The present invention provides a method for manufacturing a diffusely reflecting polarizer, comprising the steps of: coextruding first and second polymers through a chaotic mixer and a sheeting die to produce a cast sheet with a desired blend morphology and stretching said cast sheet to produce a composite film containing a first polymer having a birefringence of less than 0.02, with said first polymer being a substantially amorphous nano-composite material, and a second polymer, the first polymer being a major phase, and the second polymer being a dispersed minor phase, wherein said first and second polymers taken together along a first axis for one polarization state of electromagnetic radiation exhibit a diffuse reflectivity R 1d , a specular reflectivity R 1s , a total reflectivity R 1t , a diffuse transmittance T 1d , a specular transmittance T 1s , and a total transmittance T 1t , and along a second axis for another polarization state of electromagnetic radiation exhibit a diffuse reflectivity R 2d , a specular reflectivity R 2s , a total reflectivity R 2t , a diffuse transmittance T 2d , a specular transmittance T 2s , and a total transmittance T 2t , the said first and second axes being orthogonal, wherein the parameters of composition, chaotic mixing, stretch temperature, stretch ratio for the process and Tg, and refractive index of the first and second polymers are selected to satisfy the equations: (1) R 1d is greater than R 1s ; and (2) T 2t / (1-0.5(R 1t +R 2t ))>1.35.