The surface errors in mounting process of a mirror used in the X-ray focusing telescope with a nested conical approximation Wolter-Ⅰ type structure was simulated and analyzed for an X-ray Timing and Polarization (XTP) satellite. Firstly
the 2-D finite element model was established based on ANSYS. Then
by taking the actual jig and mounting process as loading and boundary conditions
the curvilinear relationship between surface error and loading on three bars was obtained through the analysis of mounting process of the mirror with different radii and the optimized loadings according to different mirrors were selected. Analysis results show that the minimum surface error is less than 0.1
μ
m according to the optimized loading and satisfies the accuracy requirement. Moreover
the maximum stresses in the mirror are less than the ultimate strength of glass and maintain the reliability in mounting process. A 3-D model was established to compare with the 2-D model for deviation analysis. Results show that the main calculating deviation is 2.3
μ
m at front and back sections of the mirror in length about 5 mm. The calculating deviation at middle of mirror is less than 0.03
μ
m. The research show that the 2-D model could be used in the fast surface error analysis and loading confirmation. According to the analysis of mirror mounting process
the accurate mechanics analysis could provide academic bases and references for improving mounting accuracy.
关键词
Keywords
references
SHEN Z X, WANG X Q, WANG K, et al .. Development of X-ray multilayer telescope optics for XTP mission[J]. SPIE , 2016, 9905:990520.
WEISSKOPF M C, TANANBAUM H D, VAN SPEYBROECK L P, et al .. Chandra X-ray observatory (CXO):overview[J]. SPIE , 2000, 4012:2-16.
ASCHENBACH B. In-orbit performance of the XMM-Newton X-ray telescopes:images and spectra[J]. SPIE , 2002, 4496:8-22.
MCCLELLAND R S, ROBINSON D W. Design concept for the international X-ray observatory flight mirror assembly[C]. IEEE Aerospace Proc. , 2009:1-8.
TANAKA Y, INOUE H, HOLT S S. The X-ray astronomy satellite ASCA(Initial Results from ASCA)[J]. Publications of the Astronomical Society of Japan , 1994, 46(3):L37-L41.
SHIBATA R, ISHIDA M, KUNIEDA H, et al .. X-ray telescope onboard Astro-E. Ⅱ. ground-based X-Ray characterization[J]. Applied Optics , 2001, 40(22):3762-3783.
BAVDAZ M, RANDO N, WILLE E, et al .. ESA-led ATHENA/IXO optics development status[J]. SPIE , 2011, 8147:81470C.
HAILEY C J, CHRISTENSEN F E, CRAIG W W, et al .. Overview of segmented glass optics development for the Constellation-X hard X-ray telescope[J]. SPIE , 2003, 4851:519-527.
JIMENEZ-GARATE M A, HAILEY C J, CRAIG W W, et al .. Thermal forming of glass microsheets for x-ray telescope mirror segments[J]. Applied Optics , 2003, 42(4):724-735.
KOGLIN J E, CHEN C M H, CHONKO J C, et al .. Hard X-ray optics:from HEFT to NuSTAR[J]. SPIE , 2004, 5488:856-867.
CRAIG W W, AN H J, BLAEDEL K L, et al .. Fabrication of the NuSTAR flight optics[J]. SPIE , 2011, 8147:81470H.
WANG Z S, SHEN Z X, MU B Z, et al .. Development of the X-ray timing and polarization telescope optics[J]. SPIE , 2014, 9144:91441E.
CHEN S H, MU B Z, MA S, et al .. Design of hard X-ray focusing telescope with a large field-of-view[J]. SPIE , 2014, 9272:92721R.
MU B Z, XIE Y C, CHEN SH, et al .. Tolerance analysis on nested conical Wolter-Ⅰ X-ray telescope[J]. SPIE , 2012, 8443:844340.
PETRE R, SERLEMITSOS P J. Conical imaging mirrors for high-speed X-ray telescopes[J]. Applied Optics , 1985, 24(12):1833-1837.
SERLEMITSOS P J. Conical foil X-ray mirrors:performance and projections[J]. Applied Optics , 1988, 27(8):1447-1452.
LIU H Y, MU B Z, WANG Z S. Optical design of Wolter-Ⅰ X-ray astronomical telescope[J]. Optical Instruments , 2012, 34(6):31-36. (in Chinese)
GHIGO M, PROSERPIO L, BASSO S, et al .. Slumping technique for the manufacturing of a representative x-ray grazing incidence mirror module for future space missions[J]. SPIE , 2013, 8884:88841Q.
PETRE R, BREGMAN J, BAUTZ M, et al .. The NASA X-ray mission concepts study[J]. SPIE , 2012, 8443:84431I.
SMITH R K, BOOKBINDER J, GARCIA M, et al .. Science metrics for a NASA large optic X-ray microcalorimeter mission[J]. SPIE , 2012, 8443:84431J.
KOGLIN J E, AN H J, BLAEDEL K L, et al .. NuSTAR hard X-ray optics design and performance[J]. SPIE , 2009, 7437:74370C.
MA S X, WANG Z S. Design and production error analysis of CGH for testing the cylinder surface[J]. Optical Instruments , 2015, 37(5):419-425. (in Chinese)