WE PROPOSE TO CONTINUE OUR DEVELOPMENT OF TWO-DIMENSIONAL DIFFERENTIAL DEPOSITION AND EROSION A NOVEL METHODS FOR HIGH-THROUGHPUT SURFACE HEIGHT ERROR CORRECTION IN THIN-SHELL CYLINDRICAL MIRROR SUBSTRATES. WE ALSO PROPOSE TO DEVELOP NON-DISTORTING X-RAY REFLECTIVE MULTILAYER COATINGS FOR USE ABOVE 80 KEV. OUR SPECIFIC RESEARCH OBJECTIVES ARE: (A) DEVELOP TWO-DIMENSIONAL CONTROL OF FILM DEPOSITION AND EROSION TO CORRECT BOTH LOW- AND MID-FREQUENCY SURFACE HEIGHT ERRORS IN CYLINDRICAL THIN-SHELL MIRROR SUBSTRATES AND (B) DEVELOP HIGH-EFFICIENCY NON-DISTORTING ZERO NET-STRESS AND STRESS BALANCED REFLECTIVE MULTILAYER COATINGS FOR USE ABOVE 80 KEV.