Currently there is considerable interest in the problem of creating hollow microspheres of uniform thickness made of amorphous materials of the glass, plastic, and polymer types. In the first instance this is connected with question of microencapsulation [I], and also development of new areas for the application of microspheres: laser thermonuclear targets; microballoons for storing hydrogen, oxygen, and rocket fuels under high pressure; a filler for structural panels of flying and underwater equipment (see [2] and the bibliography in it).