichman, Weining Man, Paul Chaikin & PJS, disclosure submitted July 8, 2005)
US Patent No. 8394708  issued March 12, 2013.

Interference Using Quasiperiodic Patterns
PJS & Philip Taylor
US Patent No. 5379118   issued January 3, 1995.

More Methods and Apparatus for Eliminating Moire' Interference Using Quasiperiodic Patterns
PJS & Philip Taylor
US Patent No. 5179448  issued January 12, 1993.

Methods and Apparatus for Eliminating Moire' Interference Using Quasiperiodic Patterns
PJS & Philip Taylor
US Patent No. 4984726   issued January 16, 1990

Narrow-band frequency splitters, photonic sensors, and cavities having pre-selected cavity modes  
(Marian Florescu, Salvatore Torquato & PJS, PCT/US12/55791 submitted September 17, 2012)
http://www.google.com/patents/US20140366647 

Disordered Multi-hyperuniform pixel array for image sensors
(PJS, Salvatore Torquato & Paul Chaikin, US patent application submitted February, 2014)