A novel class of transparent polymeric foams from high T.sub.g polymers comprising submicron cells and a process for their production is described. The polymers are preferably high glass transition materials and the process comprises saturating a consolidated polymer shape with an inert gas at a temperature above the glass transition temperature of the polymer and under a pressure of at least 9000 psi for a period adequate to dissolve the gas in the polymer shape and then controllably cooling the polymer shape to produce the submicron cell structure.