A thermochromic, thermotropic, or thermoreflective filter relies on a mismatch between the index of refraction of a thermotropic material (e.g., a liquid crystal) and a substrate material that includes refractive or diffractive features. At colder operating temperatures, the refraction mismatches are eliminated or minimized such that the filter becomes transparent, whereas at high operating temperatures the refraction mismatches are increased such that for light at appropriate incidence angles, the structure becomes highly reflective. This filter has particular but not exclusive application as a temperature-controlled “smart mirror” for use in windows, walls, roofing, and other building materials.