TECHNOLOGY FOCUS - POLYMERS - Preferred Components: The first blend of polymer components includes polymer component (a) and polymer component (b) and the second blend of polymer components includes polymer components (a1) and (b1), where (a) is same as (a1) and (b) is same as (b1). The ratio of (a) and (b) in layer (A) is equal to the ratio of (a1) and (b1) in layer (B). The layers (A) and (B) each have thicknesses of 5-1000 nm. The layers further comprise an organic or inorganic material designed to affect the refractive index. (a) and (b) are: polyethylene naphthalate, an isomer, polyalkylene terephthalate, polyimide, polyetherimide, styrenic polymer, polycarbonate, poly(meth)acrylate, cellulose derivative, polyalkylene polymer, fluorinated polymer, chlorinated polymer, poly sulfone, polyethersulfone, polyacrylonitrile, polyamide, polyvinylacetate, polyetheramide, styrene-acrylonitrile copolymer, styrene-ethylene copolymer, poly(ethylene-1,4 cyclohexylenedimethylene terephthalate), polyvinylidene difluoride, acrylic rubber, isoprene, isobutylene-isoprene, butadiene rubber, butadienestyrene-vinyl pyridine, butyl rubber, polyethylene, chloroprene, epichlorohydrin rubber, ethylene-propylene, ethylene propylene-diene, nitrile-butadiene, polyisoprene, silicon rubber, styrene-butadiene, urethane rubber and polyoxyethylene, polyoxypropylene, tetrafluoroethylene hexafluoropropylene vinylidene (THV), aromatic polyesters, aromatic polyamides, or ethylene norbornene copolymers; and are miscible, immiscible or partially miscible polymeric materials. The multilayered composite GRIN sheet is comprised of 5-100000 multilayered polymer composite films. The GRIN material exhibits an index gradient of 0.02-2, and further comprises at least one reflector or filter layer. The multilayered composite polymer films are stacked in ordered layers to form a hierarchical multilayered composite GRIN sheet, where the adjacent multilayered composite polymer films exhibit progressively different refractive indexes. The multilayered composite polymer film comprises 50-500000 alternating layers. Preferred Method: In the method, at least two co-extruded multilayered polymer films that are consolidated to form the multilayer composite GRIN sheet have different refractive indexes. EXAMPLE - No suitable example given.