Apparatus Having a Photonic Crystal

Abstract

An apparatus, including a substrate, where at least a portion of the substrate has a convex surface, and a photonic crystal disposed over the convex surface. The photonic crystal is substantially conformal to at least a portion of the convex surface.

1 . A method of using a photonic crystal, comprising heating an incandescent filament disposed within a tubularly-shaped photonic crystal substantially encircling said incandescent filament.  
     
     
         2 . A method of using a photonic crystal, comprising: 
 generating a portion of the electromagnetic spectrum from an incandescent filament; and    transmitting said portion of the electromagnetic spectrum through at least a portion of a photonic crystal disposed over a convex surface formed on at least a portion of a substrate, wherein said photonic crystal is substantially conformal to at least a portion of said convex surface.    
     
     
         3 . The method in accordance with  claim 2 , wherein transmitting said portion of the electromagnetic spectrum further comprises transmitting said portion of the electromagnetic spectrum radially through at least a portion of a tubularly-shaped photonic crystal, wherein at least a portion of said incandescent filament is disposed within said tubularly-shaped photonic crystal.  
     
     
         4 . The method in accordance with  claim 2 , wherein generating said portion of the electromagnetic spectrum from said incandescent filament further comprises generating said portion of the electromagnetic spectrum from a spirally wound filament.  
     
     
         5 . The method in accordance with  claim 4 , wherein generating said portion of the electromagnetic spectrum from said spirally wound filament further comprises generating said portion of the electromagnetic spectrum from said spirally wound filament having a filament photonic crystal conformal to and disposed on at least a portion of said spirally wound filament.  
     
     
         6 . The method in accordance with  claim 2 , wherein generating said portion of the electromagnetic spectrum from said incandescent filament further comprises generating said portion of the electromagnetic spectrum from a filament photonic crystal conformal to and disposed on at least a portion of said incandescent filament  
     
     
         7 . The method in accordance with  claim 2 , wherein transmitting said portion of the electromagnetic spectrum further comprises transmitting said portion of the electromagnetic spectrum through at least a portion of a colloidal photonic crystal.  
     
     
         8 . The method in accordance with  claim 2 , wherein transmitting said portion of the electromagnetic spectrum further comprises transmitting said portion of the electromagnetic spectrum through at least a portion of an inverse opal photonic crystal.  
     
     
         9 . The method in accordance with  claim 2 , wherein transmitting said portion of the electromagnetic spectrum further comprises transmitting said portion of the electromagnetic spectrum through at least a portion of a photonic band gap crystal.  
     
     
         10 . The method in accordance with  claim 2 , wherein transmitting said portion of the electromagnetic spectrum further comprises transmitting said portion of the electromagnetic spectrum through at least a portion of a spherically-shaped photonic crystal.  
     
     
         11 . The apparatus in accordance with  claim 2 , wherein transmitting said portion of the electromagnetic spectrum further comprises transmitting said portion of the electromagnetic spectrum through at least a portion of said photonic crystal having a spatially periodic structure.