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Applied Optics

Applied Optics


  • Vol. 38, Iss. 22 — Aug. 1, 1999
  • pp: 4766–4775

Optimization of Graded Multilayer Designs for Astronomical X-ray Telescopes

Peter H. Mao, Fiona A. Harrison, David L. Windt, and Finn E. Christensen  »View Author Affiliations

Applied Optics, Vol. 38, Issue 22, pp. 4766-4775 (1999)

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We developed a systematic method for optimizing the design of depth-graded multilayers for astronomical hard-x-ray and soft-γ-ray telescopes based on the instrument’s bandpass and the field of view. We apply these methods to the design of the conical-approximation Wolter I optics employed by the balloon-borne High Energy Focusing Telescope, using W/Si as the multilayer materials. In addition, we present optimized performance calculations of mirrors, using other material pairs that are capable of extending performance to photon energies above the W <i>K</i>-absorption edge (69.5 keV), including Pt/C, Ni/C, Cu/Si, and Mo/Si.

© 1999 Optical Society of America

OCIS Codes
(110.6770) Imaging systems : Telescopes
(230.4170) Optical devices : Multilayers
(340.7470) X-ray optics : X-ray mirrors
(350.1260) Other areas of optics : Astronomical optics

Peter H. Mao, Fiona A. Harrison, David L. Windt, and Finn E. Christensen, "Optimization of Graded Multilayer Designs for Astronomical X-ray Telescopes," Appl. Opt. 38, 4766-4775 (1999)

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  1. K. Yamashita, P. J. Serlemitsos, J. Tueller, S. D. Barthelmy, L. M. Bartlett, K. W. Chan, A. Furuzawa, N. Gehrels, K. Haga, H. Kunieda, P. Kurczynski, G. Lodha, N. Nakajo, N. Nakamura, Y. Namba, Y. Ogasaka, T. Okajima, D. Palmer, A. Parsons, Y. Soong, S. M. Stahl, H. Takata, K. Tamura, Y. Tawara, and B. J. Teegarden, “Supermirror hard-x-ray telescope,” Appl. Opt. 37, 8067–8073 (1998).
  2. P. H. Mao, F. A. Harrison, Y. Y. Platonov, D. Broadway, B. Degroot, F. E. Christensen, W. W. Craig, and C. J. Hailey, “Development of grazing incidence multilayer mirrors for hard X-ray focusing telescopes,” in EUV, X-Ray, and Gamma-Ray Instrumentation for Astronomy VIII, O. H. Siegmund and M. A. Gummin, eds., Proc. SPIE 3114, 526–534 (1997).
  3. C. J. Hailey, S. Abdali, F. E. Christensen, W. W. Craig, T. R. Decker, F. A. Harrison, and M. Jimenez-Garate, “Substrates and mounting techniques for the High-Energy Focusing Telescope (HEFT),” in EUV, X-Ray, and Gamma-Ray Instrumentation for Astronomy VIII, O. H. Siegmund and M. A. Gummin, eds., Proc. SPIE 3114, 535–543 (1997).
  4. H. Tananbaum, N. White, and P. Sullivan, eds., Proceedings of the High Throughput X-ray Spectroscopy Workshop (Harvard-Smithsonian Center for Astrophysics, Cambridge, Mass, 1996).
  5. F. E. Christensen, A. Hornstrup, N. J. Westergaard, H. W. Schnopper, J. L. Wood, and K. Parker, “A graded d-spacing multilayer telescope for high energy X-ray astronomy,” in Multilayer and Grazing Incidence X-ray/EUV Optics, R. B. Hoover, ed., Proc. SPIE 1546, 160–167 (1992).
  6. K. D. Joensen, F. E. Christensen, H. W. Schnopper, P. Gorenstein, J. Susini, P. Hoghoj, R. Hustache, J. L. Wood, and K. Parker, “Medium-sized grazing incidence high-energy X-ray telescopes employing continuously graded multilayers,” in X-Ray Detector Physics and Applications, R. B. Hoover, ed., Proc. SPIE 1736, 239–248 (1993).
  7. K. D. Joensen, P. Voutov, A. Szentgyorgyi, J. Roll, P. Gorenstein, P. Hoghoj, and F. E. Christensen, “Design of grazing-incidence multilayer supermirrors for hard-X-ray reflectors,” Appl. Opt. 34, 7935–7944 (1995).
  8. E. Spiller, Soft X-ray Optics (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1994).
  9. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1993).
  10. L. Kissel and P. M. Bergstrom, Jr., “Anomalous scattering factors,” http://www-phys.llnl.gov/V_Div/scattering/asf.html.
  11. L. Névot and P. Croce, “Charactérisation des surfaces par refléxion rasante de rayons X. Application á l’étude du polissage de quelques verres silicates,” Rev. Phys. Appl. 15, 761–779 (1980).
  12. F. Mezei, “Novel polarized neutron devices: supermirror and spin component amplifier,” Comment Phys. 1, 81–85 (1976).
  13. W. Gropp, E. Lusk, and A. Skjellum, Using MPI: Portable Parallel Programming with the Message-Passing Interface (MIT Press, Cambridge, Mass., 1994).
  14. D. L. Windt, “Multilayer X-ray optics,” in Crystal and Multilayer Optics, A. T. Macrander, D. M. Mills, A. K. Freund, and T. Ishikawa, eds., Proc. SPIE 3448, 280–290 (1998).
  15. D. L. Windt, “Cu/Si depth-graded multilayers for hard X-ray mirrors,” Appl. Phys. Lett. 74, 2890–2892 (1999).
  16. J. H. Hubbell and S. M. Seltzer, “Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients,” Tech. Rep. NISTIR 5632, web version 1.02, National Institute of Standards and Technology http://physics.nist.gov/PhysRefData/XrayMassCoef/cover.html.
  17. K. Yamashita, K. Akiyama, K. Haga, H. Kunieda, G. S. Lodha, N. Nakajo, N. Nakamura, T. Okajima, K. Tamura, and Y. Tawara, “Fabrication and characterization of multilayer supermirrors for hard X-ray optics,” J. Synchrotron Rad. 5, 711–713 (1998).

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