A multilayer polarizing structure is produced on a temporary support. The structure comprises at least one orienting layer and one polarizing layer comprising dichroic dyes, the dichroic dyes having an angular orientation determined by the orienting layer. The multilayer structure is separated from the temporary substrate before being applied onto a surface of an optical element. Applying the structure onto the optical element may be easily carried out while obtaining a quality compatible with many uses of the optical element, in particular ophthalmic uses.